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Stabilization of switched linear systems: a sliding mode approach

Thierry Floquet 1, 2 Laurentiu Hetel 3 Wilfrid Perruquetti 3, 4
1 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
2 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : In this paper, the existence of stabilizing sliding motions in the context of switched linear systems is investigated. We consider the case of switched systems with two subsystems and we propose conditions for the existence of stable sliding hyper-planes. For particular cases of switched systems (planar systems, integrator chains), we provide constructive analytical methods for deriving a stabilizing switching sequence.
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https://hal.inria.fr/inria-00424438
Contributor : Thierry Floquet <>
Submitted on : Thursday, October 15, 2009 - 5:18:27 PM
Last modification on : Tuesday, September 29, 2020 - 12:24:14 PM
Long-term archiving on: : Wednesday, June 16, 2010 - 12:48:01 AM

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Thierry Floquet, Laurentiu Hetel, Wilfrid Perruquetti. Stabilization of switched linear systems: a sliding mode approach. ADHS'09 - IFAC Conference on Analysis and Design of Hybrid Systems, Sep 2009, Saragosse, Spain. ⟨10.3182/20090916-3-ES-3003.00063⟩. ⟨inria-00424438⟩

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