Rozprawy doktorskie na temat „Stabilité Input-To-State”
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Kafnemer, Meryem. "Stabilisation des équations des ondes". Electronic Thesis or Diss., Institut polytechnique de Paris, 2022. https://theses.hal.science/tel-04438021.
Pełny tekst źródłaThis thesis focuses on three problems in the context of the stabilization of wave equations. We consider different frameworks and we use techniques based on the multipliers method. First, we study the stability of the wave equation with non-linear localized damping in a standard Hilbertian framework in two dimensions. The proof is based on the work already existing in the case of a non-localized damping. We add a localization as well as disturbances. We prove the exponential stability of strong solutions in the absence of disturbances and also a weak Input-To-State stability property with respect to the considered disturbances. We next consider a more general functional framework, namely an L^p framework with p in (1,infty). We study the L^p stability of the wave equation with a linear and localized damping in one dimension since it is not always possible to define the wave operator in higher dimensions when p = 2. We prove the exponential stability of the problem by generalizing the multipliers of the Hilbertian framework in this new general framework, with a different proof for 1 2. We also prove in the same problem but with particular cases of a global constant damping, an exponential stability in the case p=1 and p=infty. We consider next the nonlinear case of the previous problem: relying on a linearizing technique, we reduce that study to that of the linear problem case in order to prove the exponential stability of the non-linear problem
Bribiesca, argomedo Fédérico. "Contrôle et stabilité Entrée-Etat en dimension infinie du profil du facteur de sécurité dans un plasma Tokamak Infinite dimensional control and Input-to-State stability of the safety factor profile in a Tokamak plasma". Phd thesis, Université de Grenoble, 2012. http://tel.archives-ouvertes.fr/tel-00920942.
Pełny tekst źródłaGonzalez, de Cossio Francisco. "Synthèse d’observateur robuste pour les systèmes non linéaires". Thesis, Lyon, 2019. http://www.theses.fr/2019LYSE1273.
Pełny tekst źródłaEstimating the state of a nonlinear system is an essential task for achieving important objectives such as: process monitoring, identification and control. Observers are algorithms that estimate the current state by using, among other information, sensor measurements. The problem of observer design for nonlinear systems has been a major research topic in control for many decades. Recently, there has been an increasing interest in the design of observers for more realistic models, which can include disturbances, sensor nonlinearities and discrete outputs. This thesis concerns the design of robust observers for selected classes of nonlinear systems and we can distinguish three main parts. The first part studies state-affine systems affected by noise, and analyses the state estimation via the so-called high-gain Kalman filter. The convergence properties of this observer are strongly influenced by two variables: its tuning parameter and the properly excited system input. We present a new optimization algorithm, based on Lyapunov analyses, that adapts these variables in order to minimize the effect of both dynamic and output disturbances. The novelty of this approach is that it provides a systematic method of simultaneous tuning and input selection with the goal of improving state estimation in the face of disturbances, and that it avoids the use of trial-and-error based methods. The second part studies the problem of observer redesign for general nonlinear systems whose outputs are transformed by nonlinear functions. Indeed, a given observer might not estimate the system state properly if it does not take into account sensor nonlinearities and, therefore, such an output mismatch needs to be addressed. We present an observer redesign that consists in the interconnection of the original observer with an output estimator based on a dynamic inversion, and we show its asymptotic convergence via small-gain arguments. We illustrate our method with two important classes of systems: state-affine systems up to output injection and systems with additive triangular nonlinearity. Finally, the third part extends our redesign method to systems whose outputs are not only transformed but also discretized in time. This added assumption introduces important challenges; we now implement sample-and-hold techniques leading to an observer gain based on linear matrix inequalities. The main feature of our redesign methods is the possibility to adapt a large number of observers from the literature to more realistic scenarios. Indeed, classical sensors in engineering applications are often nonlinear or discrete, whereas a recurrent assumption in observer design is the linearity or continuity of the output
Forni, Paolo. "The input-to-state stability framework for multistable systems on manifolds". Thesis, Imperial College London, 2017. http://hdl.handle.net/10044/1/59034.
Pełny tekst źródłaBertrand, Loïc. "Hot rolling friction control through lubrication". Thesis, Université de Lorraine, 2017. http://www.theses.fr/2017LORR0146.
Pełny tekst źródłaThis thesis is about the improvement of the hot rolling process. This steelmaking process turns a slab (10m long, 1.5m wide, 250mm thick) into a coiled strip (1000m long, 1m wide, 2mm thick). To obtain some metallurgical properties and to make the rolling easier, the slab is heated up to 1300 ° C and roughly rolled before going to the finishing mill. In the finishing mill the strip is rolled through successive stands (set of rolls) to reduce the thickness to its final desired value. The product is finally cooled down and coiled before shipping it to the customers. The thesis focuses on the enhancement of the finishing mill through a friction control between the strip and the work rolls using lubrication. The lubrication consists in building up oil on the rolls by spraying an emulsion of water and oil. The deposited oil changes the contact interface between the strip and the roll and decreases the friction coefficient. The reduction of the friction presents the advantages of: reduce the roll wear, enhance the strip surface quality, decrease the rolling force (reduce then the energy consumption) and increase the mill capability. In the other hand, an insufficient amount of friction due to an overabundance of lubrication can induce a slippage of the strip leading to a stop of the mill. It is important to control the amount of friction in a secure way. The design of the controller was done through two main steps: Modeling and identification of the effect of lubrication on the friction coefficient, designing the friction control
Nabiullin, Robert [Verfasser]. "Input-to-state stability and stabilizability of infinite-dimensional linear systems / Robert Nabiullin". Wuppertal : Universitätsbibliothek Wuppertal, 2018. http://d-nb.info/1169070892/34.
Pełny tekst źródłaBill, Adam. "Nonnegative feedback systems in population ecology". Thesis, University of Bath, 2016. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.698987.
Pełny tekst źródłaMironchenko, Andrii [Verfasser], Sergey [Akademischer Betreuer] Dashkovskiy i Fabian [Akademischer Betreuer] Wirth. "Input-to-state stability of infinite-dimensional control systems / Andrii Mironchenko. Gutachter: Sergey Dashkovskiy ; Fabian Wirth. Betreuer: Sergey Dashkovskiy". Bremen : Staats- und Universitätsbibliothek Bremen, 2012. http://d-nb.info/1071993623/34.
Pełny tekst źródłaCarnevale, Guido. "Control-based Design and Analysis of Gradient-Tracking Algorithms for Distributed Quadratic Optimization". Master's thesis, Alma Mater Studiorum - Università di Bologna, 2019.
Znajdź pełny tekst źródłaMannava, Anusha. "Adaptive Control of Nonminimum Phase Aerospace Vehicles- A Case Study on Air-Breathing Hypersonic Vehicle Model". The Ohio State University, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=osu1503265018577074.
Pełny tekst źródłaKennedy, Justin M. "Wave-induced marine craft motion estimation and control". Thesis, Queensland University of Technology, 2021. https://eprints.qut.edu.au/213481/1/Justin_Kennedy_Thesis.pdf.
Pełny tekst źródłaLiu, Tengfei. "Input-to-state stability methods for nonlinear and network systems". Phd thesis, 2011. http://hdl.handle.net/1885/150296.
Pełny tekst źródłaTran, Duc Ngoc Anh. "Advances in stability analysis for nonlinear discrete-time dynamical systems". Thesis, 2019. http://hdl.handle.net/1959.13/1405159.
Pełny tekst źródłaThis thesis investigates stability analysis of discrete-time nonlinear dynamical systems. Stability, which plays a central role in nonlinear control system theory, has been studied extensively resulting in different frameworks such as l2-gain stability, Input-to-State stability (ISS), convergent dynamics, and contraction analysis. All of these frameworks were derived differently, were motivated distinctly, and employ different mathematical toolsets. As a consequence, their mutual relationships are, in general, not fully understood. For instance, the relationships between contraction analysis, incremental stability, and convergent dynamics are not clear although they all characterize asymptotically convergent behaviours between solutions of dynamical systems. Therefore, this thesis aims at three goals. First, we systematically review and propose stability and convergence properties for discrete-time systems that have been unavailable in the literature. Second, we thoroughly study qualitative relationships between important discrete-time stability and convergence notions. Third, we also present computational methods for certain bounds used in stability properties. We begin by reviewing stability properties for systems without inputs. We then study and propose Lyapunov function characterizations for so-called convergence properties: incremental stability, convergent dynamics, and contraction analysis. Subsequently, we demonstrate that convergent dynamics and incremental stability are two distinct properties. However, contraction analysis, which is distinctly different from convergent dynamics, is equivalent to a subset of incremental stability. For nonlinear systems with inputs, we begin by reviewing the classical ISS and input-output lp-gain stability properties and subsequently investigate two extensions of ISS: incremental ISS and ISS with respect to two measurement functions. We then examine relationships between ISS-based and lp-based properties. In particular, we demonstrate that, via nonlinear changes of coordinates, ISS and integral ISS are qualitatively equivalent to linear and nonlinear lp-gain properties, respectively. Illustrative examples with constructed changes of coordinates are provided to support the qualitative equivalence findings. Finally, we demonstrate two dynamic programming-based computational techniques including an extended real-valued terminal cost and a nonlinear "energy saturation" filter to estimate tight gain and transient bounds for the nonlinear l2-gain properties. Numerical examples are provided to showcase the application of the proposed computational methods.
Vu, Linh Hoang. "Invertibility and input-to-state stability of switched systems and applications in adaptive control /". 2007. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3301242.
Pełny tekst źródłaSource: Dissertation Abstracts International, Volume: 69-02, Section: B, page: 1230. Adviser: Daniel Liberzon. Includes bibliographical references (leaves 174-179) Available on microfilm from Pro Quest Information and Learning.
Liu, Jun. "Qualitative Studies of Nonlinear Hybrid Systems". Thesis, 2010. http://hdl.handle.net/10012/5658.
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