Title :
Guaranteed Cost Control for Uncertain Discrete-time Switched Systems
Author :
Zhang, Ying ; Duan, Guangren ; Fu, Yanming
Author_Institution :
Center for Control Theor. & Guidance Technol., Harbin Inst. of Technol.
Abstract :
Guaranteed cost control for a class of linear discrete-time switched systems with parameter uncertainty is studied. The purpose is to design a state feedback control law such that the closed-loop system is asymptotically stable and the closed-loop cost function value is not more than a specified upper bound for all admissible uncertainties. Two different sufficient conditions on the existence of guaranteed cost controllers are derived based on a switched Lyapunov function (SLF) method together with linear matrix inequality (LMI) approach. Furthermore, a convex optimization problem with LMIs constraints is formulated to design a suboptimal guaranteed cost controller. A numerical example demonstrates the effect of the proposed design approach
Keywords :
Lyapunov methods; asymptotic stability; closed loop systems; convex programming; discrete time systems; linear matrix inequalities; state feedback; uncertain systems; LMI constraint; asymptotic stability; closed-loop cost function value; closed-loop system; convex optimization problem; guaranteed cost control; linear discrete-time switched system; linear matrix inequality; parameter uncertainty; state feedback control law; suboptimal guaranteed cost controller; switched Lyapunov function; uncertain discrete-time switched system; Control systems; Cost function; Linear matrix inequalities; Lyapunov method; State feedback; Sufficient conditions; Switched systems; Uncertain systems; Uncertainty; Upper bound; LMI; Switched systems; discrete-time systems; guaranteed cost control;
Conference_Titel :
Intelligent Control and Automation, 2006. WCICA 2006. The Sixth World Congress on
Conference_Location :
Dalian
Print_ISBN :
1-4244-0332-4
DOI :
10.1109/WCICA.2006.1712559
