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

被引：409

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

页码：1155 / 1159

页数：5

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