Improved Delay-dependent Stability Criteria for Linear System with Interval Time-varying Delay

被引：0
作者：
Wang Jianan [1 ]
机构：
[1] Taiyuan Univ Sci & Technol, Sch Elect & Informat Engn, Taiyuan 030024, Shanxi, Peoples R China
来源：
PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE | 2012年
关键词：
Interval time-varying delay; Delay-dependent stability; Convex combination technique; Linear matrix inequality(LMI); ROBUST STABILITY;
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：
The problem of delay-dependent asymptotic stability for linear system with interval time-varying delay is investigated. Based on delay decomposition method, a new type of Lyapunov functional is constructed, which make use of the information on the lower bound of the delay and some delayed state sufficiently. Several less conservative delay-dependent stability criteria are presented by using the piecewise analysis method and a new convex combination technique. Numerical examples are given to demonstrate the effectiveness and less conservatism of the proposed method.
引用
收藏
页码：1325 / 1329
页数：5
相关论文
共 20 条
[1]   A descriptor system approach to H∞ control of linear time-delay systems [J].
Fridman, E ;
Shaked, U .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (02) :253-270
[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]  
GU K., 2003, CONTROL ENGN SER BIR
[4]   An integral inequality in the stability problem of time-delay systems [J].
Gu, KQ .
PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, :2805-2810
[5]   Delay-range-dependent stability for systems with time-varying delay [J].
He, Yong ;
Wang, Qing-Guo ;
Lin, Chong ;
Wu, Min .
AUTOMATICA, 2007, 43 (02) :371-376
[6]   New stability criteria for linear systems with interval time-varying delay [J].
Jiang, Xiefu ;
Han, Qing-Long .
AUTOMATICA, 2008, 44 (10) :2680-2685
[7]   Delay-dependent robust stability for uncertain linear systems with interval time-varying delay [J].
Jiang, Xiefu ;
Han, Qing-Long .
AUTOMATICA, 2006, 42 (06) :1059-1065
[8]   Simple stability criteria for systems with time-varying delays [J].
Kao, CY ;
Lincoln, B .
AUTOMATICA, 2004, 40 (08) :1429-1434
[9]   Simplified approach to the asymptotical stability of linear systems with interval time-varying delay [J].
Li, T. ;
Guo, L. ;
Wu, L. .
IET CONTROL THEORY AND APPLICATIONS, 2009, 3 (02) :252-260
[10]   A less conservative robust stability test for linear uncertain time-delay systems [J].
Lin, C ;
Wang, QG ;
Lee, TH .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2006, 51 (01) :87-91
12