An LMI approach to reliable guaranteed cost control of discrete-time systems with actuator failure

被引：80
|
作者：
Yu, L [1 ]
机构：
[1] Zhejiang Univ Technol, Dept Automat, Inst Informat & Control, Hangzhou 310032, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 162卷 / 03期
基金：
中国国家自然科学基金;
关键词：
reliable control; actuator failure; guaranteed cost control; LMI;
D O I：
10.1016/j.amc.2004.03.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the reliable guaranteed cost control problem for discrete-time systems with actuator failures and a given quadratic cost function. The problem is to design a reliable guaranteed cost state feedback control law which can tolerate actuator failure, Such that the cost function of the closed-loop system is guaranteed to be no more than a certain Upper bound. A sufficient condition For the existence of reliable guaranteed cost controllers is derived via the linear matrix inequality (LMI) approach, and a design procedure of such controllers is presented. Furthermore, a convex optimization problem with LMI constraints is formulated to design the optimal reliable guaranteed cost controller which minimizes the Upper bound of the closed-loop system cost. (C) 2004 Published by Elsevier Inc.
引用
收藏
页码：1325 / 1331
页数：7
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