Solutions to general \(H_{\infty}\) almost disturbance decoupling problem with measurement feedback and internal stability for discrete-time systems
type: Item
instance of: scholarly article
title: Solutions to general \(H_{\infty}\) almost disturbance decoupling problem with measurement feedback and internal stability for discrete-time systems
zbMATH Open document ID: 0963.93024
DOI: 10.1016/S0005-1098(00)00022-4
published in: Automatica
publication date: 2001-06-25T00:00:00Z
review text: The authors propose a general technique for measurement feedback design which ensures attenuation of disturbances up to any prespecified degree and internal stability for a closed loop discrete-time linear system. The problem is solved using the \(H_\infty\) machinery in three steps. First necessary and sufficient conditions for solvability of the considered problem with perfect measurements (i.e., all state variables and disturbances are measured) are presented. Then similar conditions for output feedback controllers and strictly proper output feedback controllers are given. In the full information case the controller may be static while in the general measurement case it should be dynamic. The authors allow for invariant zeros on the unit circle that makes the considered problem general. Moreover, a method for reduction of the order of the controller is also presented. The results are illustrated by a simple numerical example.
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93C55
zbMATH DE Number: 1491305
zbMATH Keywords: \(H_\infty\) control
zbMATH Keywords: disturbance attenuation
zbMATH Keywords: order reduction
zbMATH Keywords: internal stability
zbMATH Keywords: discrete-time linear system
zbMATH Keywords: output feedback
zbMATH Keywords: invariant zeros on the unit circle
author: Zongli Lin
author: Ben M. Chen
reviewed by: Andrzej Świerniak
describes a project that uses: Matlab
MaRDI profile type: Publication
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full work available at URL: s0005-1098(00)00022-4
OpenAlex ID: W2120519445
description: scientific article; zbMATH DE number 1491305