Disturbance attenuation by dynamic output feedback for input-delay systems

被引：15

作者：

Di Loreto, Michael ^{[1
]}

Loiseau, Jean Jacques ^{[2
]}

Lafay, Jean-Francois ^{[2
]}

机构：

[1] INSA, CNRS, UMR 5005, Lab Ampere, F-69621 Villeurbanne, France

[2] IRCCyN, CNRS, UMR 6597, F-44321 Nantes 3, France

来源：

AUTOMATICA | 2008年 / 44卷 / 08期

关键词：

disturbance attenuation; optimal rejection; input-delay system; linear control; induced norm; geometric approach; controlled and conditioned invariant subspaces; almost invariance;

D O I：

10.1016/j.automatica.2007.12.003

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 addresses (lie optimal disturbance attenuation problem by Output feedback for multivariable linear systems with delayed inputs. The attenuation is optimal in the sense that the controller minimizes the maximal amplitude of the plant output in response to Such a disturbance. The controller is a general feedback, involving an observer, a state predictor, and a predicted state feedback. The optimal disturbance attenuation problem is [formulated in terms of an equivalent system without delay. The optimal bound of the disturbance attenuation is then characterized, and it is shown that the optimal controller tends to have high gains. A necessary and Sufficient condition to guarantee the existence of an optimal solution is provided using the geometric approach. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：2202 / 2206

页数：5

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