Modelling of uncertain systems via linear programming
type: Item
instance of: scholarly article
title: Modelling of uncertain systems via linear programming
zbMATH Open document ID: 0851.93006
DOI: 10.1016/0005-1098(95)00148-4
author: T. K. Gustafsson
author: P. M. Mäkilä
published in: Automatica
publication date: 1996-11-26T00:00:00Z
review text: Most industrial control loops are designed using linear time-invariant (LTI) plant models. The authors formalize the problem of best approximate LTI modelling of BIBO-stable linear time-varying (LTV) systems in a way that is compatible with the notion of induced \(l^\infty\) norm used in robust \(l^1\) control. This setup is closely related with identification methods and control-motivated validation/invalidation procedures that can be implemented with special-purpose linear programming (LP) techniques. Results are given for approximate modelling of BIBO-stable LTV and LTI systems, using LTI models. It is shown that such parametrizations are satisfactory from an approximate modelling point of view, and can be used in output-error type LP identification and in LP model validation procedures. Simulation examples are given to illustrate that such techniques give good results to solve problems of realistic size.
Mathematics Subject Classification ID: 93A30
Mathematics Subject Classification ID: 90C05
Mathematics Subject Classification ID: 93B30
Mathematics Subject Classification ID: 93C99
zbMATH DE Number: 885837
zbMATH Keywords: time-varying
zbMATH Keywords: identification
zbMATH Keywords: linear programming
zbMATH Keywords: approximate modelling
reviewed by: Yves Cherruault
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: 0005-1098(95)00148-4
OpenAlex ID: W2015093551
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description: scientific article; zbMATH DE number 885837