Title :
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
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;
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
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5399876
