Disturbance attenuation of uncertain switched linear systems

Author

Ji, Zhijian ; Wang, Long

Author_Institution

Dept. of Mech. & Eng. Sci., Peking Univ., Beijing, China

Volume

4

fYear

2004

fDate

14-17 Dec. 2004

Firstpage

3708

Abstract

We study disturbance attenuation properties of switched linear systems with norm-bounded time-varying uncertainties. Based on multiple Lyapunov functions methodology, a sufficient condition is derived for robust stabilization with a prescribed disturbance attenuation level γ only by employing the largest region function strategy. This condition is constructively formulated as a bilinear matrix inequality (BMI) problem. Then the disturbance attenuation via switched state feedback is also studied. AB the switching rules adopted are constructively designed and do not depend on any uncertainties.

Keywords

Lyapunov methods; linear matrix inequalities; linear systems; state feedback; time-varying systems; uncertain systems; bilinear matrix inequality; disturbance attenuation properties; multiple Lyapunov functions; norm-bounded time-varying uncertainties; region function strategy; robust stabilization; sufficient condition; switched state feedback; switching rules; uncertain switched linear systems; Attenuation; Control systems; Linear systems; Lyapunov method; Riccati equations; Stability; State feedback; Sufficient conditions; Switched systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2004. CDC. 43rd IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-8682-5

Type

conf

DOI

10.1109/CDC.2004.1429315

Filename

1429315