Asynchronous finite-time stabilisation of switched systems with average dwell time

被引:25
作者
Liu, H. [1 ]
Shen, Y. [1 ]
机构
[1] Harbin Inst Technol, Sch Astronaut, Harbin 150001, Peoples R China
关键词
LINEAR-SYSTEMS; DELAY SYSTEMS; STABILITY; STABILIZABILITY; DESIGN;
D O I
10.1049/iet-cta.2011.0224
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The problem of asynchronous finite-time stabilisation for a class of switched systems with average dwell time is investigated. The time-delays the authors considered are present in both the feedback state and switching signal. Based on average dwell time, merging switching signal and linear matrix inequalities technology, some sufficient conditions are proposed to guarantee that the closed-loop switched system is finite-time stabilisable. An example is given to illustrate the effectiveness of the method proposed.
引用
收藏
页码:1213 / 1219
页数:7
相关论文
共 24 条
[1]   H∞ static output feedback control for discrete-time switched linear systems with average dwell time [J].
Ding, D. -W. ;
Yang, G. -H. .
IET CONTROL THEORY AND APPLICATIONS, 2010, 4 (03) :381-390
[2]   An improved stabilization method for linear time-delay systems [J].
Fridman, E ;
Shaked, U .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (11) :1931-1937
[3]  
Hespanha J. P., 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), P2655, DOI 10.1109/CDC.1999.831330
[4]   Basic problems in stability and design of switched systems [J].
Liberzon, D ;
Morse, AS .
IEEE CONTROL SYSTEMS MAGAZINE, 1999, 19 (05) :59-70
[5]   Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results [J].
Lin, Hai ;
Antsaklis, Panos J. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (02) :308-322
[6]   Finite-time boundedness and L2-gain analysis for switched delay systems with norm-bounded disturbance [J].
Lin, Xiangze ;
Du, Haibo ;
Li, Shihua .
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (12) :5982-5993
[7]   STABILITY OF DISCRETE SYSTEMS OVER A FINITE INTERVAL OF TIME [J].
MICHEL, AN ;
WU, SH .
INTERNATIONAL JOURNAL OF CONTROL, 1969, 9 (06) :679-&
[8]   Time-delay systems: an overview of some recent advances and open problems [J].
Richard, JP .
AUTOMATICA, 2003, 39 (10) :1667-1694
[9]   Delay-dependent robust stability and H∞ control for uncertain discrete-time switched systems with mode-dependent time delays [J].
Sun, Yuan Gong ;
Wang, Long ;
Xie, Guangming .
APPLIED MATHEMATICS AND COMPUTATION, 2007, 187 (02) :1228-1237
[10]   Analysis and synthesis of switched linear control systems [J].
Sun, Z ;
Ge, SS .
AUTOMATICA, 2005, 41 (02) :181-195