Discrete-time least-squares Padé order reduction: a stability preserving method

T. Nigel Lucas; I. D. Smith

doi:10.1243/0959651981539280

Discrete-time least-squares Padé order reduction: a stability preserving method

T. Nigel Lucas, I. D. Smith

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

A new stability preservation property is proved for the least-squares Padé order reduction method when applied to discrete-time systems. It is shown that the property depends on which free reduced model parameter is chosen to be unity. Clarification is also given on how the system is actually approximated using this method. An example illustrates the enhanced appeal of the method as a result of the stability preservation property.

Original language	English
Pages (from-to)	49-56
Number of pages	8
Journal	Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering
Volume	212
Issue number	1
DOIs	https://doi.org/10.1243/0959651981539280
Publication status	Published - Feb 1998

Keywords

Padé approximation
Order reduction
Least-squares methods
Discrete-time systems

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abstract = "A new stability preservation property is proved for the least-squares Pad{\'e} order reduction method when applied to discrete-time systems. It is shown that the property depends on which free reduced model parameter is chosen to be unity. Clarification is also given on how the system is actually approximated using this method. An example illustrates the enhanced appeal of the method as a result of the stability preservation property.",

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AB - A new stability preservation property is proved for the least-squares Padé order reduction method when applied to discrete-time systems. It is shown that the property depends on which free reduced model parameter is chosen to be unity. Clarification is also given on how the system is actually approximated using this method. An example illustrates the enhanced appeal of the method as a result of the stability preservation property.

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DO - 10.1243/0959651981539280

M3 - Article

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

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Discrete-time least-squares Padé order reduction: a stability preserving method

Abstract

Keywords

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