An improved stabilization method for linear time-delay systems

被引:667
作者
Fridman, E [1 ]
Shaked, U [1 ]
机构
[1] Tel Aviv Univ, Dept Elect Engn Syst, IL-69978 Tel Aviv, Israel
关键词
delay-dependent stability; linear matrix inequality (LMI); stabilization; time-delay systems; time-varying delay;
D O I
10.1109/TAC.2002.804462
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this note, we combine a new approach for linear time-delay systems based on a descriptor representation with a recent result on bounding of cross products of vectors. A delay-dependent criterion for determining the stability of systems with time-varying delays is obtained. This criterion is used to derive an efficient stabilizing state-feedback design method for systems with parameter uncertainty, of either the polytopic or the norm-bounded types.
引用
收藏
页码:1931 / 1937
页数:7
相关论文
共 19 条
[11]   On delay-dependent stability conditions [J].
Kharitonov, VL ;
Melchor-Aguilar, D .
SYSTEMS & CONTROL LETTERS, 2000, 40 (01) :71-76
[12]  
KOLMANOVSKII V, 1999, APPL THEORY FUNCTION
[13]   Stability of some linear systems with delays [J].
Kolmanovskii, VB ;
Richard, JP .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (05) :984-989
[14]   On the Liapunov-Krasovskii functionals for stability analysis of linear delay systems [J].
Kolmanovskii, VB ;
Niculescu, SI ;
Richard, JP .
INTERNATIONAL JOURNAL OF CONTROL, 1999, 72 (04) :374-384
[15]   Criteria for robust stability and stabilization of uncertain linear systems with state delay [J].
Li, X ;
deSouza, CE .
AUTOMATICA, 1997, 33 (09) :1657-1662
[16]  
MAHMOUD MS, 2000, ROBUST CONTROL FILTE
[17]   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
[18]   A delay-dependent stability criterion for systems with uncertain time-invariant delays [J].
Park, PG .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (04) :876-877
[19]  
ZHOU K., 1996, Robust and Optimal Control