Delay-dependent dissipative control for linear time-delay systems

被引：82
作者：
Li, ZH [1 ]
Wang, JC [1 ]
Shao, HH [1 ]
机构：
[1] Zhongxing Telecommun Equipment Corp Ltd, Zhongxing, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2002年 / 339卷 / 6-7期
基金：
中国国家自然科学基金;
关键词：
dissipative control; time-delay systems; linear matrix inequalities;
D O I：
10.1016/S0016-0032(02)00030-3
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 deals with the problem of delay-dependent dissipative control for a class of linear time-delay systems. We develop the design methods of dissipative static state feedback and dynamic output feedback controllers such that the closed-loop system is quadratically stable and strictly (Q, S, R)-dissipative. Sufficient conditions for the existence of the quadratic dissipative controllers are obtained by using linear matrix inequality (LMI) approach. Furthermore, a procedure of constructing such controllers from the solutions of LMIs is given. It is shown that the solvability of a dissipative controller design problem is implied by the feasibility of LMIs. The main results of this paper unify the existing results on H-infinity control and passive control. (C) 2002 The Franklin Institute. Published by Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：529 / 542
页数：14
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