Stability of linear discrete switched systems with delays based on average dwell time method

被引:6
作者
Wang Yong [1 ]
Wang Wei [1 ]
Liu GuoPing [2 ,3 ]
机构
[1] Dalian Univ Technol, Res Ctr Informat & Control, Dalian 116024, Peoples R China
[2] Univ Glamorgan, Fac Adv Technol, Pontypridd CF37 1DL, M Glam, Wales
[3] Harbin Inst Technol, CTGT Ctr, Harbin 150001, Peoples R China
基金
中国国家自然科学基金;
关键词
switched systems; average dwell time; time delay; LMI; DEPENDENT ROBUST STABILITY; H-INFINITY; STABILIZATION;
D O I
10.1007/s11432-010-0115-8
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper deals with the problem of exponential stability for a class of linear discrete switched systems with constant delays. The switched systems consist of stable and unstable subsystems. Based on the average dwell time method, some switching signals will be found to guarantee exponential stability of these systems. The explicit state decay estimation is also given in the form of the solutions of linear matrix inequalities (LMIs). An example relating to networked control systems (NCSs) illustrates the effectiveness of the proposed method.
引用
收藏
页码:1216 / 1223
页数:8
相关论文
共 18 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]   Delay-dependent stability and H∞ control:: constant and time-varying delays [J].
Fridman, E ;
Shaked, U .
INTERNATIONAL JOURNAL OF CONTROL, 2003, 76 (01) :48-60
[3]   Delay-dependent Robust H∞ and L2-L∞ filtering for a class of uncertain nonlinear time-delay systems [J].
Gao, HJ ;
Wang, CH .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (09) :1661-1666
[4]  
GU K., 2003, CONTROL ENGN SER BIR
[5]   On robust stability of time-delay systems with norm-bounded uncertainty [J].
Han, QL ;
Gu, KQ .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (09) :1426-1431
[6]   Parameter-dependent Lyapunov functional for stability of time-delay systems with polytopic-type uncertainties [J].
He, Y ;
Wu, M ;
She, JH ;
Liu, GP .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (05) :828-832
[7]   Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays [J].
He, Y ;
Wu, M ;
She, JH ;
Liu, GP .
SYSTEMS & CONTROL LETTERS, 2004, 51 (01) :57-65
[8]   Nonlinear norm-observability notions and stability of switched systems [J].
Hespanha, JP ;
Liberzon, D ;
Angeli, D ;
Sontag, ED .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (02) :154-168
[9]  
Liberzon D., 2003, SYS CON FDN, P190, DOI 10.1007/978-1-4612-0017-8
[10]  
Lin H, 2003, 42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, P1182