Stabilization of continuous-time singularly perturbed switched systems

Author

Malloci, I. ; Daafouz, J. ; Iung, C.

Author_Institution

Centre de Rech. en Autom. de Nancy, Nancy Univ., Vandoeuvre-les-Nancy, France

fYear

2009

fDate

15-18 Dec. 2009

Firstpage

6371

Lastpage

6376

Abstract

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.

Keywords

continuous time systems; linear matrix inequalities; perturbation techniques; stability; state feedback; LMI; arbitrary switching law; continuous-time singularly perturbed switched systems; linear matrix inequalities; stabilization; state-feedback control law; two-time scale switched system; Asymptotic stability; Control systems; Differential equations; Linear systems; Lyapunov method; Optimal control; Perturbation methods; Stability analysis; Sufficient conditions; Switched systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on

Conference_Location

Shanghai

ISSN

0191-2216

Print_ISBN

978-1-4244-3871-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2009.5399876

Filename

5399876