Title :
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
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;
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
