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Observateurs grand gain pour des systèmes non linéaires à sorties échantillonnées et retardées

Abstract : This manuscript deals with the synthesis of high gain observers for nonlinear systems with sampled and delayed outputs. Three contributions are proposed for consideration in this manuscript. The first contribution, for a class of Multi-input / Multi-output systems whose outputs are grouped into a single block, involves the problem of the acquisition process of output measurements (continuous, sampled, delayed or not) and proposes a common framework for all possible cases. The second contribution proposes a filtered high gain observer on this same class of systems in order to reduce the sensitivity to measurement noise, in the case where the output is continuous and then in the case where the latter is sampled. The last contribution aims to extend the standard high gain synthesis for a large class of uniformly observable Multi-input / Multi-output systems with continuous output measurements. For each of these contributions, it has been shown that the observation error of each of the proposed observers converges exponentially towards zero in the absence of uncertainties in the system. All these contributions have been illustrated through several examples from different fields of study.
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Clement Treangle. Observateurs grand gain pour des systèmes non linéaires à sorties échantillonnées et retardées. Automatique / Robotique. Normandie Université, 2018. Français. ⟨NNT : 2018NORMC251⟩. ⟨tel-02064287⟩

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