Title :
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
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;
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
DOI :
10.1109/CCDC.2009.5191512
