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About the observability of piecewise dynamical system

Driss Boutat 1 Abderraouf Benali 1 Jean-Pierre Barbot 2, 3 
3 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
Abstract : In this paper, we give some sufficient geometrical conditions to analyse the observability of a class of hybrid systems: piecewise-smooth dynamical systems. For the subclass of piecewise linear systems, the analysis of the observability is refined. Indeed, thanks to the algebraic structure of this subclass, we improve one of these sufficient conditions by using the rank of a matrix associated to a piecewise linear system. This matrix takes into account all the observability matrices of the subsystems as well as the switch linear function. Throughout this paper we give examples to highlight our method.
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Submitted on : Wednesday, July 30, 2014 - 12:28:04 AM
Last modification on : Tuesday, November 22, 2022 - 2:26:15 PM


  • HAL Id : hal-01053205, version 1


Driss Boutat, Abderraouf Benali, Jean-Pierre Barbot. About the observability of piecewise dynamical system. IFAC Symposium on non linear control systems, NOLCOS'2004,, Sep 2004, STUTTGART, Germany. ⟨hal-01053205⟩



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