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[ZVR19] On interval observer design for continuous-time LPV switched systems

Revue Internationale avec comité de lecture : Journal Acta Cybernetica, pp. ..., 2019

Mots clés: Interval observer, Continuous-time LPV switched systems, Polytopic parameter dependence, Lyapunov theory

Résumé: State estimation for switched systems with time-varying parameters has received a great attention during the past decades. In this paper, a new approach to design an interval observer for this class of systems is proposed. The scheduling vector is described by a convex combination so that the parametric uncertainties belong into polytopes. The considered system is also subject to measurement noise and state disturbances which are supposed to be unknown but bounded. The proposed method guarantees both cooperativity and Input to State Stability (ISS) of the upper and lower observation errors. Sufficient conditions are given in terms of Linear Matrix Inequalities (LMIs) using a common quadratic Lyapunov function. Finally, a numerical example is provided to show the effectiveness of the designed observer.

BibTeX

@article {
ZVR19,
title="{On interval observer design for continuous-time LPV switched systems}",
author="C. Zammali and J. Van Gorp and T. Raïssi",
journal="Acta Cybernetica",
year=2019,
pages="...",
}