Synthèse de lois de commande pour les systèmes à commutation avec contraintes de performances

Abstract : Switched systems are a specific case of dynamical hybrid systems. They are made up of a family of subsystems and of a switching law which defines the activated subsystem at each instant. These systems depict a wide range of real systems. Stability's study has been intensely studied. This Ph.D. thesis deals with performance analysis for discrete-time switched linear systems and synthesis of different control laws by taking into account performance constraints. Stability's analysis for these systems was spread in order to taking into account performance aspect, modeled by a quadratic criterion. As the value of the criterion depends on commutations, the analysis is done for the guaranteed cost of performances. By solving an optimization problem under constraints in the form of linear matrices inequalities, an upper bound of the guaranteed cost is found. An approach is proposed to certificate the upper bound. An other tackled point is the synthesis of controllers which take into account performance aspect. Methods of synthesis of different controllers (state feedback, state feedback based on observer and dynamic output feedback) are proposed. Last, our results are applied to networked controlled systems
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Julie Mélin. Synthèse de lois de commande pour les systèmes à commutation avec contraintes de performances. Autre [cs.OH]. Institut National Polytechnique de Lorraine, 2011. Français. ⟨NNT : 2011INPL030N⟩. ⟨tel-01749519⟩

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