Observation et commande d'une classe de systèmes non linéaires temps discret

Abstract : The analysis and synthesis of dynamic systems has undergone significant development in recent decades, as illustrated by the considerable number of published works in this field, and continue to be a research theme regularly explored. While most of the existing work concerns linear and nonlinear continuous-time systems, few results have been established in the discrete-time case. This thesis deals with the observation and control of a class of nonlinear discrete-time systems. First, the problem of state observer synthesis using a sliding window of measurements is discussed. Non-restrictive stability and robustness conditions are deduced. Two classes of discrete time nonlinear systems are studied: Lipschitz systems and one-side Lipschitz systems. Then, a dual approach was explored to derive a stabilizing control law based on observer-based state feedback. The conditions for the existence of an observer and a controller stabilizing the studied classes of nonlinear systems are expressed in term of LMI. The effectiveness and validity of the proposed approaches are shown through numerical examples
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Noussaiba Gasmi. Observation et commande d'une classe de systèmes non linéaires temps discret. Automatique / Robotique. Université de Lorraine; Université de Gabès (Tunisie), 2018. Français. ⟨NNT : 2018LORR0177⟩. ⟨tel-01979969⟩

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