An LMI approach to guaranteed cost control of linear uncertain time-delay systems

被引：410
作者：
Yu, L [1 ]
Chu, J
机构：
[1] Zhejiang Univ Technol, Dept Automat, Hangzhou 310032, Peoples R China
[2] Zhejiang Univ, Inst Ind Control, Hangzhou 310027, Peoples R China
来源：
AUTOMATICA | 1999年 / 35卷 / 06期
关键词：
uncertain systems; guaranteed cost control; delay; robust control; LMI;
D O I：
10.1016/S0005-1098(99)00007-2
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The guaranteed cost control problem via memoryless state feedback controllers is studied in this paper for a class of linear time-delay systems with norm-bounded time-varying parametric uncertainty and a given quadratic cost function. Sufficient conditions for the existence of guaranteed cost controllers are given in terms of linear matrix inequalities (LMIs). Furthermore, a convex optimization problem with LMI constraints is formulated to design the optimal guaranteed cost controller which minimizes the guaranteed cost of the closed-loop uncertain system. (C) 1999 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：1155 / 1159
页数：5
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