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Bourdin, Loïc. "Contributions au calcul des variations et au principe du maximum de Pontryagin en calculs time scale et fractionnaire". Thesis, Pau, 2013. http://www.theses.fr/2013PAUU3009/document.
Pełny tekst źródłaThis dissertation deals with the mathematical fields called calculus of variations and optimal control theory. More precisely, we develop some aspects of these two domains in discrete, more generally time scale, and fractional frameworks. Indeed, these two settings have recently experience a significant development due to its applications in computing for the first one and to its emergence in physical contexts of anomalous diffusion for the second one. In both frameworks, our goals are: a) to develop a calculus of variations and extend some classical results (see below); b) to state a Pontryagin maximum principle (denoted in short PMP) for optimal control problems. Towards these purposes, we generalize several classical variational methods, including the Ekeland’s variational principle (combined with needle-like variations) as well as variational invariances via the action of groups of transformations. Furthermore, the investigations for PMPs lead us to use fixed point theorems and to consider the Lagrange multiplier technique and a method based on a conic implicit function theorem. This manuscript is made up of two parts : Part A deals with variational problems on time scale and Part B is devoted to their fractional analogues. In each of these parts, we follow (with minor differences) the following organization: 1. obtaining of an Euler-Lagrange equation characterizing the critical points of a Lagrangian functional; 2. statement of a Noether-type theorem ensuring the existence of a constant of motion for Euler-Lagrange equations admitting a symmetry;3. statement of a Tonelli-type theorem ensuring the existence of a minimizer for a Lagrangian functional and, consequently, of a solution for the corresponding Euler-Lagrange equation (only in Part B); 4. statement of a PMP (strong version in Part A and weak version in Part B) giving a necessary condition for the solutions of general nonlinear optimal control problems; 5. obtaining of a Helmholtz condition characterizing the equations deriving from a calculus of variations (only in Part A and only in the purely continuous and purely discrete cases). Some Picard-Lindelöf type theorems necessary for the analysis of optimal control problems are obtained in Appendices
Lagache, Marc-Aurèle. "Analyse de problèmes inverses et directs en théorie du contrôle". Thesis, Toulon, 2017. http://www.theses.fr/2017TOUL0008/document.
Pełny tekst źródłaThe overall context of this thesis is the study of inverse and direct problems in control theory. More specifically, the following three problems are studied.The first one is an optimal control problem (direct approach). The aim is to give a time minimum systhesis fora kinematic model of a UAV flying at constant altitude with positive (non-necessarily constant) linear velocityin order to steer it to a fixed circle of minimum turning radius.The second problem deals with an inverse approach of optimal control. The aim is to develop theoretical methods in order to reconstruct the minimized criterion in an optimal control problem from a set of solution to this problem. The aim is also to characterize the « good » sets of trajectories leading to the reconstruction of the criterion. In the last fifteen years, there has been a renewed interest in inverse optimal control, especially inhuman motor behavior. Indeed, according to a well accepted paradigm in neurophysiology, among all possible movements, those actually accomplished are solutions of an optimization process.The third problem tackles output feedback stabilization. We analyze, via a simple academic example from quantum control, the problem of dynamic output feedback stabilization, when the point where we want to stabilize corresponds to a control value that makes the system unobservable. The general idea is to perturb the stabilizing state feedback in order to ensure the observability of the system while stabilizing it to the target.The analysis of this example allows, secondly, to identify a general procedure that can be applied to a widerclass of systems
Sebesta, Kenneth. "Optimal observers and optimal control : improving car efficiency with Kalman et Pontryagin". Phd thesis, Université de Bourgogne, 2010. http://tel.archives-ouvertes.fr/tel-00935177.
Pełny tekst źródłaFontaine, Clément. "Supervision optimale des véhicules électriques hybrides en présence de contraintes sur l’état". Thesis, Valenciennes, 2013. http://www.theses.fr/2013VALE0024.
Pełny tekst źródłaParallel hybrid electric vehicles are generally propelled by an internal combustion engine, which is combined to a reversible electric machine. The power flows between these two traction devices are determined by a supervisory control algorithm, which aims at reducing the fuel consumption and possibly some polluting emissions. In the literature, optimal control theory is now recognized as a powerful framework for the synthesis of energy management strategies for full hybrid vehicles. These strategies are referred to as “Equivalent Consumption Minimization Strategies” (ECMS) and are based on the Pontryagin Maximum Principle. To demonstrate the optimality of ECMS, it must be assumed that the storage system limits are not reached during the drive cycle. This hypothesis cannot be made anymore when considering the micro and mild hybrid vehicles studied in this thesis because the state variable generally reaches several times the boundaries. Some mathematical tools suitable for the study of state constrained optimal control problems are introduced and applied to two energy management problems. The first problem consists in determining the optimal profile of the voltage across a pack of ultra-capacitors. The second problem focuses on a dual storage system. The stress is put on the study of the optimality conditions holding in case of active state constraints. Some consequences of these conditions for the online control are pointed out are exploited for the design of a real-time controller. Its performances are assessed using a demonstrator vehicle. A comparison with a classical ECMS-based approach is also provided
Bertin, Étienne. "Robust optimal control for the guidance of autonomous vehicles". Electronic Thesis or Diss., Institut polytechnique de Paris, 2022. http://www.theses.fr/2022IPPAE012.
Pełny tekst źródłaThe guidance of a reusable launcher is a control problem that requires both precision and robustness: one must compute a trajectory and a control such that the system reaches the landing zone, without crashing into it or exploding mid-flight, all while using as little fuel as possible. Optimal control methods based on Pontryagin's Maximum Principle can compute an optimal trajectory with great precision, but uncertainties, the discrepancies between estimated values of the initial state and parameters and actual values, cause the actual trajectory to deviate, which can be dangerous. In parallel, set-based methods and notably validated simulation can enclose all trajectories of a system with uncertainties.This thesis combines those two approaches to enclose sets of optimal trajectories of a problem with uncertainties to guarantee the robustness of the guidance of autonomous vehicles.We start by defining sets of optimal trajectories for systems with uncertainties, first for mathematically perfect trajectories, then for the trajectory of a vehicle subject to estimation errors that can use, or not use, sensor information to compute a new trajectory online. Pontryagin's principle characterizes those sets as solutions of a boundary value problem with dynamics subject to uncertainties. We develop algorithms that enclose all solutions of these boundary value problem using validated simulation, interval arithmetic and contractor theory. However, validated simulation with intervals is subject to significant over-approximation that limits our methods. To remedy that we replace intervals by constrained symbolic zonotopes. We use those zonotopes to simulate hybrid systems, enclose the solutions of boundary value problems and build an inner-approximation to complement the classical outer-approximation. Finally, we combine all our methods to compute sets of trajectories for aerospace systems and use those sets to assess the robustness of a control
Nayet, Aymeric. "Improvement of a trajectory optimization software for future Ariane missions". Electronic Thesis or Diss., Sorbonne université, 2022. http://www.theses.fr/2022SORUS591.
Pełny tekst źródłaThis thesis work is about the improvement of an ArianeGroup in-house software dedicated to the optimization of launcher trajectories. The original version is able to find a minimum consumption trajectory for an upper stage of a three-stage launcher outside the atmosphere in one or two boosts through a fully automatic method. The goal is to build on this existing work to create a method capable of finding an upper stage trajectory for a two-stage launcher. The specificity is that the stage has a lower initial velocity, a heavier mass and it is ignited at a lower altitude. The improvements also concern the addition of a maximum thermal flux constraint, a ballistic duration constraint and a fairing jettisoning constraint on a thermal flux criterion. Moreover, the new software is now able to target different combinations of orbital parameters. We take advantage of the work done on two-stage launchers to make the software capable of jettisoning a lower stage and thus optimizing the transfer of a three-stage launcher since the ejection of boosters. All these improvements are based on subsequent mathematical developments and novelties about hybrid optimal control problems, in particular when the dynamics of the problem is that of the flight of a launcher
Cerf, Max. "Optimisation de trajectoires spatiales. Vol d'un dernier étage de lanceur - Nettoyage des débris spatiaux". Phd thesis, Université Pierre et Marie Curie - Paris VI, 2012. http://tel.archives-ouvertes.fr/tel-00736748.
Pełny tekst źródłaTaylor, Tracy A. "Optimal Control and Its Application to the Life-Cycle Savings Problem". VCU Scholars Compass, 2016. http://scholarscompass.vcu.edu/etd/4288.
Pełny tekst źródłaKontz, Cyrill. "Contrôle Optimal de la Dynamique Dissipative de Systèmes Quantiques". Phd thesis, Université de Bourgogne, 2008. http://tel.archives-ouvertes.fr/tel-00325098.
Pełny tekst źródłaFontaine, Clément. "Supervision optimale des véhicules électriques hybrides en présence de contraintes sur l'état". Phd thesis, Université de Valenciennes et du Hainaut-Cambresis, 2013. http://tel.archives-ouvertes.fr/tel-00981589.
Pełny tekst źródłaDhar, Gaurav. "Contributions en théorie du contrôle échantillonné optimal avec contraintes d’état et données non lisses". Thesis, Limoges, 2020. http://www.theses.fr/2020LIMO0050.
Pełny tekst źródłaThis dissertation is concerned with first-order necessary optimality conditions in the form of a Pontryagin maximum principle (in short, PMP) for optimal sampled-data control problems with free sampling times, running inequality state constraints and nonsmooth Mayer cost functions.Chapter 1 is devoted to notations and basic framework needed to describe the optimal sampled-data control problems to be encountered in the manuscript. In Chapter 2, considering that the sampling times can be freely chosen, we obtain an additional necessary optimality condition in the PMP called the Hamiltonian continuity condition. Recall that the Hamiltonian function, which describes the evolution of the Hamiltonian taking values of the optimal trajectory and of theoptimal sampled-data control, is in general discontinuous when the sampling times are fixed. Our result proves that the continuity of the Hamiltonian function is recovered in the case of optimal sampled-data controls with optimal sampling times. Finally we implement a shooting method based on the Hamiltonian continuity condition in order to numerically determine the optimal sampling times in two linear-quadratic examples.In Chapter 3, we obtain a PMP for optimal sampled-data control problems with running inequality state constraints. In particular we obtain that the adjoint vectors are solutions to Cauchy-Stieltjes problems defined by Borel measures associated to functions of bounded variation. Moreover, we find that, under certain general hypotheses, any admissible trajectory (associated to a sampled-data control) necessarily bounces on the runningine quality state constraints. Taking advantage of this bouncing trajectory phenomen on, we are able to use thePMP to implement an indirect numerical method which we use to numerically solve some simple examples of optimal sampled-data control problems with running inequality state constraints. In Chapter 4, we obtain a PMP for optimal sampled-data control problems with nonsmooth Mayer cost functions. Our proof directly follows from the tools of nonsmooth analysis and does not involve any regularization technique. We determine the existence of a selection in the subdifferential of the nonsmooth Mayer cost function by establishing a more general result asserting the existence a universal separating vector for a given compact convex set. From the application of this result, which is called universal separating vector theorem, we obtain a PMP for optimal sampled-data control problems with nonsmooth Mayer cost functions where the transversality conditon on the adjoint vector is given by an inclusion in the subdifferential of the nonsmooth Mayer cost function.To obtain the optimality conditions in the form of a PMP, we use different techniques of perturbations of theoptimal control. In order to handle the state constraints, we penalize the distance to them in a corresponding cost functional and then apply the Ekeland variational principle. In particular, we invoke some results on renorming Banach spaces in order to ensure the regularity of distance functions in the infinite-dimensional context. Finally we use standard notions in nonsmooth analysis such as the Clarke generalized directional derivative and theClarke subdifferential to study optimal sampled-data control problems with nonsmooth Mayer cost functions
Zhou, Yue. "Trajectory planning strategies of connected automated vehicles for cooperative on-ramp merging and mainline facilitating Maneuvers". Thesis, Queensland University of Technology, 2019. https://eprints.qut.edu.au/132687/1/Yue_Zhou_Thesis.pdf.
Pełny tekst źródłaFelixová, Lucie. "Matematické metody teorie optimálního řízení a jejich užití". Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2011. http://www.nusl.cz/ntk/nusl-229886.
Pełny tekst źródłaCellier, Loïc. "Evitement de conflits aériens par une régulation subliminale en vitesse : modélisation & résolution via le contrôle optimal". Thesis, Toulouse 3, 2015. http://www.theses.fr/2015TOU30194.
Pełny tekst źródłaThe purpose of this doctoral thesis is to study models and solution techniques based on optimal control approaches to address air tra_c management problems. Motivated by the growth of air tra_c volume, and by the advances in optimal control theory, this research works focus on analysing aircraft conflict avoidance problem. This study allows development of new approaches and algorithms to help air tra_c controllers. In the framework of air tra_c management, to ensure the minimum safety distances between aircraft, in tactical phases and en-route flight configurations, this thesis focusses on a subliminal velocity regulation strategy to perform the separation, while preserving the aircraft predefined trajectories. A numerical optimal control solution approach as the direct shooting method, wherein involves a total or partial discretization of the problem, transforms the initial problem into a large scale nonlinear programming problem. This kind of methods could generate large-size optimization problems which are numerically di_cult to solve. Depending on the number of variables which involved, this approaches could be too expensive in terms of computation time. Moreover, the state-variables constraints of the problem lead to numerical di_culties, e.g., considering the indirect numerical shooting method. Tailored on aircraft conflict avoidance problems, a detection and a determination of a priori conflict zones allow the decomposition of the optimal control problem into sub-problems, easier to solve than the original one. Solving the o_-zones sub-problems can be addressed using the Pontryagin maximum principle, which allows in this case directly the solution. A combination of direct numerical shooting method and application of conditions of Pontryagin's maximum principle is proposed, and numerical experiments validate this approach
Sharp, Jesse A. "Numerical methods for optimal control and parameter estimation in the life sciences". Thesis, Queensland University of Technology, 2022. https://eprints.qut.edu.au/230762/1/Jesse_Sharp_Thesis.pdf.
Pełny tekst źródłaLapert, Marc. "Développement de nouvelles techniques de contrôle optimal en dynamique quantique : de la Résonance Magnétique Nucléaire à la physique moléculaire". Phd thesis, Université de Bourgogne, 2011. http://tel.archives-ouvertes.fr/tel-00728830.
Pełny tekst źródłaVillanueva, Fabiola Roxana. "Contributions in interval optimization and interval optimal control /". São José do Rio Preto, 2020. http://hdl.handle.net/11449/192795.
Pełny tekst źródłaResumo: Neste trabalho, primeiramente, serão apresentados problemas de otimização nos quais a função objetivo é de múltiplas variáveis e de valor intervalar e as restrições de desigualdade são dadas por funcionais clássicos, isto é, de valor real. Serão dadas as condições de otimalidade usando a E−diferenciabilidade e, depois, a gH−diferenciabilidade total das funções com valor intervalar de várias variáveis. As condições necessárias de otimalidade usando a gH−diferenciabilidade total são do tipo KKT e as suficientes são do tipo de convexidade generalizada. Em seguida, serão estabelecidos problemas de controle ótimo nos quais a funçãao objetivo também é com valor intervalar de múltiplas variáveis e as restrições estão na forma de desigualdades e igualdades clássicas. Serão fornecidas as condições de otimalidade usando o conceito de Lipschitz para funções intervalares de várias variáveis e, logo, a gH−diferenciabilidade total das funções com valor intervalar de várias variáveis. As condições necessárias de otimalidade, usando a gH−diferenciabilidade total, estão na forma do célebre Princípio do Máximo de Pontryagin, mas desta vez na versão intervalar.
Abstract: In this work, firstly, it will be presented optimization problems in which the objective function is interval−valued of multiple variables and the inequality constraints are given by classical functionals, that is, real−valued ones. It will be given the optimality conditions using the E−differentiability and then the total gH−differentiability of interval−valued functions of several variables. The necessary optimality conditions using the total gH−differentiability are of KKT−type and the sufficient ones are of generalized convexity type. Next, it will be established optimal control problems in which the objective function is also interval−valued of multiple variables and the constraints are in the form of classical inequalities and equalities. It will be furnished the optimality conditions using the Lipschitz concept for interval−valued functions of several variables and then the total gH−differentiability of interval−valued functions of several variables. The necessary optimality conditions using the total gH−differentiability is in the form of the celebrated local Pontryagin Maximum Principle, but this time in the intervalar version.
Doutor
Oda, Eduardo. "Fenômeno Fuller em problemas de controle ótimo: trajetórias em tempo mínino de veículos autônomos subaquáticos". Universidade de São Paulo, 2008. http://www.teses.usp.br/teses/disponiveis/45/45132/tde-05052009-111117/.
Pełny tekst źródłaThe equations of the two-dimensional model for autonomous underwater vehicles provide an example of a nonlinear control system which illustrates properties of optimal control theory. We present, systematically, how the concepts of the Hamiltonian formalism and the Lie theory naturally appear in this context. For this purpose, we briefly study the Pontryagin\'s Maximum Principle and discuss features of affine systems. We treat carefully the Fuller Phenomenon, providing criteria to detect its presence at junctions with an algebraic notation. We present a numerical approach to treat optimal control problems and we conclude with an application of the results in the bidimesional model of autonomous underwater vehicle.
MAZZOLA, MARCO. "Properties of solutions to variational problems". Doctoral thesis, Università degli Studi di Milano-Bicocca, 2010. http://hdl.handle.net/10281/18339.
Pełny tekst źródłaBayen, Térence. "Etude de quelques problèmes de contrôle optimal issus des EDP et des EDO". Habilitation à diriger des recherches, Université Montpellier II - Sciences et Techniques du Languedoc, 2013. http://tel.archives-ouvertes.fr/tel-00919030.
Pełny tekst źródłaLapert, M. "Développement de nouvelles techniques de contrôle optimal en dynamique quantique : de la Résonance Magnétique Nucléaire à la physique moléculaire". Phd thesis, Université de Bourgogne, 2011. http://tel.archives-ouvertes.fr/tel-00639508.
Pełny tekst źródłaChessé, Stéphane. "Dynamique optimale de systèmes articulés à cinématique fermée : application à la synthèse d'allures de marche optimales". Phd thesis, Université de Poitiers, 2002. http://tel.archives-ouvertes.fr/tel-00001867.
Pełny tekst źródłaShang, Peipei. "Analyse mathématique et contrôle optimal de lois de conservation multi-échelles : application à des populations cellulaires structurées". Phd thesis, Université Pierre et Marie Curie - Paris VI, 2012. http://tel.archives-ouvertes.fr/tel-00847756.
Pełny tekst źródłaRojas, Quintero Juan Antonio. "Contribution à la manipulation dextre dynamique pour les aspects conceptuels et de commande en ligne optimale". Thesis, Poitiers, 2013. http://www.theses.fr/2013POIT2284/document.
Pełny tekst źródłaWe focus on the design of anthropomorphous mechanical hands destined to manipulate objects in a human environment. Via the motion analysis of a reference manipulation task performed by human subjects, we propose a method to evaluate a robotic hand manipulation capacities. We demonstrate how the angular coupling between the fingers joints and the angular limits affect the hands potential to manipulate objects. We also show the influence of the wrist motions on the manipulation task. We propose a strategy to calculate the fingertip manipulation forces and dimension the fingers motors. In a second part devoted to articulated robots, we elaborate optimal control algorithms. Regarding the kinetic energy of the robot as a metric, the dynamic model is formulated tensorially in the framework of Riemannian geometry. The time discretization is based on the Hermite Finite Elements.A time integration algorithm is designed by implementing a perturbation method of the Lagrange's motion equations. Simulation examples illustrate the superconvergence of the Hermite's technique. The control criterion is selected to be coordinate free. The control equations associated with the motion equations reveal to be covariant. The suggested control method consists in minimizing the objective function corresponding to the selected invariant criterion
Bouhelal, Mediouny. "Principe du maximum avec sauts". Grenoble 2 : ANRT, 1987. http://catalogue.bnf.fr/ark:/12148/cb37603251j.
Pełny tekst źródłaKovaltchouk, Thibaut. "Contributions à la co-optimisation contrôle-dimensionnement sur cycle de vie sous contrainte réseau des houlogénérateurs directs". Thesis, Cachan, Ecole normale supérieure, 2015. http://www.theses.fr/2015DENS0033/document.
Pełny tekst źródłaThe work of this PhD thesis deals with the minimization of the per-kWh cost of direct-drive wave energy converter, crucial to the economic feasibility of this technology. Despite the simplicity of such a chain (that should provide a better reliability compared to indirect chain), the conversion principle uses an oscillating system (a heaving buoy for example) that induces significant power fluctuations on the production. Without precautions, such fluctuations can lead to: a low global efficiency, an accelerated aging of the fragile electrical components and a failure to respect power quality constraints. To solve these issues, we firstly study the optimization of the direct drive wave energy converter control in order to increase the global energy efficiency (from wave to grid), considering conversion losses and the limit s from the sizing of an electrical chain (maximum force and power). The results point out the effect of the prediction horizon or the mechanical energy into the objective function. Production profiles allow the study of the flicker constraint (due to grid voltage fluctuations) linked notably to the grid characteristics at the connection point. Other models have also been developed to quantify the aging of the most fragile and highly stressed components, namely the energy storage system used for power smoothing (with super capacitors or electrochemical batteries Li-ion) and power semiconductors.Finally, these aging models are used to optimize key design parameters using life-cycle analysis. Moreover, the sizing of the storage system is co-optimized with the smoothing management
Lohéac, Jérôme. "Contrôle en temps optimal et nage à bas nombre de Reynolds". Phd thesis, Université de Lorraine, 2012. http://tel.archives-ouvertes.fr/tel-00801240.
Pełny tekst źródłaVenditti, Véronique. "Aspects du principe de maximum d'entropie en modélisation statistique". Université Joseph Fourier (Grenoble), 1998. http://www.theses.fr/1998GRE10108.
Pełny tekst źródłaBerkessa, Zewude Alemayehu. "Problém energeticky optimální jízdy vlaku". Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2019. http://www.nusl.cz/ntk/nusl-401555.
Pełny tekst źródłaLécureux, Marie-Hélène. "Au delà du principe du maximum pour des systèmes d'opérateurs elliptiques". Phd thesis, Université des Sciences Sociales - Toulouse I, 2008. http://tel.archives-ouvertes.fr/tel-00594884.
Pełny tekst źródłaMichel, Julien. "Un principe de maximum d'entropie pour les mesures de Young : applications". Lyon 1, 1993. http://www.theses.fr/1993LYO10225.
Pełny tekst źródłaRanwez, Vincent. "Méthodes efficaces pour reconstruire de grandes phylogénies suivant le principe du maximum de vraisemblance". Phd thesis, Université Montpellier II - Sciences et Techniques du Languedoc, 2002. http://tel.archives-ouvertes.fr/tel-00843175.
Pełny tekst źródłaBerrabah, Abdelhak. "Observateurs et Principe du Maximum "Approché" des Systèmes Bilinéaires en Dimension Infinie sous contrôles à paramètres distribués". Chambéry, 2004. http://www.theses.fr/2004CHAMS002.
Pełny tekst źródłaThere are two parts in this thesis : 1st part : Given a bilinear infinite-dimensional system, under control in infinite dimension, we build a simple observer for this process under a Hilbert-Schmidt's and dissipation condition. In this part, we prove a approximate principle of maximum in infinite dimension for bilinear systems. Furthermore if the control is finite dimensional, or if the operators which give the control dynamic are compacts, we prove that we have again an exact PMP
Ghasemi, Dehkordi Sepehr. "Towards an optimal model for green and safe driving". Thesis, Queensland University of Technology, 2019. https://eprints.qut.edu.au/131162/1/Sepehr_Ghasemi%20Dehkordi_Thesis.pdf.
Pełny tekst źródłaHelbing, Maximilian. "Energiemanagement für eine parallele Hybridfahrzeugarchitektur". Master's thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2015. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-157748.
Pełny tekst źródłaBy integrating at least one additional energy converter into the drive train, parallel hybrid vehicles gain an additional degree of freedom compared to conventional vehicles. In addition to the design and efficiency of the individual drive train components, especially the use of this additional degree of freedom is the key responsible to achieve the desired goals in the operation of a hybrid vehicle, such as minimizing fuel consumption and exhaust emissions. Responsible for this are so-called supervisory strategies. In a first step, the present thesis provides an overview of current supervisory control strategies for vehicles with a parallel hybrid architecture and compares selected approaches. In a second step, a promising Equivalent Consumption Minimization Strategy (ECMS) is chosen and implemented in a MATLAB/Simulink-longitudinal dynamics model. This approach relates on the determination of the equivalence factor which is carried out without the use of prediction data. A comparison of the fuel consumption, obtained for a rule-based supervisory strategy, shows the advantages of the implemented ECMS approach. To consider the different states of charge at the end of the trip, a charge-dependent fuel correction will be presented
Uebel, Stephan, i Bernard Bäker. "Optimal Velocity and Power Split Control of Hybrid Electric Vehicles". Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2017. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-219665.
Pełny tekst źródłaNgo, Thoi-Nhan. "Contrôle optimal en temps discret et en horizon infini". Thesis, Paris 1, 2016. http://www.theses.fr/2016PA01E062/document.
Pełny tekst źródłaThis thesis contains original contributions to the optimal control theory in the discrete-time framework and in infinite horizon following the viewpoint of Pontryagin. There are 5 chapters in this thesis. In Chapter 1, we recall preliminary results on sequence spaces and on differential calculus in normed linear space. In Chapter 2, we study a single-objective optimal control problem in discrete-time framework and in infinite horizon with an asymptotic constraint and with autonomous system. We use an approach of functional analytic for this problem after translating it into the form of an optimization problem in Banach (sequence) spaces. Then a weak Pontyagin principle is established for this problem by using a classical multiplier rule in Banach spaces. In Chapter 3, we establish a strong Pontryagin principle for the problems considered in Chapter 2 using a result of Ioffe and Tihomirov. Chapter 4 is devoted to the problems of Optimal Control, in discrete time framework and in infinite horizon, which are more general with several different criteria. The used method is the reduction to finite-horizon initiated by J. Blot and H. Chebbi in 2000. The considered problems are governed by difference equations or difference inequations. A new weak Pontryagin principle is established using a recent result of J. Blot on the Fritz John multipliers. Chapter 5 deals with the multicriteria optimal control problems in discrete time framework and infinite horizon. New weak and strong Pontryagin principles are established, again using recent optimization results, under lighter assumptions than existing ones
Maamria, Djamaleddine. "Méthodes d’optimisation dynamique de systèmes à plusieurs états pour l'efficacité énergétique automobile". Thesis, Paris, ENMP, 2015. http://www.theses.fr/2015ENMP0024/document.
Pełny tekst źródłaEnergy management system (EMS) for hybrid vehicles consists on determining the power split between the different energy sources in order to minimize the overall fuel consumption and/or pollutant emissions of the vehicle. The objective of this thesis is to develop an EMS taking into account the internal temperatures (engine temperature and/or catalyst temperature). In a first part and using a prior knowledge of vehicle driving cycle, the EMS design is formulated as an optimal control problem. Then, the PMP is used to solve this optimization problem. Based on the obtained numerical results, some trade-off between performance of the control strategy and complexity of the model used to calculate this strategy is established. The various problems studied in this thesis are examples of successive model simplifications which can be recast in the concept of regular perturbations in optimal control under input constraints discussed here. In a second part, the feedback law of ECMS is generalized to include thermal dynamics. This defines sub-optimal feedback strategies which we have tested numerically and experimentally
Fournier, Frantz. "Méthodologie d'optimisation dynamique et de commande optimale des réacteurs électrochimiques discontinus". Vandoeuvre-les-Nancy, INPL, 1998. http://docnum.univ-lorraine.fr/public/INPL_T_1998_FOURNIER_F.pdf.
Pełny tekst źródłaDaulton, Donna Lynn. "Using Optimal Control Theory to Optimize the Use of Oxygen Therapy in Chronic Wound Healing". TopSCHOLAR®, 2013. http://digitalcommons.wku.edu/theses/1232.
Pełny tekst źródłaCao, Zhansheng. "Comportement d'un échantillon sous conditionnement extrême, maximum de vraisemblance sous échantillonnage pondéré". Phd thesis, Université Pierre et Marie Curie - Paris VI, 2012. http://tel.archives-ouvertes.fr/tel-00802459.
Pełny tekst źródłaBenmlih, Khalid. "Étude qualitative de certains problèmes semi-linéaires elliptiques". Nancy 1, 1994. http://www.theses.fr/1994NAN10075.
Pełny tekst źródłaGbenga, Abiodun J. "Mathematical modeling and analysis of HIV/AIDS control measures". Thesis, University of the Western Cape, 2012. http://hdl.handle.net/11394/4016.
Pełny tekst źródłaIn this thesis, we investigate the HIV/AIDS epidemic in a population which experiences a significant flow of immigrants. We derive and analyse a math- ematical model that describes the dynamics of HIV infection among the im- migrant youths and intervention that can minimize or prevent the spread of the disease in the population. In particular, we are interested in the effects of public-health education and of parental care.We consider existing models of public-health education in HIV/AIDS epidemi-ology, and provide some new insights on these. In this regard we focus atten-tion on the papers [b] and [c], expanding those researches by adding sensitivity analysis and optimal control problems with their solutions.Our main emphasis will be on the effect of parental care on HIV/AIDS epidemi-ology. In this regard we introduce a new model. Firstly, we analyse the model without parental care and investigate its stability and sensitivity behaviour.We conduct both qualitative and quantitative analyses. It is observed that in the absence of infected youths, disease-free equilibrium is achievable and is asymptotically stable. Further, we use optimal control methods to determine the necessary conditions for the optimality of intervention, and for disease eradication or control. Using Pontryagin’s Maximum Principle to check the effects of screening control and parental care on the spread of HIV/AIDS, we observe that parental care is more effective than screening control. However, the most efficient control strategy is in fact a combination of parental care and screening control. The results form the central theme of this thesis, and are included in the manuscript [a] which is now being reviewed for publication. Finally, numerical simulations are performed to illustrate the analytical results.
Bosch, Pérez Paul Jesús. "Sensibilité et dualité en optimisation et contrôle optimal avec incertitude". Dijon, 2003. http://www.theses.fr/2003DIJOS004.
Pełny tekst źródłaNadin, Grégoire. "Equations de réaction-diffusion et propagation en milieu hétérogène". Paris 6, 2008. http://www.theses.fr/2008PA066491.
Pełny tekst źródłaDebert, Maxime. "Stratégies optimales multi-critères, prédictives, temps réel de gestion des flux d'énergie thermique et électrique dans un véhicule hybride". Phd thesis, Université d'Orléans, 2011. http://tel.archives-ouvertes.fr/tel-00867007.
Pełny tekst źródłaWeber, Martin. "Optimal inventory control in the presence of dynamic pricing and dynamic advertising". Doctoral thesis, Humboldt-Universität zu Berlin, 2015. http://dx.doi.org/10.18452/17339.
Pełny tekst źródłaThis dissertation analyzes the optimal coordination of dynamic pricing, dynamic advertising, and inventory management. We consider different optimization problems for a monopolistic retailer who faces a time-dependent deterministic demand. In Chapter 2, we generalize the model of Rajan et al. (1992). The retailer is allowed to choose a dynamic price, a dynamic advertising rate, and the inventory capacity for a sales period of fixed length so that the present value of revenue minus inventory, purchasing and (nonlinear) advertising costs is maximized; in addition, the inventory deteriorates at an exponential rate. We derive the optimal dynamic price-advertising control and the optimal capacity and also consider partially static cases. For the optimally controlled dynamic model we carry out a sensitivity analysis with respect to the model parameters and we compare the results of the dynamic model with those of the partially static models. In Chapter 3, we interpret the sales process as the controlled adoption process of a new product and the inventory capacity as untapped market share. The initial state is assumed to be exogenously given and the demand depends on the current state of the system. We exclude, however, deterioration effects and any other costs but the cost of advertising. We derive the optimal controls using a different technique than Helmes et al. (2013) - we apply Pontryagin’s maximum principle. As an interesting application we consider the controlled von Bertalanffy model. In Chapter 4, we extend the analysis of one-period models to multi-period and longterm average models. Assuming that the optimal controls derived in Chapter 2 and Chapter 3 are applied throughout a cycle, we treat the cycle length and the capacity as decision variables. We derive conditions that ensure the existence of an optimal pair of cycle length and capacity. Various examples and illustrations are given, and structural properties of the optimal pair are verified.
Martinon, Pierre. "Resolution numerique de problemes de controle optimal par une methode homotopique simpliciale". Phd thesis, Institut National Polytechnique de Toulouse - INPT, 2005. http://tel.archives-ouvertes.fr/tel-00011416.
Pełny tekst źródłaCoville, Jérôme. "Equations de réaction-diffusion non-locale". Paris 6, 2003. https://tel.archives-ouvertes.fr/tel-00004313.
Pełny tekst źródłaDjeridane, Badis. "Sur la commandabilité des systèmes non linéaires à temps discret". Phd thesis, Université Paul Sabatier - Toulouse III, 2004. http://tel.archives-ouvertes.fr/tel-00009518.
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