Sub-optimal discrete model reduction by multipoint Padé approximation

T. Nigel Lucas

Research output: Contribution to journalArticle

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Abstract

A multipoint Padé approximation method is presented for obtaining a reduced order z-transfer function, with a pre-determined denominator, such that the square-error-sum of time responses between the full and reduced models is minimized. An extension of the method to matching the initial time response values for impulse and step inputs is also given. The method and its extension are seen to be easy to apply and are very amenable to use on modern computer algebra systems, consisting entirely of simple matrix operations. Numerical examples are given to illustrate the application of the technique.
Original languageEnglish
Pages (from-to)57-69
Number of pages13
JournalJournal of the Franklin Institute
Volume333
Issue number1
DOIs
StatePublished - Jan 1996

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Padé approximation
Response time
Computer algebra system
Reduced model
Model reduction
Denominator
Discrete model
Approximation methods
Impulse
Transfer function
Numerical examples
Algebra
Transfer functions

Cite this

Lucas, T. Nigel / Sub-optimal discrete model reduction by multipoint Padé approximation.

In: Journal of the Franklin Institute, Vol. 333, No. 1, 01.1996, p. 57-69.

Research output: Contribution to journalArticle

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Sub-optimal discrete model reduction by multipoint Padé approximation. / Lucas, T. Nigel.

In: Journal of the Franklin Institute, Vol. 333, No. 1, 01.1996, p. 57-69.

Research output: Contribution to journalArticle

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