LMI-based robust H∞ control of uncertain linear jump systems with time-delays

被引：65
|
作者：
Gao, JP
Huang, B [1 ]
Wang, ZD
机构：
[1] Univ Alberta, Dept Chem & Mat Engn, Edmonton, AB T6G 2G6, Canada
[2] Univ Kaiserslautern, Dept Math, D-67663 Kaiserslautern, Germany
来源：
AUTOMATICA | 2001年 / 37卷 / 07期
基金：
加拿大自然科学与工程研究理事会;
关键词：
robust stability; robust control; Markov models; time delay;
D O I：
10.1016/S0005-1098(01)00046-2
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 examines the robust mean square stabilization and robust H(infinity) control problem for a class of linear systems. The systems under consideration involve time delays, parameter uncertainties, and jumping parameters which may be seen as, for example, failures that occur in the systems at certain probabilities. The uncertain parameters are assumed to be time-varying and satisfy boundness conditions. A systematic approach via linear matrix inequalities (LMI) is proposed to solve the problem of concern. Sufficient conditions for robust mean square stabilization and robust H(infinity) control are given in the form of LMI and the control law is computed using standard LMI techniques. (C) 2001 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：1141 / 1146
页数：6
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