Guaranteed cost control for uncertain discrete-time switched systems

被引:0
作者
Zhang, Ying [1 ]
Duan, Guangren [1 ]
Fu, Yanming [1 ]
机构
[1] Harbin Inst Technol, Ctr Control Theory & Guidance Technol, POB 416, Harbin 150001, Peoples R China
来源
WCICA 2006: SIXTH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-12, CONFERENCE PROCEEDINGS | 2006年
关键词
switched systems; discrete-time systems; guaranteed cost control; LMI;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
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.
引用
收藏
页码:1309 / +
页数:2
相关论文
共 16 条
[1]   Multiple Lyapunov functions and other analysis tools for switched and hybrid systems [J].
Branicky, MS .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (04) :475-482
[2]   ADAPTIVE GUARANTEED COST CONTROL OF SYSTEMS WITH UNCERTAIN PARAMETERS [J].
CHANG, SSL ;
PENG, TKC .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1972, AC17 (04) :474-&
[3]  
CLAUDIO DP, 2003, SYSTEMS CONTROL LETT, P291
[4]  
Daafouz J, 2002, IEEE DECIS CONTR P, P4389
[5]   Stability analysis and control synthesis for switched systems: A switched Lyapunov function approach [J].
Daafouz, J ;
Riedinger, P ;
Iung, C .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (11) :1883-1887
[6]  
Ishii H, 2001, P AMER CONTR CONF, P1876, DOI 10.1109/ACC.2001.946010
[7]   Basic problems in stability and design of switched systems [J].
Liberzon, D ;
Morse, AS .
IEEE CONTROL SYSTEMS MAGAZINE, 1999, 19 (05) :59-70
[8]  
Mignone D, 2000, IEEE DECIS CONTR P, P504, DOI 10.1109/CDC.2000.912814
[9]  
Sun Hongfei, 2002, Control Theory & Applications, V19, P438
[10]  
SUN ZD, 2003, IEEE T CIRCUITS SYST, P2969