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
2 SyNeR - Systèmes Non Linéaires et à Retards
3 LAGIS - Laboratoire d'Automatique, Génie Informatique et Signal
4 Centrale Lille

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.

Domaines: Automatique

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⟩