Stabilization of continuous-time singularly perturbed switched systems

Ivan Malloci (1) , Jamal Daafouz (1) , Claude Iung (1)

1 CRAN - Centre de Recherche en Automatique de Nancy

In this article, stability of continuous-time switched linear systems in the singular perturbation form is investigated. We show that the stability of slow and fast switched subsystems is not a sufficient condition for stability of the corresponding two-time scale switched system, under an arbitrary switching law. Thus, LMI conditions to design a state-feedback control law stabilizing continuous-time singularly perturbed switched linear systems are proposed.

Mots clés: Switched Systems; Singular Perturbation; Lyapunov Functions

Domaines: Automatique

Ivan Malloci, Jamal Daafouz, Claude Iung. Stabilization of continuous-time singularly perturbed switched systems. 48th IEEE Conference on Decision and Control, CDC'09, Dec 2009, Shanghai, China. pp.CDROM. ⟨hal-00439265⟩