ROBUST STABILIZATION OF DISCRETE-TIME LINEAR-SYSTEMS WITH NORM-BOUNDED TIME-VARYING UNCERTAINTY

被引：90
|
作者：
GARCIA, G
BERNUSSOU, J
ARZELIER, D
机构：
[1] INSA,F-31077 TOULOUSE,FRANCE
[2] CNRS,AUTOMAT & ANAL SYST LAB,F-31077 TOULOUSE,FRANCE
来源：
SYSTEMS & CONTROL LETTERS | 1994年 / 22卷 / 05期
关键词：
UNCERTAIN SYSTEMS; QUADRATIC STABILITY; LYAPUNOV STABILITY THEORY; DISCRETE-TIME LINEAR SYSTEMS; NORM-BOUNDED UNCERTAINTY;
D O I：
10.1016/0167-6911(94)90030-2
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper presents an algorithm for the stabilization of a class of discrete-time uncertain systems suffering from uncertainty of the norm-bounded time-varying type. The stabilizing control gain matrix is obtained by solving a certain discrete Riccati equation. The solution of this Riccati equation is also a Lyapunov matrix which is used to establish the stability of closed-loop system. The results presented in this paper generalize those obtained in previous works for continuous-time uncertain systems.
引用
收藏
页码：327 / 339
页数：13
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