Stability and Stabilization for Discrete Systems with Time-varying Delays Based on the Average Dwell-time Method

被引：3
作者：
Sun, Jian [1 ]
Chen, Jie [1 ]
Liu, G. P. [2 ]
Rees, D. [2 ]
机构：
[1] Beijing Inst Technol, Sch Automat, Beijing 100081, Peoples R China
[2] Univ Glamorgan, Fac Adv Technol, Pontypridd CF37 1DL, M Glam, Wales
来源：
2009 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN AND CYBERNETICS (SMC 2009), VOLS 1-9 | 2009年
关键词：
Exponential stability; time-varying delay; feedback control; switched systems; linear matrix inequality; average dwell-time method; DEPENDENT ROBUST STABILITY; OUTPUT-FEEDBACK STABILIZATION; UNCERTAIN NEUTRAL SYSTEMS; NETWORKED CONTROL-SYSTEMS; H-INFINITY CONTROL; LINEAR-SYSTEMS; H(INFINITY) CONTROL; CRITERIA; DESIGN;
D O I：
10.1109/ICSMC.2009.5346075
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the problems of the exponential stability and stabilization for a class of discrete systems with time-varying delays are considered. By converting discrete systems with time-varying delays into switched systems and using the average dwell-time method, a new stability criterion is obtained and presented in terms of linear matrix inequality. Based on the obtained stability condition, a design method for the feedback controller to stabilize the system is also proposed. Finally, some numerical examples are given to show the effectiveness of the proposed method.
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收藏
页码：4786 / +
页数：2
相关论文
共 32 条
[1]  
[Anonymous], 2005, COMM CONT E
[2]   Delay-dependent robust H∞ control of uncertain linear state-delayed systems [J].
de Souza, CE ;
Li, X .
AUTOMATICA, 1999, 35 (07) :1313-1321
[3]   Delay-dependent H∞ control of uncertain discrete delay systems [J].
Fridman, E ;
Shaked, U .
EUROPEAN JOURNAL OF CONTROL, 2005, 11 (01) :29-37
[4]   Stability and guaranteed cost control of uncertain discrete delay systems [J].
Fridman, E ;
Shaked, U .
INTERNATIONAL JOURNAL OF CONTROL, 2005, 78 (04) :235-246
[5]   Delay-dependent output-feedback stabilisation of discrete-time systems with time-varying state delay [J].
Gao, H ;
Lam, J ;
Wang, C ;
Wang, Y .
IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2004, 151 (06) :691-698
[6]   New results on stability of discrete-time systems with time-varying state delay [J].
Gao, Huijun ;
Chen, Tongwen .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (02) :328-334
[7]  
Gu K., 2003, CONTROL ENGN SER BIR
[8]   Discretized Lyapunov functional for systems with distributed delay and piecewise constant coefficients [J].
Gu, KQ ;
Han, QL ;
Luo, ACJ ;
Niculescus, SI .
INTERNATIONAL JOURNAL OF CONTROL, 2001, 74 (07) :737-744
[9]   A descriptor system approach to robust stability of uncertain neutral systems with discrete and distributed delays [J].
Han, QL .
AUTOMATICA, 2004, 40 (10) :1791-1796
[10]   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
1234