Tesis sobre el tema "Stability analyse"
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Maatar, Dhouha. "Analyse des signaux stabilométriques et de la stabilité chez l’Homme : application à la biométrie". Thesis, Paris Est, 2013. http://www.theses.fr/2013PEST1161/document.
Texto completoBiometrics refers to automatic recognition of individuals. It is based on their physiological and / or behavioral. The postural control, despite that is a human behavioral characteristic, has not been well developed in the field of biometrics. The work performed in this thesis is based on the stabilometric signals analysis ant biometric application. Firstly, a study of the postural information especially the stabilometric signal is carried out through traditional analysis namely temporal, frequency and stochastic analysis and two decomposition methods named principle components analysis (ACP) decomposition and wavelet decomposition. The ACP method, based on the additive model, allows decomposing the signal into three components: a trend signal, a rambling signal and a trembling signal. The wavelet decomposition method allows decomposing the signal into three levels of detail signals and three signal levels of approximation. Through the study of postural stability, spectral analysis and phase analysis of the different components from the ACP and the wavelet decomposition, the comparison of these two methods concludes that the ACP method is more appropriate than the wavelet decomposition to analyze the stabilogram. From the decomposition methods and classical methods of analysis, several parameters are extracted to study the effect of different factors on postural stability and the center of mass displacement. These factors are named vision, direction, proprioception, age, gender, height and weight. A second aspect of this work is devoted to the application of biometrics, from the extracted parameters and through ANOVA statistic analysis, those that are most discriminative are used to identify subjects and classify them according to age, gender, weight and size. This biometric application is performed by three classification methods namely, K-NN, LDA and SVM. Biometric applications result in respectable recognition rate exceeding 80%. Therefore, it is inferred that the analysis of postural control is promising in the field of biometrics
Besse, Apollos. "Modélisation mathématique de la leucémie myéloide chronique". Thesis, Lyon, 2017. http://www.theses.fr/2017LYSE1105/document.
Texto completoThis thesis deals with the dynamics of models of chronic myeloid leukemia (CML). Models of interest describe leukemic cell populations in the bone marrow or in the blood, in competition with healthy cell populations or with the immune system. In a first chapter, we propose a mathematically tractable version of an ordinary differential equation model that describes the interaction of the immune system with leukemic cells. We characterize the existence of steady states and their stability and then we provide a complete bifurcation analysis in co-dimension 1. In a second chapter, we confront this model with clinical data. In a third chapter we propose and analyze a simplified version of a model of partial differential equations that describes the proliferation and differentiation of leukemic stem cells in the bone marrow and the effect of an TKI treatment on these cells. We are interested in the long-term behavior of the solutions, and its dependence on treatment. In a fourth and final chapter, we are interested in the stability of scalar and autonomous differential equations with two delays, which appear naturally in the modeling of many biological or physical phenomena, such as CML
Jin, Chi. "Analyse de stabilité de systèmes à coefficients dépendant du retard". Thesis, Université Paris-Saclay (ComUE), 2017. http://www.theses.fr/2017SACLS411/document.
Texto completoSystems with delay-dependent coefficients have been encountered in various applications of science and engineering. However, general and systematic stability analysis is rarely reported in the rich literature on time-delay systems. This thesis is committed to the stability analysis of such class of systems.Stability analysis methods are developed based on the corresponding characteristic equation following a generalized tau-decomposition approach. Given a delay interval of interest, we are able to identify all the critical delay values contained in this interval for which the characteristic equation admits roots on the imaginary axis of the complex plane. Various root crossing direction criteria are proposed to determine whether these characteristic roots move toward the left or the right half complex plane as the delay parameter sweeps through these critical delay values. The number of unstable characteristic roots for any given delay can thus be determined. Our analysis covers systems with a single delay or commensurate delays under certain assumptions. The root crossing direction criteria developed in this thesis can be applied to characteristic roots with multiplicity, or characteristic roots whose locus parametrized by the delay is tangent to the imaginary axis. As an application, it is demonstrated that systems with delay-dependent coefficients can arise from control schemes that use delayed output to approximate its derivatives for stabilization. The stability analysis methods developed in this thesis are tailored and applied to find the delay intervals that achieve a demanded convergence rate of the closed-loop system
Cochoy, Jérémy. "Decomposability and stability of multidimensional persistence". Thesis, Université Paris-Saclay (ComUE), 2018. http://www.theses.fr/2018SACLS566/document.
Texto completoIn a context where huge amounts of data are available, extracting meaningful and non trivial information is getting harder. In order to improve the tasks of classification, regression, or exploratory analysis, the approach provided by topological data analysisis to look for the presence of shapes in data set.In this thesis, we investigate the properties of multidimensional persistence modules in order to obtain a better understanding of the summands and decompositions of such modules. We introduce a functor that embeds the representations category of any quiver whose graph is a rooted tree into the category of ℝ²-indexed persistence modules. We also enrich the structure of persistence module arising from the cohomology of a filtration to a structure of persistence algebra.Finally, we generalize the approach of Crawley Beovey to multipersistence and identify a class of persistencemodules indexed on ℝ² which have simple descriptor and an analog of the decomposition theorem available in one dimensional persistence
Lerisson, Gaétan. "Stabilité d'une onde de gravité interne, analyse locale, globale et croissance transitoire". Thesis, Université Paris-Saclay (ComUE), 2017. http://www.theses.fr/2017SACLX017/document.
Texto completoInternal gravity waves that exist in a continuously stratified fluid are particularly important in the ocean. They transport energy and are thought to generate turbulent mixing, which contribute to the deep ocean circulation.We generate an internal wave beam that propagates in a continuously stratified fluid with direct numerical simulations. This situation is equivalent to a tidal wave, where the tidal flow oscillates over a topography and generates a wave. Experimental results obtained by cite{Bourget13} are recovered, ie. the beam destabilizes into a small scale mode. We consider the effect of an horizontal mean flow on the instability and lower the forcing frequency in order to compensate for the doppler effect and to keep locally the same wave. A limit case appears when the forcing becomes stationary. This case is equivalent to a lee wave appearing when a stratified fluid flows over a topography.For small mean flow, small scale instabilities develop as in the tidal case. The beam then stabilizes at intermediate mean flows and destabilizes again for increasing flow speed. At this second threshold, down to the lee wave case, the instability is of much larger scale than for the tidal case. Varying the Reynolds number, the Froude number, the wave angle or the beam size doesn't affect the instability scale selection : a small scale instability in the tidal regime, and large scale instability in the lee regime.We show that the instability mechanism may be interpreted using the triadic instability. Scale selection corresponds to different branches of triadic resonance. We confirm the presence of a stability region for intermediate value of the mean advection velocity by computing the linear eigenmode as Floquet mode with an Arnoldi-Krylov technique and show that the leading eigenmode has a negative growth rate.In the lee wave, case the flow is unstable and a selective frequency damping method cite{Akervik06} is used to compute a steady base flow. We then implement a linear direct-adjoint method to compute the optimal perturbations that maximizes the total energy at different time horizons. At short time horizon, the optimal perturbation is small scale while at large time the perturbation switches to a large scale solution and converges to the large scale mode observed through the nonlinear simulations. Short time transients correspond to the small scale triadic instability advected by the flow whereas the long time large scale instability corresponds to large scale branch of the triadic instability that is able to sustain the flow.We propose an interpretation of the selection of these different instabilities in term of absolute and convective instability. In the case of the lee wave, the large scale instability is absolute whereas the small scale instability is convective (and dominates the short time transient growth because it has a larger local growth rate). When the mean flow is varied, the properties of small scale and large scale instabilities exchange: in the tidal case the short scale instability is absolute and the large scale convective. This conjecture is confirmed by computing the impulse response around a plane monochromatic internal gravity wave in an extended two dimensional periodic domain. The spatio temporal evolution of a perturbation localized in space and time points out the formation of three different wave packets corresponding to different branches of triadic instability. Using the triadic theory with finite detuning cite{McEwan77},we derive the group velocity at the maximum growth rate of the three different branches of triadic instability and find a good agreement with the velocity of the three wave paquet maxima in the impulse response. Analyzing the impulse response along rays, i.e. at x/t and z/tconstant, we compute the absolute growth rate along all possible rays and validate our conjecture
Cosson, Marjorie. "Stabilité du réseau électrique de distribution. Analyse du point de vue automatique d'un système complexe". Thesis, Université Paris-Saclay (ComUE), 2016. http://www.theses.fr/2016SACLC065/document.
Texto completoTo maintain the voltage within specified limits, local control laws of distributed generators (DGs) reactive power (Q) with respect to their voltage (U) have been considered. This work studies the impact of Q(U) control laws on distribution feeders’voltage stability. An empirical study confirms the risk of voltage instability and highlights its dependence on control law parameters. To help distribution grid operators to choose these parameters, three methods assessing stability are formulated.First, a formal method based on discrete abstraction and bisimulation calculation is developed. The proposed approach yields precise results but with a high computational load. Then, to overcome this issue, an analytical criterion adapting Q(U) control laws response time with respect to grid parameters is formulated. Finally, a general criterion, valid in any cases, is established in order to be included in the grid codes. To conclude this work, extension to more complex cases is discussed
Hachemi, Fouad El. "Analyse de stabilité des systèmes à commutations singulièrement perturbés". Thesis, Université de Lorraine, 2012. http://www.theses.fr/2012LORR0229/document.
Texto completoMany phenomena we encounter can be described by hybrid models, namely, consisting of one continuous dynamic and one discret dynamic at the same time. Moreover, these dynamics often evolves in different time scales. In this thesis, we deal with the stability analysis of singularly perturbed switched systems in continuous time. When we consider switchings, the "classical" approach (decoupling fast and slow dynamics) allowing to analyse stability of singularly perturbed systems doesn't hold anymore. Considering second order singularly perturbed switched systems woth two modes, we completely characterize de stability behavior of such systems when the perturbation parameter goes to zero. Then, we study the discretization of singularly perturbed switched systems. In particular, we focus on methods allowing to preserve stability and common quadratic Lyapunov functions
Rigaud, Alexandre. "Analyse des notions de stabilité pour les modèles 2D de Roesser et de Fornasini-Marchesini". Thesis, Poitiers, 2022. http://www.theses.fr/2022POIT2307.
Texto completoThis thesis presents the results of research work on different notions of stability used in the literature of multidimensional dynamical systems. More precisely, within the framework of the 2D Roesser and Fornasini-Marchesini models, we analyze the notions of stability in the sense of Lyapunov, asymptotic stability, exponential stability(ies) and structural stability, as well as the relations between these different properties. The first chapter of this thesis carries out a certain number of reminders concerning the definitions of stability and the links which exist between them, with the aim of establishing a solid framework in order to extend these notions from the 1D case to the 2D case. Once these reminders have been established, we present the 2D models that we are studying. The second chapter lists the stability definitions used for the 2D Roesser and Fornasini-Marchesini models and establishes the links between these different definitions. In the third chapter, we propose a necessary and sufficient condition of asymptotic stability for a certain class of linear discrete 2D Fornasini-Marchesini models. The fourth and last chapter proposes a detailed study of a non-linear 1D model which has the rare characteristic of being both attractive and unstable, and we generalize this particular model to the 2D case in order to establish which properties are conserved. or not when passing from the 1D case to the 2D case
Cherifi, Abdelmadjid. "Contribution à la commande des modèles Takagi-Sugeno : approche non-quadratique et synthèse D -stable". Thesis, Reims, 2017. http://www.theses.fr/2017REIMS016/document.
Texto completoThis work deals with the stability analysis and the stabilisation of nonlinear systems represented by T-S models.The goal is to reduce the conservatism of the stability conditions, obtained through the direct Lyapunov methodand written, when it is possible, as LMIs. In this framework, two main contributions has been proposed. First ofall, we have proposed some new conditions based on FLICs, strictly LMIs and without any order restrictions, forthe non-quadratic design of control laws devoted to stabilize T-S models. Indeed, in this non-quadratic context,the existing works are only available for 2nd order T-S models. In order to unlock this restriction, the proposed conditions have been obtained based on the proof of a dual property. Then, starting from the fact that few worksdeals with the closed-loop performances specification, some new LMI conditions (quadratic and non-quadratic)have been proposed via the D-stability concept. As a first step, D-stabilizing PDC and non-PDC controller designhas been considered for nominal T-S models. Then, these results have been extended to uncertain T-S models.Moreover, it has been highlighted, from an example of the attitude D-stabilization of a quadrotor model, that wecan make use of uncertain T-S models to cope with nonlinear models involving nonlinearities depending on bothstate and input variables
Moussavi, Said. "Analyse de la stabilité de la coupe d'un procédé d'usinage robotisé". Thesis, Clermont-Ferrand 2, 2016. http://www.theses.fr/2016CLF22697/document.
Texto completoProductivity in robotic machining processes can be limited by the low rigidity of the overall structure and vibration instability (chatter). The robot’s dynamic behavior, due to changes in its posture along a machining trajectory, varies within its workspace. Chatter in robotic machining therefore depends not only on the cutting parameters but also on the robot configuration. The first objective of this thesis is to determine a dynamic modeling approach of the robot in order to analyze the vibration and the stability in robotic machining. This modeling approach has been realized to dynamic modeling of an ABB IRB6660 industrial robot. The numerical model parameters are adjusted on the basis of experimental modal identifications. Then, a three-dimensional representation of stability lobes diagram for the prediction to take into account the robot dynamic behavior variations in machining trajectory is established. The second objective is to optimize the robot configurations regarding stability. The dynamic behavior variations of the robot in the workspace are exploited through functional redundancy management in order to optimize robot configurations with respect to machining stability. The numerical analyze demonstrated and experimental machining tests confirmed that stability conditions in machining operations can be achieved by managing functional redundancy without changing the cutting parameters
Guo, Xiangfeng. "Probabilistic stability analysis of an earth dam using field data". Thesis, Université Grenoble Alpes, 2020. http://www.theses.fr/2020GRALI017.
Texto completoUncertainties of soil properties are widely encountered in the field of geotechnical engineering especially for earth dams which are constructed with earthen materials. In recent years, there is an increasing need, motivated by the deficiencies of the traditional deterministic approach or guided by the national regulations such as in France, of accounting for these uncertainties for a safe assessment of large dams particularly in the framework of risk analysis studies. However, probabilistic analyses are still complex and not so easy to implement in practice due to the limited number of in-situ measurements, expensive computation efforts and lack of implementation of reliability methods in commercial simulation tools. Moreover, most of the previous studies are based on academic cases and hypothetic data.This work attempts to deal with the aforementioned issues by providing a probabilistic analysis study for the stability of a real earth dam using available field data. This study includes the following main elements: (1) definition of the soil variability by using the available measurements; (2) development of the deterministic models; (3-4) dam probabilistic analyses using the random-variables and random-fields approaches; (5) three-dimensional reliability analysis of the considered dam. Advanced reliability methods, such as the adaptive surrogate modelling, are introduced for the studied earth dam problem. This allows accurately estimating the dam failure probability and the safety factor statistics with a significantly reduced calculation time. In addition, some issues, that remain unknown or unclear in the field of the dam probabilistic analysis, are discussed (e.g. global sensitivity analysis of the soil hydraulic and shear strength parameters; performance survey of five reliability methods; simulation/comparison of three different kinds of random fields: generic (unconditional-stationary), conditional and nonstationary). The presented work, based on real measurements, could be a good supplement to the existing probabilistic studies of geo-structures. Readers will find useful information from the obtained results in order to better solve the practical geotechnical problems in a probabilistic framework
Abid, Walid. "Analyse de la dynamique de certains modèles proie-prédateur et applications". Thesis, Le Havre, 2016. http://www.theses.fr/2016LEHA0001/document.
Texto completoThis thesis is devoted to the study of the dynamics of some problems Leslie Gower-type predator-prey with ordinary differential equations and reaction-diffusion equations. The main objective is to make mathematical analysis, numerical simulation of constructed models. The thesis is divided in three parts : The first part is devoted to a predator-prey system with prey harvesting, the model is given by an ordinary differential equation system. The aim of this part is to study the impact of harvesting on the system behavior. In the second part, we introduce the spatial dimension in the dynamic model considered without harvesting, modeling a food chain of two species with diffusion on the circular area and Holling Type II response function. We perform a complete theoretical analysis of the spatiotemporal dynamics model built and the system study on the circular area. A similar mathematical study is conducted as part of the functional response of Benddington-DeAngelis.We study, also the qualitative behavior of a food chain of three species with a Holling type II response function. In the last party, we introduce of cross-diffusion terms in the considered dynamic model in order to have the effect of the latter on the system behavior
Bourgeois, Magali. "Analyse des instabilités de sillages en écoulement cisaille". Toulouse 3, 1986. http://www.theses.fr/1986TOU30192.
Texto completoPan, Qiujing. "Deterministic and Probabilistic Assessment of Tunnel Face Stability". Thesis, Université Grenoble Alpes (ComUE), 2017. http://www.theses.fr/2017GREAI044.
Texto completoIn the contemporary society, the utilization and exploitation of underground space has become an inevitable and necessary measure to solve the current urban congestion. One of the most important requirements for successful design and construction in tunnels and underground engineering is to maintain the stability of the surrounding soils of the engineering. But the stability analysis requires engineers to have a clear ideal of the earth pressure, the pore water pressure, the seismic effects and the soil variability. Therefore, the research aimed at employing an available theory to design tunnels and underground structures which would be a hot issue with high engineering significance. Among these approaches employed to address the above problem, limit analysis is a powerful tool to perform the stability analysis and has been widely used for real geotechnical works. This research subject will undertake further research on the application of upper bound theorem to the stability analysis of tunnels and underground engineering. Then this approach will be compared with three dimensional analysis and experimental available data. The final goal is to validate new simplified mechanisms using limit analysis to design the collapse and blow-out pressure at the tunnel face. These deterministic models will then be used in a probabilistic framework. The Collocation-based Stochastic Response Surface Methodology will be used, and generalized in order to make possible at a limited computational cost a complete parametric study on the probabilistic properties of the input variables. The uncertainty propagation through the models of stability and ground movements will be evaluated, and some methods of reliability-based design will be proposed. The spatial variability of the soil will be taken into account using the random field theory, and applied to the tunnel face collapse. This model will be developed in order to take into account this variability for much smaller computation times than numerical models, will be validated numerically and submitted to extensive random samplings. The effect of the spatial variability will be evaluated
Caldeira, André. "Techniques d'analyse de stabilité et synthèse de contrôle pour des systèmes hyperboliques". Thesis, Université Grenoble Alpes (ComUE), 2017. http://www.theses.fr/2017GREAT041/document.
Texto completoThis work studies boundary control strategies for stability analysis and stabilization of first-order hyperbolic system coupled with nonlinear dynamic boundary conditions. The modeling of a flow inside a pipe (fluid transport phenomenon) with boundary control strategy applied in a physical experimental setup is considered as a case study to evaluate the proposed strategies. Firstly, in the context of finite dimension systems, classical control tools are applied to deal with first-order hyperbolic systems having boundary conditions given by the coupling of a heating column dynamical model and a ventilator static model. The tracking problem of this complex dynamics is addressed in a simple manner considering linear approximations, finite difference schemes and an integral action leading to an augmented discrete-time linear system with dimension depending on the step size of discretization in space. Hence, for the infinite dimensional counterpart, two strategies are proposed to address the boundary control problem of first-order hyperbolic systems coupled with nonlinear dynamic boundary conditions. The first one approximates the first-order hyperbolic system dynamics by a pure delay. Then, convex stability and stabilization conditions of uncertain input delayed nonlinear quadratic systems are proposed based on the Lyapunov-Krasovskii (L-K) stability theory which are formulated in terms of Linear Matrix Inequality (LMI) constraints with additional slack variables (introduced by the Finsler's lemma). Thus, strictly Lyapunov functions are used to derive an LMI based approach for the robust regional boundary stability and stabilization of first-order hyperbolic systems with a boundary condition defined by means of a nonlinear quadratic dynamic system. The proposed stability and stabilization LMI conditions are evaluated considering several academic examples and also the flow inside a pipe as case study
Chekila, Abdelfateh. "Analyse non linéaire de la stabilité de l'écoulement de Poiseuille plan d'un fluide rhéofluidifiant". Thesis, Université de Lorraine, 2014. http://www.theses.fr/2014LORR0022/document.
Texto completoThe aim of this study is to understand the influence of the nonlinear rheological behaviour of the shear-thinning fluids on the flow stability and transition to turbulence. First, a linear stability analysis using modal approach was carried out. Results clearly highlight the stabilizing effect of shear-thinning. Then, as a first approach to take into account nonlinear effects of viscosity perturbation on the flow stability, a weakly nonlinear stability analysis is performed in the neighbourhood of the critical conditions. Results indicate that shear-thinning reduces the viscous dissipation and, in contrast to inertial terms, the nonlinear viscous terms tend to accelerate the flow and act in favour of supercritical bifurcation. Finally, a nonlinear stability analysis is done by following solution branches in the parameter space using continuation techniques. To deal with highly nonlinear viscous terms, a pseudo-spectral code is developed. Nonlinear equilibrium solutions was found and characterized for various values of the rheological parameters
Ansaldi, Tobias. "Compressible single and dual stream jet stability and adjoint-based sensitivity analysis in relationship with aeroacoustics". Phd thesis, Toulouse, INPT, 2016. http://oatao.univ-toulouse.fr/17505/13/Ansaldi_Tobias.pdf.
Texto completoAvila, Alonso José Luis. "Leucémie aiguë myéoblastique : modélisation et analyse de stabilité". Thesis, Paris 11, 2014. http://www.theses.fr/2014PA112142.
Texto completoAcute Myeloid Leukemia (AML) is a cancer of white cells characterized by a quick proliferation of immature cells, that invade the circulating blood and become more present than mature blood cells. This thesis is devoted to the study of two mathematical models of AML. In the first model studied, the cell dynamics are represented by PDE’s for the phases G₀, G₁, S, G₂ and M. We also consider a new phase called Ğ₀, between the exit of the M phase and the beginning of the G₁ phase, which models the fast self-renewal effect of cancerous cells. Then, by analyzing the solutions of these PDE’s, the model has been transformed into a form of two coupled nonlinear systems involving distributed delays. An equilibrium analysis is done, the characteristic equation for the linearized system is obtained and a stability analysis is performed. The second model that we propose deals with a coupled model for healthy and cancerous cells dynamics in AML consisting of two stages of maturation for cancerous cells and three stages of maturation for healthy cells. The cell dynamics are modelled by nonlinear partial differential equations. Applying the method of characteristics enable us to reduce the PDE model to a nonlinear distributed delay system. For an equilibrium point of interest, necessary and sufficient conditions of local asymptotic stability are given. Finally, we derive stability conditions for both mathematical models by using a Lyapunov approach for the systems of PDEs that describe the cell dynamics
Damak, Sérine. "Approximation de systèmes à paramètres répartis : Analyse, simulation et commande". Thesis, Lyon, INSA, 2015. http://www.theses.fr/2015ISAL0029.
Texto completoThis thesis addresses the approximation of infinite-dimensional linear systems for one-dimension in space, with the input-output approach, by a class of delay systems, and the stability analysis of this class of approximation. In order to preserve the properties of the original properties by interconnection, such as stability and/or input-output performance, the approximation is defined within the graph topology framework. In general, the methods proposed in the literature lead, by approximation, to finite-dimensional models. However, in this topology, such an approximation by lumped plants may not exist. It seems natural to generalize this approximation class by including a delay operator. We then obtain an approximation in the graph topology governed by a model of coupled differential-difference equations. The existence of this class of approximation and the properties of state-realization are studied. A constructive numerical method is proposed for this approximation. After the description of this class of approximation, we investigate stability of this class of operators, by the Lyapunov-Krasovskii approach. This approach consists to involve stability conditions of the form of a convex optimization problem. This stability analysis is extended to the case of systems with uncertain parameters and time-varying delays. We also propose estimates of the decay rate of the solution for the performance analysis. The analysis of the conservatism of the proposed methodology has been studied
Del, Guercio Gerardo. "Optimal streaks amplification in wakes and vortex shedding control". Phd thesis, Toulouse, INPT, 2014. http://oatao.univ-toulouse.fr/12244/1/Del_Guercio.pdf.
Texto completoAl, Khatib Mohammad. "Analyse de stabilité, ordonnancement, et synthèse des systèmes cyber-physiques". Thesis, Université Grenoble Alpes (ComUE), 2017. http://www.theses.fr/2017GREAM041/document.
Texto completoThis is a study conducted on cyber-physical systems on three main aspects: stability verification, scheduling, and parameter synthesis. Embedded control systems (ECS) acting under timing contracts are the considered class of cyber-physical systems in the thesis. ECS refers to integrations of a computing device with the physical system. As for timing contracts they are time constraints on the instants where some events happen such as sampling, actuation, and computation. These contracts are used to model issues that arise in modern embedded control systems: uncertain sampling to actuation delays, uncertain sampling periods, and interaction of several physical systems with shared computational resources (CPUs). Now given an ECS and a timing contract we reformulate the system into an impulsive one and verifies stability of the system, under all possible bounded uncertainties given by the contract, using safe convex approximation techniques and new generalized results for the problem on a class of systems modeled in the framework of difference inclusions. Second given a set of controllers implemented on a common computational platform (CPUs), each of which is subject to a timing contract, and best and worst case execution times on each CPU, we synthesize a dynamic scheduling policy, which guarantees that each timing contract is satisfied and that each of the shared CPUs are allocated to at most one embedded controller at any time. The approach is based on a timed game formulation that allows us to write the scheduling problem as a timed safety game. Then using the tool UPPAAL-TIGA, a solution to the safety game provides a suitable scheduling policy. In addition, we provide a novel necessary and sufficient condition for schedulability of the control tasks based on a simplified timed game automaton. Last, we solve a parameter synthesis problem which consists of synthesizing an under-approximation of the set of timing contracts that guarantee at the same time the schedulability and stability of the embedded controllers. The synthesis is based on a re-parameterization of the timing contract to make them monotonic, and then on a repeatedly sampling of the parameter space until reaching a predefined precision of approximation
Daoud, Yessmine. "Analyse de modèles de la digestion anaérobie : applications à la modélisation et au contrôle des bioréacteurs". Thesis, Montpellier, 2017. http://www.theses.fr/2017MONTS050/document.
Texto completoThis PhD thesis focuses on the mathematical analysis of different anaerobic digestion (AD) models. In a first part, we study a 4-step model with enzymatic degradation of the substrate (organic matter) that can partly be under a solid form. We investigate the effects of hydrolysis on the behavior of the AD process and the production of biogas (namely, the methane and the hydrogen). We consider, in a first model, that the microbial enzymatic activity is constant, then we take into consideration an explicit hydrolytic microbial compartment for the substrate biodegradation. The considered models include the inhibition of acetogens, hydroge- notrophic methanogens and acetoclastic methanogens growth bacteria. To examine the effects of these inhibitions in presence of a hydrolysis step, we first study an inhibition-free model. We determine the steady states and give sufficient and neces- sary conditions for their stability. The existence and stability of the steady states are illustrated by operating diagrams. We prove that modeling the hydrolysis phase by a constant enzymatic activity affects the production of methane and hydrogen. Furthermore, introducing the hydrolytic microbial compartment yields new steady states and affects the stability regions. We prove that the biogas production occurs at only one of the steady states according to the operating parameters and state variables and we determine the maximal rate of biogas produced, in each case. In the second part, we are interested in a reduced and simplified model of the AD pro- cess. We focus on the acetogenesis and hydrogenetrophic methanogenesis phases. The model describes a syntrophic relationship between two microbial species (the acetogenic bacteria and the hydrogenetrophic methanogenic bacteria) with two in- put substrates (the fatty acids and the hydrogen) including both decay terms and inhibition of the acetogenic bacteria growth by an excess of hydrogen in the sys- tem. The existence and stability analysis of the steady states of the model points out the existence of a new equilibrium point which can be stable according to the operating parameters of the system. By means of operating diagrams, we show that, whatever the region of space considered, there exists only one locally exponentially stable steady state. This study is generalized to the case where the growth of the hydrogenetrophic methanogens bacteria is inhibited. This model exhibits a rich be- havior with the existence of two positive steady states and bistability. We illustrate by means of operating diagrams the effect of this inhibition on the reduction of the coexistence region and the emergence of a bistability region
Joret, Gwenaël. "Entropy and stability in graphs". Doctoral thesis, Universite Libre de Bruxelles, 2007. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/210605.
Texto completoLa thèse est divisée en deux parties, toutes deux liées à la notion de stables dans un graphe. Dans la première partie, nous étudions un problème de coloration de graphes, c'est à dire de partition en stables, où le but est de minimiser l'entropie de la partition. C'est une variante du problème classique de minimiser le nombre de couleurs utilisées. Nous considérons aussi une généralisation du problème aux couvertures d'ensembles. Ces deux problèmes sont appelés respectivement minimum entropy coloring et minimum entropy set cover, et sont motivés par diverses applications en théorie de l'information et en bioinformatique. Nous obtenons entre autres une caractérisation précise de la complexité de minimum entropy set cover :le problème peut être approximé à une constante lg e (environ 1.44) près, et il est NP-difficile de faire strictement mieux. Des résultats analogues sont prouvés concernant la complexité de minimum entropy coloring.
Dans la deuxième partie de la thèse, nous considérons les graphes dont le nombre de stabilité augmente dès qu'une arête est enlevée. Ces graphes sont dit être "alpha-critiques", et jouent un rôle important dans de nombreux domaines, comme la théorie extrémale des graphes ou la combinatoire polyédrique. Nous revisitons d'une part la théorie des graphes alpha-critiques, donnant à cette occasion de nouvelles démonstrations plus simples pour certains théorèmes centraux. D'autre part, nous étudions certaines facettes du polytope des ordres totaux qui peuvent être vues comme une généralisation de la notion de graphe alpha-critique. Nous étendons de nombreux résultats de la théorie des graphes alpha-critiques à cette famille de facettes.
Doctorat en Sciences
info:eu-repo/semantics/nonPublished
Xavier, Mathieu. "Étude analytique et numérique du développement de la striction multiple pour des cylindres métalliques en expansion dynamique". Thesis, Université de Lorraine, 2019. http://www.theses.fr/2019LORR0064/document.
Texto completoThis work deals with the fragmentation of dynamically expanding metal shells and covers a problem of interest for both civil and military industries. For both fields of application, it is crucial to predict the size and the speed of fragments, resulting from the destruction of shells in order to measure the consequences that it could have on structures. Current models study the growth of a defect within the material and are able to determine a characteristic size of fragments. Nevertheless, these models require a hypothesis whose validity is questionable when the rate of deformation is important. In this work, we propose a new analytical model for cylinders (equivalent to the dynamic extension of a plate) to overcome this hypothesis and study the influence of the initial defect by following its time evolution. The model is compared successfully with results performed with a finite element method. Our work notably expands the framework of classical linear stability analyses. As a major outcome, the proposed approach is able to track the evolution of a perturbation even for small plastic strain, when the flow may be stable. In addition it is shown that the present approach can predict accurately the time where the elastic unloading is observed in finite element simulations
Battiston, Geoffray. "Amélioration des performances du régulateur des masques à oxygène". Thesis, Université Paris-Saclay (ComUE), 2019. http://www.theses.fr/2019SACLC039.
Texto completoThe vibratory behavior of a regulated oxygen mask is studied here. The oxygen mask integrates a regulator which sends oxygen in response to a demand flow. The vibrations take the form of pressure variations in the mask volume, at the entry of the nasal ways, and their origin is unknown. Among the goals of this thesis work, we will try first to understand the origin and to characterize this phenomenon after a detailed modeling of the regulator, taking accurately into account its geometry. Second, the stabilization of the system’s dynamical trajectory will be studied by applying the Routh criterion to a linearized model around an equilibrium point. Third, some additional dynamical and physical phenomena will be investigated in order to push forward the understanding of the mask functionning. Fourth, and as an opening, time will be taken to mention supplementary tracks for the study of this system
Tricot, Francois. "Analyse et réduction des sources d'instabilitè de fréquence dans une horloge CPT compacte". Thesis, Sorbonne université, 2018. http://www.theses.fr/2018SORUS037/document.
Texto completoThis thesis work has been granted by a CIFRE-Défense contract to study the frequency stabilities of an atomic clock based on coherent population trapping. The objective is to demonstrate a frequency stability in the range of 10-13 tau-1/2 up to 10 000 s. A caesium vapour cell is used with a high-contrast excitation scheme using cross linear polarisations and a Ramsey interrogation. The short-term frequency stability is presented with the reduction of the phase and the laser power noise, both limiting clock performance at 1 s integration time. The optimisation of the microwave chain with a new local oscillator, and the implementation of a very low noise power lock loop have improved the frequency stability down to 2,3x10-13 at 1 s integration time. The fluctuations analysis of the operating parameters (laser intensity, magnetic field, temperature, etc.) and the measurement of the clock frequency show that the medium-term frequency instability is mostly limited by laser power and magnetic field fluctuations at the level of 2x10-14 at 2 000 s integration time. These analyses also show that laser power fluctuations, despite servo loop control, are related to polarisation fluctuations through temperature fluctuations inside the experiment isolation box. Finally, the studies of a dual-frequency and dual-polarisation laser for a compact CPT clock are presented, paving the way to industrialisation by reducing the optical bench
Maisonneuve, Vivien. "Analyse statique des systèmes de contrôle-commande : invariants entiers et flottants". Thesis, Paris, ENMP, 2015. http://www.theses.fr/2015ENMP0007/document.
Texto completoA critical software is a software whose malfunction may result in death or serious injury to people, loss or severe damage to equipment or environmental harm.Software engineering for critical systems is particularly difficult, and combines different methods to ensure the quality of produced software.Among them, formal methods can be used to prove that a software obeys its specifications.This thesis falls within the context of the validation of safety properties for critical software, and more specifically, of numerical properties for embedded software in control-command systems.The first part of this thesis deals with Lyapunov stability proofs.These proofs rely on computations with real numbers, and do not accurately describe the behavior of a program run on a platform with machine arithmetic.We introduce a generic, theoretical framework to adapt the arguments of Lyapunov stability proofs to machine arithmetic.A tool automatically translates the proof on real numbers to a proof with floating-point numbers.The second part of the thesis focuses on linear relation analysis, using an abstract interpretation based on the approximation by convex polyhedrons of valuations associated with each control point in a program.We present ALICe, a framework to compare different invariant generation techniques.It comes with a collection of test cases taken from the program analysis literature, and interfaces with three tools, that rely on different algorithms to compute invariants: Aspic, iscc and PIPS.To refine PIPS results, two code restructuring techniques are introduced, and several improvements are made to the invariant generation algorithms and evaluated using ALICe
Bitar, Mohammad. "L'impact de la réglementation bancaire sur la stabilité et l'efficience des banques islamiques : une analyse comparée avec les banques conventionnelles". Thesis, Grenoble, 2014. http://www.theses.fr/2014GRENG017/document.
Texto completoThis PhD dissertation is the first attempt to examine whether banking regulations have the same impact on the stability and the efficiency of Islamic than for conventional banks. We benefit of Basel III recommendations to investigate the impact of bank capital, liquidity and leverage requirements on the stability and the efficiency of Islamic banks compared to conventional banks. A first exploratory study uses Principal Component Analysis, Logit and Probit methods, and OLS regressions and shows that Islamic banks have higher capital, liquidity, and profitability, but that they are less stable than their conventional counterparts. A second empirical study examines the stability of Islamic banks using conditional quantile regressions and proves that Islamic banks are less stable than conventional banks. It also shows that higher capital and lower leverage improve the adjusted profits of small and highly liquid Islamic banks. Liquidity is positively associated with the stability of large Islamic banks while an opposite effect is detected when small Islamic banks are examined. Finally, we study the efficiency of Islamic banks using Data Envelopment Analysis (DEA) and find that Islamic banks are more efficient than conventional banks. We also find that higher capital and liquidity requirements penalize the efficiency of small and highly liquid Islamic banks, while the opposite is true for financial leverage. These results show that concerning capital requirements for small and highly liquid Islamic banks, a possible trade-off could be found between stability and efficiency
Beneddine, Samir. "Characterization of unsteady flow behavior by linear stability analysis". Thesis, Université Paris-Saclay (ComUE), 2017. http://www.theses.fr/2017SACLX010/document.
Texto completoLinear stability theory has been intensively used over the past decades for the characterization of unsteady flow behaviors. While the existing approaches are numerous, none has the ability to address any general flow. Moreover, clear validity conditions for these techniques are often missing, and this raises the question of their general reliability.In this thesis, this question is addressed by first considering the classical stability approach, which focuses on the evolution of small disturbances about a steady solution -- a base flow -- of the Navier-Stokes equations.To this end, the screech phenomenon -- a tonal noise that is sometimes generated by underexpanded jets -- is studied from alinear stability point of view. The results reveal that the nonlinear dynamics of this phenomenon is well-predicted by a linear base flow stability analysis. A confrontation with other similar analyses from the literature shows that such a satisfactory result is not always observed. However, when a self-sustained oscillating flow is driven by an acoustic feedback loop, as it is the case for the screech phenomenon, cavity flows and impinging jets for instance, then the nonlinearities have a weak impact on the frequency selection process, explaining the ability of a linear analysis to characterize the flow, even in the nonlinear regime.Another alternative approach, based on a linearization about the mean flow, is known to be successful in some cases where a base flow analysis fails. This observation from the literature is explained in this thesis by outlining the role of the resolvent operator, arising from a linearization about the mean flow, in the dynamics of a flow. The main finding is that if this operator displays a clear separation of singular values, which relates to the existence of one strong convective instability mechanism, then the Fourier modes areproportional to the first resolvent modes. This result provides mathematical and physical conditions for the use and meaning of several mean flow stability techniques, such as a parabolised stability equations analysis of a mean flow.Moreover, it leads to a predictive model for the frequency spectrum of a flow field at any arbitrary location, from the sole knowledge of the mean flow and the frequency spectrum at one or more points. All these findings are illustrated and validated in the case of a turbulent backward facing step flow. Finally, these results are exploited in an experimental context, for the reconstruction of the unsteady behavior of a transitional round jet, from the sole knowledge of the mean flow and one point-wise measurement. The study shows that, after following a few experimental precautions, detailed in the manuscript, the reconstruction is very accurate and robust
Saramito, Bernard. "Analyse mathematique et numerique de la stabilite d'un plasma". Paris 6, 1987. http://www.theses.fr/1987PA066615.
Texto completoHussien, Elkhorbatly Bashar. "Modélisation, justification et analyse mathématique de modèles en océanographie". Thesis, Tours, 2019. http://www.theses.fr/2019TOUR4009.
Texto completoThis thesis is devoted to the mathematical study of the water-waves problem concerning two- dimensional motion of an irrotational and incompressible inviscid liquid with a free surface acted only by gravity and surface tension in a highly nonlinear regime. The thesis is separated into two parts of equal importance. In the first part, we justify mathematically more accurate approximation models for the water wave problem that are commonly used in coastal oceanography to describe the propagation of large amplitude surface waves. A new two-dimensional asymptotic shallow-water extended Green-Naghdi system is derived which incorporates the arbitrary higher-order dispersive terms while preserving the full nonlinearity. A well-posedness result and a stability property is then ensured for the one-dimensional case when the bottom is flat and not flat taking into consid- eration a small e
Safi, Khaled. "Human postural stability analysis : application to Parkinsonian subjects". Thesis, Paris Est, 2016. http://www.theses.fr/2016PESC1066/document.
Texto completoRecently, human balance control analysis has received an increasing interest from the research community. The human postural system maintains the stability of the body both in the static posture (quiet standing) and during locomotion. This ability to maintain stability becomes hard with aging and Parkinson's disease (PD) subjects. PD has a strong effect on postural stability during quiet standing situations, and during locomotion. One effective way to assess human stability is to analyze the center of pressure (CoP) displacements of the human body during quiet standing. The recorded CoP displacements in quiet standing are called stabilometric signals. This thesis aims to develop efficient approaches to analyze the human postural stability in quiet standing under visual and feet position conditions, as well as under age and gender. This is achieved using Empirical Mode Decomposition (EMD) method and stabilogram-diffusion technique. In the other part, the discrimination between healthy and PD subjects is very important for diagnosing Parkinson's disease, as well as for evaluating the disease level of the patient. In this context, two approaches are proposed; the first approach consists of an EMD-based temporal and spectral feature extraction from the stabilometric signals. The second approach is based on a Hidden Markov Model (HMM) using the raw stabilometric signals. The HMM model is an efficient tool to analyze temporal and sequential data. Another approach is proposed in order to segment the stabilometric signals according to the visual and feet position conditions. This is achieved using a Hidden Markov Model Regression (HMMR)-based approach. This study help clinicians to better understand the motor strategies used by the subjects during quiet standing and may guide the rehabilitation process. The obtained results clearly show high performances of the proposed approaches with respect to other standard approaches in both postural stability analysis and discrimination healthy from PD subjects
Haratifar, Sanaz. "The stability of electro-reduced milk lipids". Thesis, Université Laval, 2009. http://www.theses.ulaval.ca/2009/25960/25960.pdf.
Texto completoŘíhová, Lada. "Zhodnocení finanční situace podniku a návrhy na zlepšení". Master's thesis, Vysoké učení technické v Brně. Fakulta podnikatelská, 2008. http://www.nusl.cz/ntk/nusl-221830.
Texto completoDesrayaud, Gilles. "Analyse de stabilite lineaire dans un milieu semitransparent : determination experimentale des limites de stabilite dans un milieu transparent". Paris 6, 1987. http://www.theses.fr/1987PA066089.
Texto completoGuiho, Florian. "Analyse de stabilité linéaire globale d'écoulements compressibles : application aux interactions onde de choc / couche limite". Thesis, Paris, ENSAM, 2015. http://www.theses.fr/2015ENAM0003/document.
Texto completoThe general purpose of this study is to provide a better understanding of the dynamics of an interaction between a shock wave and a laminar or turbulent boundary layer. In particular, we were interested in mechanisms responsible for the emergence of low-frequency self-sustained oscillations. This phenomenon arises in numerous industrial cases as in air inlets of supersonic aircrafts, around a profile of wing in transonic regime and within over-extended nozzle. The first part of this report handles various studies carried out to determine the phenomenology of this kind of dynamics. Secondly, we explain the strategy adopted to make our study which consists in developing a tool of study of the instabilities adapted to turbulent flows including an interaction between a shock wave and a boundary layer. The development of a linearized CFD tool coupled with a method of resolution of a eigenvalue problem by a free-matrix approach ( " time-stepping " approach), allowed the realization of such a study. After a stage of validation of our tool, we studied cases of flows including an interaction between a shock wave and a boundary layer. Three cases in particular were handled. The first case corresponds to an interaction enter an oblique shock wave impacting on a laminar boundary layer developing on a flat plate. This case is generally qualified in the literature of case as " reflected shock wave". We show that such a flow is globally stable and that the dynamics of such a flow behaves as a selective noise amplifier, the dynamic is mainly driven by receptivity mechanisms and by the response of upstream white nose disturbance. Two other cases have been studied on this work, the case of a transonic flow around a profile wing of NACA0012 type around the onset of buffet phenomenon and the case of transonic nozzle of Sajben type on over-extended regime. In the first case, the global stability analysis allows us to highlight the buffet phenomenon of on the profile NACA0012, what shows that the phenomenon is linked to a linear global instability. In the second case, the analysis of stability does not allow to explain the self-sustained low frequencies phenomenon, and shows that the flow is linearly globally stable. In this case, the dynamics is convective, passing and piloted by receptivity mechanisms
Bassam, Maya. "Étude de la stabilité de quelques systèmes d'équations des ondes couplées sur des domaines bornés et non bornés". Thesis, Valenciennes, 2014. http://www.theses.fr/2014VALE0034/document.
Texto completoThe thesis is driven mainly on indirect stabilization system of two coupled wave equations and the boundary stabilization of Rayleigh beam equation. In the case of stabilization of a coupled wave equations, the Control is introduced into the system directly on the edge of the field of a single equation in the case of a bounded domain or inside a single equation but in the case of an unbounded domain. The nature of thus coupled system depends on the coupling equations and arithmetic Nature of speeds of propagation, and this gives different results for the polynomial stability and the instability. In the case of stabilization of Rayleigh beam equation, we consider an equation with one control force acting on the edge of the area. First, using the asymptotic expansion of the eigenvalues and vectors of the uncontrolled system an observability result and a result of boundedness of the transfer function are obtained. Then a polynomial decay rate of the energy of the system is established. Then through a spectral study combined with a frequency method, optimality of the rate obtained is assured
Conteville, Laurie. "Analyse de la stabilité des réseaux d'oscillateurs non linéaires, applications aux populations neuronales". Phd thesis, Université Paris Sud - Paris XI, 2013. http://tel.archives-ouvertes.fr/tel-00904403.
Texto completoFitton, George. "Analyse multifractale et simulation des fluctuations de l'énergie éolienne". Phd thesis, Université Paris-Est, 2013. http://tel.archives-ouvertes.fr/tel-00962318.
Texto completoDestyl, Edes. "Modélisation et analyse de systèmes d'équations de Schrödinger non linéaires". Thesis, Antilles, 2018. http://www.theses.fr/2018ANTI0283/document.
Texto completoThe works of this thesis concern the modeling and the numerical study of thesystems of two coupled nonlinear Schrödinger equations. At first, we considered aparity-time-symmetric system of the two coupled nonlinear Schrödinger (NLS) equationsthat modeled phenomenons in birefringent nonlinear optical fiber. We studythe behavior of the solution in some spaces like the Sobolev space H1. And we studythe numerical aspect of the model which clearly shows the behavior of the solutionin the chosen space. For the same model in higher dimension, we establish sufficientconditions for the initial conditions to blow up in finite time for some nonlinearityand for others we do the numerical study of the model and we present some casesof blowing up of the solution in finite time and also of the solutions of the modelthat exist all the time. On the other hand, we address a new model of discrete nonlinearSchrödinger equations PT -symmetric. A such model describes dynamics inthe chain of weakly coupled pendula pairs near the resonance between the parametricallydriven force and the linear frequency of each pendulum. In order to studythe stability of the pendulums, we establish sufficient conditions on the parametersof the model so that the equilibrium solution is stable. Numerical experiments arepresented to validate the analytical results and to characterize the unstabilizationof the coupled pendulum chain in the region of instability
Muller, Frédéric. "Simulations de jets propulsifs : application à l'identification des mécanismes générateurs de bruit". Paris 6, 2006. http://www.theses.fr/2006PA066390.
Texto completoRondon, Andres. "Recherche d’un critère mécanique de stabilité dans le cadre du planning de l’arthroplastie totale de hanche. Analyse numérique du comportement vibratoire de l’implant et caractérisation de l’interface os-implant". Thesis, Paris 6, 2017. http://www.theses.fr/2017PA066059/document.
Texto completoThis thesis work is concerned with the enhancement of three-dimensional preoperative planning (P3D) tools for total hip reconstruction. When cementless implants are used, primary stability is vital for a good osseointegration. For this, a correct selection of the size and position of the implant is necessary. The surgeon may use P3D based on the computed tomography scanner of the patient’s hip to optimally select the implant’s size and anticipate the final implant’s position. Available planning methods lack a mechanical criterion reflecting the actual quality of the bone-implant contact. In this work we propose a method to improve P3D using a vibrational finite element analysis to calculate patient-specific mechanical parameters representative of primary stability. We found that the modal response of the stem is very sensitive to changes of the area and apparent stiffness of the bone-implant interface. A clear transition between loose and tight contact allowed the definition of thresholds that could potentially discriminate between a stable and an unstable stem. We also studied the effect of the broaching procedure and its relevance for P3D. The effect of broaching on bone microstructure at the bone-implant interface was analyzed using cadaveric samples and micro-computed tomography. A mapping of the stiffness of bone in contact with the implant was obtained with indentation on the same cadaveric samples
He, Yuan. "Analyse et contrôle de modèles de dynamique de populations". Thesis, Bordeaux 1, 2013. http://www.theses.fr/2013BOR14918/document.
Texto completoThis thesis is divided into two parts.One is mainly devoted to make a qualitative analysis and exact null controlfor a class of structured population dynamical systems, and the other concernsstability of conductivities in an inverse problem of a reaction-diffusion systemarising in electrocardiology.In the first part, we study the dynamics ofEuropean grape moth, which has caused serious damages on thevineyards in Europe,North Africa, and even some Asian countries.To model this grapevine insect, physiologically structured multistage population systems are proposed.These systemshave nonlocal boundary conditions arising in nonlocal transition processes in ecosystem.We consider the questions of spatial spread of the populationunder physiological age and stage structures,and show global dynamical properties for the model.Furthermore, we investigate the control problem for this Lobesia botrana modelwhen the growth function is equal to $1$.For the case that four subclasses of this system are all in static station,we conclude that the population of eggs can be controlled to zero at acertain moment by acting on eggs.While the adult moths can disperse,we describe a control by a removal of egg and larvapopulation, and also on female moths in a small region of the vineyard.Then the null controllability for female mothsin a nonempty open sub-domain at a given time is obtained.In the second part, a reaction-diffusion system approximating a parabolic-elliptic systemwas proposed tomodel electrical activity in the heart. We are interested inthe stability analysis of an inverse problem for this model.Then we use the method of Carleman estimates and certain weight energyestimatesfor the identification of diffusion coefficients for the parabolicsystem to draw the conclusion
Bridel-Bertomeu, Thibault. "Investigation of unsteady phenomena in rotor/stator cavities using Large Eddy Simulation". Thesis, Toulouse, INPT, 2016. http://oatao.univ-toulouse.fr/17867/1/BRIDEL_BERTOMEU.pdf.
Texto completoMartin, Maverick. "Structures spatiales déployables constituées de mètres rubans : analyse et implémentation de modèles de poutre à section flexible". Thesis, Aix-Marseille, 2017. http://www.theses.fr/2017AIXM0571/document.
Texto completoDue to their lightness, compactness, their autonomous deployment and their ability to self-locking while deployed, tape-springs are considered to deploy structures. These slender and cylindrical structures highlight a complex behaviour because of the formation of localised folds. Tape-springs are then difficult to model but a rod model with flexible cross-section (RFleXS) has been developed in order to characterise the tape-spring behaviour.The purpose of this PhD was to develop numerical tools dedicated to design structures deployed by tape-spings. A dimensionless form of the RFleXS model dedicated to shallow tape spring has been developed and links with a regularised Ericksen's bar have been made. These links help to explain folds creation and to determine characteristics of the three constitutive areas of a fold. Analysis of the dimensionless model leads to determine the finite number and the position of bifurcation points for the pure bending of a tape-spring. The cross-section kinematic is enriched; simulations of bending tests then show a good correlation with shell models. A new implementation of RFleXS models is introduced, leading to the creation of two numerical tools: a full finite element software and a one-dimensional element with two nodes incorporated in Abaqus. Some bending experiments have been performed in order to compare simulations with measured data. Even if discrepancies are observed, these comparisons show that the tape-spring overall behaviour is well predicted by rod models with flexible cross-section
Taousser, Fatima Zohra. "Analyse de stabilité des systèmes à commutations sur un domaine de temps non-uniforme". Thesis, Valenciennes, 2015. http://www.theses.fr/2015VALE0038/document.
Texto completoThis thesis deals with the stability analysis of switched systems that evolve on non uniform time domain by introducing the time scale theory. We are interested mainly in dynamical linear switched systems defined on particular time scale T = P{tσk ,tk+1} = ∪∞k=0[tσk, tk+1]. The studied system switches between a continuous-time dynamical subsystem on the intervals ∪∞k=0[tσk, tk+1[ and a discrete-time dynamical subsystem on instants ∪∞k=0{tk+1} (a discrete time) with a time-varying discrete step. In a first part, sufficient conditions are given to guarantee the exponential stability of this class of switched systems. Then necessary and sufficient conditions for stability are given by determining a region of exponential stability. In the second part, the stability of this class of switched systems with nonlinear uncertainties, is treated using majoration of the solution, and after that by introducing the approach of a common Lyapunov function. The third part is devoted to the consensus problem under intermittent information transmissions where the closed-loop multi-agent system can be represented as a switched system using a combination of linear continuous-time and linear discrete-time systems
Tian, Tian. "Analysis and control of nonlinear multiple-input systems with coupled dynamics by the method of Normal Forms". Thesis, Paris, ENSAM, 2017. http://www.theses.fr/2017ENAM0029/document.
Texto completoSystems composed with a sum of interconnected sub-systems offer the advantages of a better flexibility and redundancy for an increased reliability. One of the largest and biggest system based on this concept ever devised by man is the interconnected power system.Phenomena encountered in the newest interconnected power systems are more and more nonlinear and the development of new tools for their study is od major concern. Among the existing tools, this PhD work presents the development and the application of the Normal Form theory to the study of the interactions existing on an interconnected power system. The specific objectives of this PhD work are the development of the Normal Form theory up to the third order, the application of this method to study power system interarea oscillations and the gain of the developed method for the study of stability of power systems
Ikezouhene, Yaghkob. "Analyse numérique discrète de l'aléa fontis et du foisonnement associés aux cavités souterraines". Thesis, Paris Est, 2017. http://www.theses.fr/2017PESC1109/document.
Texto completoOver time, the underground cavities are subjected to aging and several types of degradation can occur. The old underground cavities have probably not been designed to be stable over the long term. They have sometimes been totally or partially backfilled, but not in a systematic way. The collapse of a mine causes deconsolidation of the upper levels of the overburden. These mechanisms can cause two types of disorders on the surface: subsidence or sinkhole. Subsidence and sinkhole can cause severe damage to structures and infrastructures in surface, but also jeopardize the safety of the population.The work of this thesis revolves around the study of rock's bulking, sinkhole and its spread in the overburden. The aims of this thesis are twofold: firstly, to study the bulking of rock during the roofs mine collapse; Secondly, modeling the spread of the sinkhole in the overburden and thus to prioritize the parameters associated with this phenomenon.The first part of this thesis is a bibliographical study which summarizes the methods of exploitation, methods of analysis of stability of underground quarries, methods of prediction of the height of collapse and estimation of the bulking factor. At the end of this bibliographic synthesis, the study focused on shallow underground quarries operated by rooms and pillars. Thus, numerical modeling using the discrete element method (MED) was chosen to analyze the instability of roofs of underground quarries.The second part focuses on the development of a numerical model with the following objectives: on the one hand, the development of a Rock Mass Discretization Program (RMDP) which constitutes the preprocessor of the STTAR3D software and the development of a Code allowing calculation of the bulking factor of the rubble of collapse. On the other hand, implementation of the behavior laws on STTAR3D.The third part consists of determining, on the one hand, the physicals and mechanicals characteristics of samples taken from the quarry of the Brasserie (Paris-France), which was chosen to test the model developed. On the other hand, determining of parameters of the behavior law used for modeling the contacts, namely “” and “μ”.Finally, the last part of this work is made of numerical simulations for which the parameters of the behavior law measured experimentally have been introduced in STTAR3D. In the first numerical study, we investigate the effect of fall height, the radius of the initial opening of the sinkhole and the fracturing degree on the bulking of the rubble, as well as the effect of variation of the bulking on the collapse height and on the subsidence. In a second step, a model of the Brasserie’s mine is realized, the behavior of which is studied by numerical simulation in order to obtain the subsidence on the surface and the collapse height, which are compared with the in-situ observations
Jajoo, Vibhor. "Instabilités de Faraday dans les fluides binaires". Thesis, Bordeaux, 2017. http://www.theses.fr/2017BORD0929/document.
Texto completoWhile it is well known that the phenomenon of Faraday instability is a manifestation of vibrational acceleration, its behaviour when both the capillary and gravitational effects vanish, remains unexplored theoretically and experimentally. A detailed experimental and theoretical study is performed to understand the physics of this phenomenon in small rectangular geometry where the proximity of wall results in considerable sidewall stresses. A novel binary liquids system is utilized with low interfacial tension for a near flat interface. Thermal control of fluid system is utilized for achieving reduction in capillary force with study of miscible fluids where interfacial tension reduces to almost zero. In order to discriminate between gravity and capillarity effects, experiments were performed in parabolic flight campaigns. . For the theoretical approach a linear stability analysis is performed through Navier-Stokes equations in a Newtonian incompressible viscous fluid system. This is achieved through a Fourier Floquet method resulting into an eigenvalue problem. Equations are solved by including viscous damping effects for compensating sidewall stresses. Experimentally binary fluids provided a convenient option of changing the coefficient of interfacial tension by temperature control and going through immiscible to miscible system without change of liquid charge. Viscous damping rate is determined experimentally by measuring the linear damping rate. The correction in the theoretical calculations with the viscous damping rate helped in achieving a better understanding of the prediction of the experimental critical amplitude for sub-harmonic and harmonic modes
Abdelmoula, Mohamed. "Phénomènes non linéaires et chaos dans les systèmes d’énergie renouvelable – Application à une installation photovoltaïque". Thesis, Reims, 2017. http://www.theses.fr/2017REIMS001/document.
Texto completoIn order to satisfy future energy requirement and reduce environmental impact, application of clean renewable energy, have been reconsidered recently. In this context, a growing interest in isolated power system has been observed. The need of low power topologies fed by photovoltaic array avoiding the use oftransformer open the study of small-scale stand-alone power system. Hence, theneed to study the associated control design strategies ensuring stability, reliability and high efficiency.As systems become more complex, nonlinearities play an increasingly importantrole in stand-alone power system behaviour. Modeling must accurately reflect component and system dynamics. In addition, analysis tools should continue to workreliably, even under various system conditions, providing accurate predictions of systems behaviour.This work is devoted to the study of a stand-alone photovoltaic power system.The proposed structure consists on photovoltaic array, a dc-dc buck converter, anda load connected in cascade through a dc bus. The research efforts focus on themodeling process and stability analysis, which leads to an implementation with acomprehensive description validated through simulation results.After giving the state-of-the-art in second chapter, the manuscript is divided into four chapters. These parts are dedicated to photovoltaic plant modeling, the numeric simulation improvements and dynamic investigation of the photovoltaic system under digital controls.The thesis presents an overview of the photovoltaic generator models. Then, amodified photovoltaic array model is proposed. We also detailed the photovoltaic plant modeling process. An improved Differential-Algebraic Equations (DAEs)solver is then investigated. We also described the photovoltaic system by a simplified discrete model. Then, the dynamic stability analysis is detailled. In addition,we have studied the chaotic behaviour that appears in the photovoltaic plant basedon the two-cell dc-dc buck converter.The aim of the last part is to show, using control theory and numerical simulation,how to apply a method to stabilize the chaotic orbit. Finally, to accomplish this aim, a time-delayed feedback controller is used