Enhancement of the least-squares Padé method for discrete systems

T. Nigel Lucas

Research output: Contribution to journalArticle

Abstract

The least-squares Padé method for discrete system order reduction is further enhanced. First, it is shown how the method may be extended to produce true least-squares approximations between the time responses of the full and reduced models. Second, it is shown how different stable reduced degree denominator polynomials can be generated from subsets of the system Markov parameters. Examples are given to illustrate these enhancements to the method.
Original languageEnglish
Pages (from-to)139-148
Number of pages10
JournalProceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering
Volume214
Issue number2
DOIs
StatePublished - 1 Mar 2000

Fingerprint

Discrete systems
Least squares
Enhancement
Least squares approximation
Order reduction
Reduced model
Denominator
Response time
Polynomial
Subset

Cite this

Lucas, T. Nigel / Enhancement of the least-squares Padé method for discrete systems.

In: Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering, Vol. 214, No. 2, 01.03.2000, p. 139-148.

Research output: Contribution to journalArticle

@article{ff747d08d0dd45e19633aeece5743595,
title = "Enhancement of the least-squares Padé method for discrete systems",
abstract = "The least-squares Padé method for discrete system order reduction is further enhanced. First, it is shown how the method may be extended to produce true least-squares approximations between the time responses of the full and reduced models. Second, it is shown how different stable reduced degree denominator polynomials can be generated from subsets of the system Markov parameters. Examples are given to illustrate these enhancements to the method.",
author = "Lucas, {T. Nigel}",
year = "2000",
month = "3",
doi = "10.1243/0959651001540861",
volume = "214",
pages = "139--148",
journal = "Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering",
issn = "0959-6518",
publisher = "SAGE Publications Ltd",
number = "2",

}

Enhancement of the least-squares Padé method for discrete systems. / Lucas, T. Nigel.

In: Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering, Vol. 214, No. 2, 01.03.2000, p. 139-148.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Enhancement of the least-squares Padé method for discrete systems

AU - Lucas,T. Nigel

PY - 2000/3/1

Y1 - 2000/3/1

N2 - The least-squares Padé method for discrete system order reduction is further enhanced. First, it is shown how the method may be extended to produce true least-squares approximations between the time responses of the full and reduced models. Second, it is shown how different stable reduced degree denominator polynomials can be generated from subsets of the system Markov parameters. Examples are given to illustrate these enhancements to the method.

AB - The least-squares Padé method for discrete system order reduction is further enhanced. First, it is shown how the method may be extended to produce true least-squares approximations between the time responses of the full and reduced models. Second, it is shown how different stable reduced degree denominator polynomials can be generated from subsets of the system Markov parameters. Examples are given to illustrate these enhancements to the method.

U2 - 10.1243/0959651001540861

DO - 10.1243/0959651001540861

M3 - Article

VL - 214

SP - 139

EP - 148

JO - Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering

T2 - Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering

JF - Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering

SN - 0959-6518

IS - 2

ER -