Improved delay-dependent stability criteria for time-delay systems

被引：440
作者：
Xu, SY [1 ]
Lam, J
机构：
[1] Nanjing Univ Sci & Technol, Dept Automat, Nanjing 210094, Peoples R China
[2] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2005年 / 50卷 / 03期
基金：
中国国家自然科学基金;
关键词：
delay-dependent condition; linear matrix inequality (LMI); time-delay systems; uncertain systems;
D O I：
10.1109/TAC.2005.843873
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 note provides an improved asymptotic stability condition for time-delay systems in terms of a strict linear matrix inequality. Unlike previous methods, the mathematical development avoids bounding certain cross terms which often leads to conservatism. When time-varying norm-bounded uncertainties appear in a delay system, an improved robust delay-dependent stability condition is also given. Examples are provided to demonstrate the reduced conservatism of the proposed conditions.
引用
收藏
页码：384 / 387
页数：4
相关论文
共 13 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]  
HALE JK, 1977, THEORY FUNCTIONAL DI
[4]   Delay-dependent robust H∞ control for uncertain systems with a state-delay [J].
Lee, YS ;
Moon, YS ;
Kwon, WH ;
Park, PG .
AUTOMATICA, 2004, 40 (01) :65-72
[5]   Criteria for robust stability and stabilization of uncertain linear systems with state delay [J].
Li, X ;
deSouza, CE .
AUTOMATICA, 1997, 33 (09) :1657-1662
[6]   Delay-dependent robust stability and stabilization of uncertain linear delay systems: A linear matrix inequality approach [J].
Li, X ;
deSouza, CE .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (08) :1144-1148
[7]   Robust stability of interval time-delay systems with delay-dependence [J].
Liu, PL ;
Su, TJ .
SYSTEMS & CONTROL LETTERS, 1998, 33 (04) :231-239
[8]   On improved delay-dependent robust stability criteria for uncertain systems with multiple-state delays [J].
Lu, CY ;
Tsai, JSH ;
Su, TJ .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2002, 49 (02) :253-256
[9]   Delay-dependent robust stabilization of uncertain state-delayed systems [J].
Moon, YS ;
Park, P ;
Kwon, WH ;
Lee, YS .
INTERNATIONAL JOURNAL OF CONTROL, 2001, 74 (14) :1447-1455
[10]  
Niculescu SI, 1995, PROCEEDINGS OF THE 34TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, P1495, DOI 10.1109/CDC.1995.480347
12