New Delay-dependent Robust Stability of Discrete Singular Systems with Time-varying Delay

被引:8
作者
Du, Zhaoping [1 ]
Qiu, Zhanzhi [2 ]
Zhang, Qingling [1 ]
Liu, Lili [1 ]
机构
[1] Northeastern Univ, Inst Syst Sci, Shenyang 110004, Peoples R China
[2] Dalian Jiaotong Univ, Inst Technol Software, Dalian 116028, Peoples R China
来源
2008 7TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-23 | 2008年
基金
中国国家自然科学基金;
关键词
delay-dependent; robust stability; discrete singular systems; time-varying delay;
D O I
10.1109/WCICA.2008.4593888
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 robust stability of discrete singular systems with time-varying delay is considered. New delay-dependent stability criteria are proposed, which are dependent on the minimum and maximum delay bounds. A strict delay-dependent linear matrix inequality (LMI) condition is obtained for a discrete singular time-varying system to be regular, causal and stable. The result on robust stability of uncertain discrete singular time-varying systems is also obtained and expressed in terms of LMIs. Numerical examples are given to demonstrate the applicability of the proposed method.
引用
收藏
页码:6359 / +
页数:2
相关论文
共 17 条
[1]  
Dai L., 1989, SINGULAR CONTROL SYS, DOI DOI 10.1007/BFB0002475
[2]   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
[3]  
Ji XF, 2006, P AMER CONTR CONF, V1-12, P3843
[4]   Criteria for robust stability and stabilization of uncertain linear systems with state delay [J].
Li, X ;
deSouza, CE .
AUTOMATICA, 1997, 33 (09) :1657-1662
[5]   Delay-dependent robust stabilisation of discrete-time systems with time-varying delay [J].
Liu, X. G. ;
Martin, R. R. ;
Wu, M. ;
Tang, M. L. .
IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2006, 153 (06) :689-702
[6]   Delay-dependent robust stability and stabilisation for uncertain discrete singular systems with time-varying delays [J].
Ma, S. ;
Cheng, Z. ;
Zhang, C. .
IET CONTROL THEORY AND APPLICATIONS, 2007, 1 (04) :1086-1095
[7]   H∞ control of discrete-time linear systems with norm-bounded uncertainties and time delay in state [J].
Song, SH ;
Kim, JK .
AUTOMATICA, 1998, 34 (01) :137-139
[8]  
Wang HJ, 2007, PROCEEDINGS OF THE 26TH CHINESE CONTROL CONFERENCE, VOL 3, P595
[9]   Delay-dependent robust H∞ control for uncertain singular time-delay systems [J].
Wu, Z. ;
Zhou, W. .
IET CONTROL THEORY AND APPLICATIONS, 2007, 1 (05) :1234-1241
[10]  
WU ZG, 2007, ACTA AUTOMATICA SINI, V33, P67