Guaranteed cost control for uncertain discrete-time switched systems with time-delay

被引:0
|
作者
Zhang, Y [1 ]
Duan, GR [1 ]
机构
[1] Harbin Inst Technol, Ctr Control Syst & Guidance Technol, Harbin 150001, Peoples R China
关键词
switched systems; time delay; guaranteed cost control; linear matrix inequalities;
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper deals with the guaranteed cost control problem for a class of uncertain linear discrete-time switched systems with time-delay under arbitrary switching laws. 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. A sufficient condition on the existence of guaranteed cost controllers is derived based on Lyapunov theory together with linear matrix inequality (LMI) approach. Furthermore, a convex optimization problem with LMIs constraints is formulated to select the suboptimal guaranteed cost controller. A numerical example demonstrates the validity of the proposed design approach.
引用
收藏
页码:1064 / 1068
页数:5
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