Guaranteed cost control for uncertain discrete switched singular systems

Author

Zhang, Xiuhua ; Zhang, Hongyan ; Zhang, QingLing

Author_Institution

Inst. of Syst. Sci. Coll. of Sci., Northeastern Univ., Shenyang, China

fYear

2009

Firstpage

192

Lastpage

196

Abstract

This paper studies the guaranteed cost control for a class of uncertain switched singular systems based on the guaranteed cost control theories and other related theories about switched systems. Firstly by using the common Lyapunov functions method, a sufficient condition on the existence of state feedback guaranteed cost controller is derived under arbitrary switching laws. Secondly a sufficient and necessary condition on the existence of state feedback guaranteed cost controller is derived under arbitrary switching laws .At last we give a guaranteed cost controller design method which is expressed in the form of linear matrix inequality (LMI).

Keywords

Lyapunov methods; control system synthesis; cost optimal control; discrete systems; linear matrix inequalities; singularly perturbed systems; state feedback; time-varying systems; uncertain systems; LMI; arbitrary switching laws; common Lyapunov functions method; guaranteed cost control; linear matrix inequality; state feedback; uncertain discrete switched singular systems; Control systems; Control theory; Cost function; Design methodology; Linear feedback control systems; Linear matrix inequalities; Lyapunov method; State feedback; Sufficient conditions; Switched systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Asian Control Conference, 2009. ASCC 2009. 7th

Conference_Location

Hong Kong

Print_ISBN

978-89-956056-2-2

Electronic_ISBN

978-89-956056-9-1

Type

conf

Filename

5276246