A unifying theory of least‐squares Padé model reduction methods

I. D. Smith, T. Nigel Lucas

Research output: Contribution to journal › Article

5 Citations (Scopus)

Abstract

The apparently different approaches of least-squares parameter-matching Podé model reduction methods are shown to be related via a unifying theory. From the formulation it is possible to show several interesting features of the least-squares approach which lead to a fuller understanding of exactly how the reduced model approximates the system. An error index is derived for the general case and it is shown that a range of system parameter preservation options are available to the user. A numerical example illustrates the main points of the paper.
Original languageEnglish
Pages (from-to)95-102
JournalProceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering
Volume210
Issue number2
DOIs
Publication statusPublished - 1 May 1996

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Smith, I. D. ; Lucas, T. Nigel. / A unifying theory of least‐squares Padé model reduction methods. In: Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering. 1996 ; Vol. 210, No. 2. pp. 95-102.
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Smith, ID & Lucas, TN 1996, 'A unifying theory of least‐squares Padé model reduction methods', Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, vol. 210, no. 2, pp. 95-102. https://doi.org/10.1243/PIME_PROC_1996_210_442_02

A unifying theory of least‐squares Padé model reduction methods. / Smith, I. D.; Lucas, T. Nigel.

In: Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, Vol. 210, No. 2, 01.05.1996, p. 95-102.

Research output: Contribution to journal › Article

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AU - Smith, I. D.

AU - Lucas, T. Nigel

PY - 1996/5/1

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AB - The apparently different approaches of least-squares parameter-matching Podé model reduction methods are shown to be related via a unifying theory. From the formulation it is possible to show several interesting features of the least-squares approach which lead to a fuller understanding of exactly how the reduced model approximates the system. An error index is derived for the general case and it is shown that a range of system parameter preservation options are available to the user. A numerical example illustrates the main points of the paper.

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DO - 10.1243/PIME_PROC_1996_210_442_02

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JO - 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

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Smith ID, Lucas TN. A unifying theory of least‐squares Padé model reduction methods. Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering. 1996 May 1;210(2):95-102. https://doi.org/10.1243/PIME_PROC_1996_210_442_02

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