Robust exponential stabilization for Markovian jump systems with mode-dependent input delay

被引：110
作者：
Sun, Minhui
Lam, James
Xu, Shengyuan [1 ]
Zou, Yun
机构：
[1] Ocean Univ China, Dept Math, Qingdao 266071, Peoples R China
[2] Univ Hong Kong, Dept Engn Mech, Sha Tin 100083, Peoples R China
[3] Nanjing Univ Sci Technol, Dept Automat, Nanjing 210094, Peoples R China
来源：
AUTOMATICA | 2007年 / 43卷 / 10期
基金：
美国国家科学基金会;
关键词：
delay system; exponential stability; input delay; Markovian jump system; robust stabilization;
D O I：
10.1016/j.automatica.2007.03.005
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 paper is concerned with the problem of exponential stabilization for uncertain linear systems with Markovian jump parameters and mode-dependent input delays. Sufficient stabilization conditions are developed in terms of matrix inequalities, which can be solved by a proposed iterative algorithm based on the cone complementarity linearization (CCL) method. Memory controllers are also designed such that the closed-loop system is exponentially mean-square stable for all admissible uncertainties. Numerical examples are given to show that the developed method is efficient and less conservative. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1799 / 1807
页数：9
相关论文
共 20 条
[1]   Delay-dependent robust stability and H∞ control of jump linear systems with time-delay [J].
Boukas, EK ;
Liu, ZK ;
Liu, GX .
INTERNATIONAL JOURNAL OF CONTROL, 2001, 74 (04) :329-340
[2]  
Boukas EK, 2005, INT J INNOV COMPUT I, V1, P131
[3]  
Chen B, 2006, INT J INNOV COMPUT I, V2, P293
[4]   MIN-MAX PREDICTOR CONTROL FOR UNCERTAIN SYSTEMS WITH INPUT DELAYS [J].
CHERES, E ;
PALMOR, ZJ ;
GUTMAN, S .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (02) :210-214
[5]   MEMORYLESS H-INFINITY, CONTROLLER-DESIGN FOR LINEAR-SYSTEMS WITH DELAYED STATE AND CONTROL [J].
CHOI, HH ;
CHUNG, MJ .
AUTOMATICA, 1995, 31 (06) :917-919
[6]  
DEOLIVEIRA MC, 1997, P AM CONTR C ALB NM, V1, P72
[7]   A cone complementarity linearization algorithm for static output-feedback and related problems [J].
ElGhaoui, L ;
Oustry, F ;
AitRami, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (08) :1171-1176
[8]   STOCHASTIC STABILITY PROPERTIES OF JUMP LINEAR-SYSTEMS [J].
FENG, XB ;
LOPARO, KA ;
JI, YD ;
CHIZECK, HJ .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1992, 37 (01) :38-53
[9]   Delay-dependent stability and H∞ control:: constant and time-varying delays [J].
Fridman, E ;
Shaked, U .
INTERNATIONAL JOURNAL OF CONTROL, 2003, 76 (01) :48-60
[10]   Bandwidth-dependent scheduling algorithm to limit cell delay variation for CBR traffic in ATM networks [J].
Kim, YJ ;
Un, CK ;
Chang, SC ;
Chong, IY .
ELECTRONICS LETTERS, 1996, 32 (01) :9-10
12