Enhancement of the least-squares Padé method for discrete systems

T. Nigel Lucas

doi:10.1243/0959651001540861

Enhancement of the least-squares Padé method for discrete systems

T. Nigel Lucas

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

2 Citations (Scopus)

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 language	English
Pages (from-to)	139-148
Number of pages	10
Journal	Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering
Volume	214
Issue number	2
DOIs	https://doi.org/10.1243/0959651001540861
Publication status	Published - 1 Mar 2000

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abstract = "The least-squares Pad{\'e} 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.",

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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.

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DO - 10.1243/0959651001540861

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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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