Une contribution à l'observation et à l'estimation des systèmes linéaires

Abstract : This PhD thesis is dedicated to the synthesis of the state estimation in a finite time by an algebraic approach (the techniques developed within the ALIEN group) for the linear time-invariant systems (LTI) subject to the external unknown disturbances, the linear time-varying systems (LTV) and the switched linear systems (SLC) in continuous time. For the LTI and LTV systems, a formal expression of state as a function of iterated integrals of the output and the input is obtained. For switched linear systems, combining the results of state estimation for LTI systems and switch instant detection presented in Chapter 4, we give the main approach of current mode estimation and the continuous state estimation in real time. To do this, one applies some mathematical tools: Laplace transforms, the operational calculus and the theory of distribution
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Engineering Sciences [physics]. Ecole Centrale de Lille, 2010. French. <NNT : 2010ECLI0025>


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Yang Tian. Une contribution à l'observation et à l'estimation des systèmes linéaires. Engineering Sciences [physics]. Ecole Centrale de Lille, 2010. French. <NNT : 2010ECLI0025>. <tel-00590376>

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