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

页码：327 / 339

页数：13

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