Dissipative control for stochastic singular systems with state delay

Author

Li Qin ; Meng Qinglin ; Wang Xianjie

Author_Institution

Sch. of Math. & Inf. Sci., Yantai Univ., Yantai, China

fYear

2011

fDate

22-24 July 2011

Firstpage

186

Lastpage

190

Abstract

In this paper, the dissipative control problem for a class of stochastic singular system with state delay is considered. Based on the singular stochastic Lyapunov method, a sufficient condition is firstly derived for the system to be mean-square asymptotically stable and strictly dissipative using linear matrix inequality. Then the state feedback controller is designed such that the closed-loop system to be mean-square asymptotically stable and strictly dissipative. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed method.

Keywords

Lyapunov matrix equations; asymptotic stability; closed loop systems; control system synthesis; delays; linear matrix inequalities; mean square error methods; state feedback; stochastic systems; closed loop system; dissipative control problem; linear matrix inequality; mean square asymptotical stability; singular stochastic Lyapunov system; state delay; state feedback controller design; stochastic singular system; Linear matrix inequalities; Lyapunov methods; State feedback; Stochastic processes; Sufficient conditions; Symmetric matrices; Dissipative control; Linear matrix inequality (LMI); State delay; Stochastic singular system;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2011 30th Chinese

Conference_Location

Yantai

ISSN

1934-1768

Print_ISBN

978-1-4577-0677-6

Electronic_ISBN

1934-1768

Type

conf

Filename

6001126