Suboptimal model reduction by multi‐point Padé approximation

T. Nigel Lucas

Research output: Contribution to journalArticle

  • 2 Citations

Abstract

A novel Padé approximation method is used to obtain a reduced-order transfer function, with a predetermined denominator, such that the integral square error between the time responses of the full and reduced models is minimized. The method is seen to be easy to apply compared with existing suboptimal order reduction methods. A numerical example is given to illustrate its application.
Original languageEnglish
Pages (from-to)131-134
JournalProceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering
Volume208
Issue number2
DOIs
StatePublished - 1 May 1994

Fingerprint

Padé approximation
Order reduction
Reduced model
Model reduction
Denominator
Reduction method
Approximation methods
Transfer function
Response time
Numerical examples

Cite this

Lucas, T. Nigel / Suboptimal model reduction by multi‐point Padé approximation.

In: Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, Vol. 208, No. 2, 01.05.1994, p. 131-134.

Research output: Contribution to journalArticle

@article{d3099f007c064b7692623b85ddb3b9dc,
title = "Suboptimal model reduction by multi‐point Padé approximation",
abstract = "A novel Padé approximation method is used to obtain a reduced-order transfer function, with a predetermined denominator, such that the integral square error between the time responses of the full and reduced models is minimized. The method is seen to be easy to apply compared with existing suboptimal order reduction methods. A numerical example is given to illustrate its application.",
author = "Lucas, {T. Nigel}",
year = "1994",
month = "5",
doi = "10.1243/PIME_PROC_1994_208_317_02",
volume = "208",
pages = "131--134",
journal = "Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering",
issn = "0959-6518",
number = "2",

}

Suboptimal model reduction by multi‐point Padé approximation. / Lucas, T. Nigel.

In: Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, Vol. 208, No. 2, 01.05.1994, p. 131-134.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Suboptimal model reduction by multi‐point Padé approximation

AU - Lucas,T. Nigel

PY - 1994/5/1

Y1 - 1994/5/1

N2 - A novel Padé approximation method is used to obtain a reduced-order transfer function, with a predetermined denominator, such that the integral square error between the time responses of the full and reduced models is minimized. The method is seen to be easy to apply compared with existing suboptimal order reduction methods. A numerical example is given to illustrate its application.

AB - A novel Padé approximation method is used to obtain a reduced-order transfer function, with a predetermined denominator, such that the integral square error between the time responses of the full and reduced models is minimized. The method is seen to be easy to apply compared with existing suboptimal order reduction methods. A numerical example is given to illustrate its application.

U2 - 10.1243/PIME_PROC_1994_208_317_02

DO - 10.1243/PIME_PROC_1994_208_317_02

M3 - Article

VL - 208

SP - 131

EP - 134

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 -