SISO controller design to minimize a positive combination of the \(l_ 1\) and the \({\mathcal H}_ 2\) norms
type: Item
instance of: scholarly article
title: SISO controller design to minimize a positive combination of the \(l_ 1\) and the \({\mathcal H}_ 2\) norms
zbMATH Open document ID: 0872.93024
DOI: 10.1016/S0005-1098(96)00169-0
author: Murti Salapaka
author: Mohammed Dahleh
author: Petros G. Voulgaris
published in: Automatica
publication date: 1997-07-07T00:00:00Z
review text: The authors study the problem of minimizing a linear combination of the \( l_1\) and the \({\mathcal H}_2\) norms of the closed-loop transfer function for discrete-time SISO feedback systems. The consideration is based on the Lagrange duality theory techniques. The existence and the properties of the optimal solution are studied for the representation of the primal problem as the one of the finite-dimensional convex optimization theory.
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 90C25
Mathematics Subject Classification ID: 93C55
zbMATH DE Number: 1017016
zbMATH Keywords: \(l_ 1\) and \(\mathcal H_ 2\) norms
zbMATH Keywords: discrete-time SISO feedback systems
zbMATH Keywords: Lagrange duality theory
zbMATH Keywords: convex optimization
reviewed by: T. F. Filippova
describes a project that uses: QDES
MaRDI profile type: Publication
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full work available at URL: s0005-1098(96)00169-0
OpenAlex ID: W2138870570
Wikidata QID: Q128037021
description: scientific article; zbMATH DE number 1017016