A memoryless robust stabilizing controller for a class of uncertain linear time-delay systems

被引：9
|
作者：
Su, HY [1 ]
Chu, J [1 ]
Wang, JC [1 ]
机构：
[1] Zhejiang Univ, Inst Ind Proc Control, Hangzhou 310027, Peoples R China
来源：
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 1998年 / 29卷 / 02期
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1080/00207729808929511
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 memoryless robust stabilization problem is studied for a class of uncertain linear dynamic systems with time-delays in both state and control. The uncertain time-delay systems under consideration are described by state differential equations with time-varying unknown-but-bounded uncertain parameters. A sufficient condition for the existence of a memoryless robust controller is derived and two methods ave presented for synthesizing robust control laws for uncertain time-delay systems. One is to transform the robust control problem into a standard HCO control problem via the equivalent system transformation, and the control law can be obtained by solving an algebraic Riccati equation (ARE). The other method is to transform the sufficient condition into a linear matrix inequality (LMI) problem and the control law can be obtained by solving the LMI. Finally, a numerical example is presented to show the feasibility of the obtained results.
引用
收藏
页码：191 / 197
页数：7
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