Mean square stabilization control of switched systems with stochastic disturbances

Author

Feng, Wei ; Zhang, Ji-Feng

Author_Institution

Acad. of Math. & Syst. Sci., Chinese Acad. of Sci., Beijing, China

Volume

4

fYear

2004

fDate

14-17 Dec. 2004

Firstpage

3714

Abstract

In this paper, the mean square (MS) stability and exponential mean square (EMS) stability of multivariable switched stochastic systems are investigated. Based on the concept of the average dwell-time and the ratio of the total time running on all unstable subsystems to the total time running on all stable subsystems, some sufficient conditions are given to ensure the MS stability and EMS stability of the multi-variable switched stochastic systems involved. Further, for the switched stochastic control systems with all subsystems controllable or stabilizable, EMS stabilization controls and sufficient conditions on EMS stabilization are presented, and the convergent rates of the closed-loop systems are obtained.

Keywords

mean square error methods; multivariable systems; stability; stochastic systems; time-varying systems; average dwell-time; closed-loop systems; exponential mean square stability; mean square stabilization control; multi-variable switched stochastic systems; multivariable switched stochastic systems; stochastic disturbances; sufficient conditions; switched stochastic control systems; unstable subsystems; Control system analysis; Control systems; Controllability; Medical services; Optimal control; Stability analysis; Stochastic systems; Sufficient conditions; Switched systems; Switching frequency;

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.2004.1429316

Filename

1429316