Derivative Based Control For LTV System With Unknown Parameters

Sonia Maalej 1 Alexandre Kruszewki 2 Lotfi Belkoura 2, 1
1 NON-A - Non-Asymptotic estimation for online systems
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189, Inria Lille - Nord Europe
2 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : This paper deals with the robust stabilization of a class of linear time varying systems. Instead of using a state observer or having dynamic structure, the controller is based on output derivative estimation. This allows the stabilization of linear time varying systems with very large parameter variation and a small number of controller parameters. The proof of stability is based on the polytopic representation of the closed loop and Lyapunov conditions. The result is proposed in a Linear Matrix Inequality (LMI) form. The validity of this approach is illustrated by a second order system case of study.
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Sonia Maalej, Alexandre Kruszewki, Lotfi Belkoura. Derivative Based Control For LTV System With Unknown Parameters. European Control Conference , Jul 2013, Zurich, Switzerland. ⟨hal-01248967⟩

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