Reduced-order \(H^\infty\) controller design -- an algebraic Riccati equation approach
type: Item
instance of: scholarly article
title: Reduced-order \(H^\infty\) controller design -- an algebraic Riccati equation approach
zbMATH Open document ID: 0952.93026
DOI: 10.1016/S0005-1098(99)00219-8
author: Yanyan Li
published in: Automatica
publication date: 2001-01-07T00:00:00Z
review text: An algebraic Riccati equation (ARE) approach to the reduced-order \(H^{\infty }\) controller design problem is proposed. It is shown that the order of \(H^{\infty }\) controller can be reduced to \(r\), where \(r\) is the rank of the stabilizing solution \(W_{\infty }\) to an ARE in \(W\) developed by \textit{I. R. Petersen, B. D. O. Anderson} and \textit{E. A. Jonckheere} [Int. J. Robust Nonlinear Control 1, 171-185 (1991; Zbl 0759.93027)]. State-space formulas for the reduced-order \(H^{\infty }\) controller design are also given in terms of the stabilizing solution to the two standard \(H^{\infty }\) AREs.
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93B11
Mathematics Subject Classification ID: 93B51
zbMATH DE Number: 1443881
zbMATH Keywords: \(H^{\infty }\) control
zbMATH Keywords: reduced-order controller
zbMATH Keywords: bounded real lemma
zbMATH Keywords: algebraic Riccati equation
zbMATH Keywords: state-space formulas
reviewed by: É. Gyurkovics
MaRDI profile type: Publication
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full work available at URL: s0005-1098(99)00219-8
OpenAlex ID: W1971866794
description: scientific article; zbMATH DE number 1443881