Synthèse d’observateurs intervalles à entrées inconnues pour les systèmes linéaires à paramètres variants

Abstract : This thesis addresses the design of a class of estimator, named interval obser-ver, which evaluates in a guaranteed way, a set for the state of the system at each instant of time. The proposed approach is based on a priori knowledge of bounded sets for the system uncertainties (modeling uncertainties, disturbances, noise, etc.). A methodology to design an interval observer is proposed for the class of Linear Parameter Varying (LPV) Systems. The feasibility of the latter is based on the resolution of linear Matrix Inequalities (LMI) constraints allowing to simultaneously get the existence conditions of the intervalobserver and a certain level of a priori given performance for the state estimation of the system. Specifically, the performance of the estimates is based on a decoupling technique to avoid the effects of unknown inputs and an optimization technique to minimize, in the L2 and/or L∞ gain sense, the effects of disturbances on the estimated interval length for the state of the LPV system. The design methodology is illustrated on academic examples.Finally, the methodology is applied on the landing phase of the HL20 shuttle.
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Nicolas Ellero. Synthèse d’observateurs intervalles à entrées inconnues pour les systèmes linéaires à paramètres variants. Automatique / Robotique. Université de Bordeaux, 2018. Français. ⟨NNT : 2018BORD0106⟩. ⟨tel-01898944⟩

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