A parametric optimization approach to \(H_{\infty}\) and \(H_{2}\) strong stabilization.
type: Item
instance of: scholarly article
title: A parametric optimization approach to \(H_{\infty}\) and \(H_{2}\) strong stabilization.
zbMATH Open document ID: 1035.93022
DOI: 10.1016/S0005-1098(03)00065-7
author: Daniel U. Campos-Delgado
author: Kemin Zhou
published in: Automatica
publication date: 2003-07-29T00:00:00Z
review text: This paper presents an approach for designing stable MIMO \(H_\infty\) and \(H_2\) controllers by directly computing the norm-constrained stable transfer matrices \(Q\) in the \(H_\infty\) and \(H_2\) suboptimal controller parametrizations. This is done by first converting the \(H_2\) and \(H_\infty\) strong stabilization problems into some nonlinear unconstrained optimization problems through explicit parametrization of the norm-constrained \(Q\)'s for any fixed order. Then, a two-stage numerical search is carried out by using a combination of a genetic algorithm and a quasi-Newton algorithm in order to reach an optimal solution. The effectiveness of the proposed algorithms is illustrated through some benchmark numerical examples.
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93B40
Mathematics Subject Classification ID: 93D15
zbMATH DE Number: 1956143
zbMATH Keywords: strong stabilization
zbMATH Keywords: \(H_\infty\) control
zbMATH Keywords: \(H_2\) control
zbMATH Keywords: genetic algorithm
Wikidata QID: Q57676321
reviewed by: Vasile Dragan
describes a project that uses: Optimization Toolbox
MaRDI profile type: Publication
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full work available at URL: s0005-1098(03)00065-7
OpenAlex ID: W1992879383
DBLP publication ID: journals/automatica/Campos-DelgadoZ03
description: scientific article; zbMATH DE number 1956143