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Real-time estimation of the switching signal for perturbed switched linear systems

Michel Fliess 1 Cédric Join 2 Wilfrid Perruquetti 3, 4 
3 ALIEN - Algebra for Digital Identification and Estimation
Inria Lille - Nord Europe, Inria Saclay - Ile de France, Centrale Lille, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR8146
4 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
Abstract : We extend previous works of Fliess et al. [2008] on the estimation of the switching signal and of the state for switching linear systems to the perturbed case when the perturbation is structured that is when the perturbation is unknown but known to satisfy a certain differential equation (for example if the perturbation is constant then its time-derivative is zero). We characterize also singular inputs and/or perturbations for which the switched systems become undistinguishable. Several convincing numerical experiments are illustrating our techniques which are easily implementable.
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Contributor : Wilfrid Perruquetti Connect in order to contact the contributor
Submitted on : Monday, November 16, 2009 - 10:59:06 AM
Last modification on : Wednesday, March 23, 2022 - 3:51:21 PM
Long-term archiving on: : Thursday, June 17, 2010 - 7:50:36 PM


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  • HAL Id : inria-00430630, version 1


Michel Fliess, Cédric Join, Wilfrid Perruquetti. Real-time estimation of the switching signal for perturbed switched linear systems. 3rd IFAC Conference on Analysis and Design of Hybrid Systems, ADHS'09, Sep 2009, Zaragoza, Spain. pp.CDROM. ⟨inria-00430630⟩



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