Relative/multiplicative model reduction for unstable and non-minimum-phase systems
type: Item
instance of: scholarly article
title: Relative/multiplicative model reduction for unstable and non-minimum-phase systems
zbMATH Open document ID: 0839.93023
DOI: 10.1016/0005-1098(95)00027-T
published in: Automatica
publication date: 1996-06-23T00:00:00Z
review text: Model reduction of dynamical systems have value in simplifying the analysis and synthesis of control systems. Many methods are available for the model reduction of systems that are stable and minimum-phase. This paper uses the generalized frequency-weighted normal representations to obtain a relative/multiplicative model reduction for systems that may be unstable and non-minimum phase. So it can accomodate larger classes of systems. A priori error bound is also given. No numerical example is given. The paper would be more interesting if time responses of the original system and the reduced model were compared.
Mathematics Subject Classification ID: 93B11
Mathematics Subject Classification ID: 93B15
Mathematics Subject Classification ID: 93B20
zbMATH DE Number: 806694
zbMATH Keywords: model reduction
zbMATH Keywords: frequency-weighted normal representations
zbMATH Keywords: relative/multiplicative
zbMATH Keywords: unstable
zbMATH Keywords: non-minimum phase
author: Kemin Zhou
MaRDI profile type: Publication
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full work available at URL: 0005-1098(95)00027-t
OpenAlex ID: W1993747726
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description: scientific article; zbMATH DE number 806694