Guaranteed cost control for uncertain switched singular systems

Author

Xiu-hua, Zhang ; Hong-yan, Zhang ; Si-wang, Bi

Author_Institution

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

fYear

2009

fDate

17-19 June 2009

Firstpage

4569

Lastpage

4573

Abstract

Based on the guaranteed cost control theories and other related theories about switched systems, this paper studies the guaranteed cost control for a class of uncertain switched singular systems. First 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. Then given a guaranteed cost controller design method which is express in the form of linear matrix inequality (LMI). A numerical example demonstrates the validity of the proposed design approach.

Keywords

Lyapunov methods; control system synthesis; linear matrix inequalities; state feedback; time-varying systems; uncertain systems; Lyapunov functions method; arbitrary switching laws; guaranteed cost controller design method; linear matrix inequality; state feedback guaranteed cost controller; uncertain switched singular systems; Bismuth; Control systems; Control theory; Cost function; Linear feedback control systems; Lyapunov method; Stability; State feedback; Sufficient conditions; Switched systems; guaranteed cost control; singular system; switch; uncertain;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference, 2009. CCDC '09. Chinese

Conference_Location

Guilin

Print_ISBN

978-1-4244-2722-2

Electronic_ISBN

978-1-4244-2723-9

Type

conf

DOI

10.1109/CCDC.2009.5191512

Filename

5191512