Reduced order modelling of linear multivariable systems using an error minimization technique
type: Item
instance of: scholarly article
title: Reduced order modelling of linear multivariable systems using an error minimization technique
zbMATH Open document ID: 0642.93036
DOI: 10.1016/0016-0032(88)90085-3
author: B. George
published in: Journal of the Franklin Institute
publication date: 1988-01-01T00:00:00Z
review text: The method of reducing the order of a linear multivariable system is discussed. The dominant poles of the original system are retained, followed by matching the steady state parts of the unit step responses of the original and reduced systems. Each element of the transfer function matrix of the original system is considered separately. The coefficients of the numerator polynomials of the elements of the reduced order system transfer function matrix are then determined by minimizing the Integral Square Error (ISE) between the transient parts of the unit step reponses. An example illustrates the method and the result is compared to another method.
Mathematics Subject Classification ID: 93C35
Mathematics Subject Classification ID: 93A15
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 4047532
zbMATH Keywords: linear multivariable system
zbMATH Keywords: matching
zbMATH Keywords: reduced systems
zbMATH Keywords: Integral Square Error
zbMATH Keywords: time-invariant
MaRDI profile type: Publication
full work available at URL: 0016-0032(88)90085-3
OpenAlex ID: W1984364465
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description: scientific article; zbMATH DE number 4047532