ℋ∞ dynamic output feedback control of switched stochastic systems

Author

Wu, Ligang ; Ho, Daniel W C ; Li, C.W.

Author_Institution

Space Control & Inertial Technol. Res. Center, Harbin Inst. of Technol., Harbin, China

fYear

2009

fDate

15-18 Dec. 2009

Firstpage

500

Lastpage

505

Abstract

This paper is concerned with the H_∞ dynamic output feedback (DOF) control problem for continuous-time switched stochastic systems. By applying the average dwell time method and the piecewise Lyapunov function technique, a sufficient condition is first proposed, which guarantees the closed-loop switched stochastic system to be mean-square exponentially stable with a weighted H_∞ performance. The H_∞ DOF controller can be found by solving a set of linear matrix inequalities (LMIs). A numerical example is provided to illustrate the effectiveness of the proposed theories.

Keywords

H^∞ control; Lyapunov methods; asymptotic stability; feedback; linear matrix inequalities; stochastic systems; H_∞ dynamic output feedback control; average dwell time method; linear matrix inequalities; mean square exponential stability; piecewise Lyapunov function; switched stochastic systems; Control systems; Linear matrix inequalities; Lyapunov method; Output feedback; Space technology; Stability; Stochastic systems; Sufficient conditions; Switched systems; Symmetric matrices;

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.2009.5400305

Filename

5400305