Robust stabilization and guaranteed cost control for discrete-time linear systems by static output feedback

被引:42
|
作者
Garcia, G
Pradin, B
Tarbouriech, S
Zeng, FY
机构
[1] CNRS, LAAS, F-31077 Toulouse 4, France
[2] INSA, F-31077 Toulouse 4, France
关键词
static output feedback; linear quadratic optimal control; Riccati equation; discrete-time systems;
D O I
10.1016/S0005-1098(03)00174-2
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 proposes a systematic approach for the static output feedback control design for discrete-time uncertain linear systems. It is shown that if the open-loop system satisfies some particular structural conditions and the uncertainty has a specific structure, a static output feedback gain can be calculated easily, using a formula only involving the original system matrices. Among the conditions the system has to satisfy, the strongest one relies on a minimum phase argument. Square and nonsquare systems are considered. The performance problem through a quadratic criterion is also discussed (guaranteed cost control). (C) 2003 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1635 / 1641
页数:7
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