Optimal model reduction by multipoint Padé approximation

T. Nigel Lucas

Research output: Contribution to journalArticle

  • 14 Citations

Abstract

A novel method of obtaining optimal reduced-order models of linear system transfer functions is presented. It uses the popular multipoint Padé approximation technique in an iterative way to generate efficiently the optimal models. Central to the method is a new way of calculating Padé approximants about many points by reducing them to equivalent Taylor series approximants. Optimal reduced-order models for impulse and step inputs are considered, and it is seen how the method may be extended to ramp and other polynomial inputs. Numerical examples are given to demonstrate the method.
Original languageEnglish
Pages (from-to)79-93
Number of pages15
JournalJournal of the Franklin Institute
Volume330
Issue number1
DOIs
StatePublished - Jan 1993

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Padé approximation
Reduced order model
Padé approximants
Model reduction
Taylor series
Impulse
Transfer function
Linear systems
Numerical examples
Polynomial
Demonstrate
Model
Transfer functions
Polynomials

Cite this

Lucas, T. Nigel / Optimal model reduction by multipoint Padé approximation.

In: Journal of the Franklin Institute, Vol. 330, No. 1, 01.1993, p. 79-93.

Research output: Contribution to journalArticle

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Optimal model reduction by multipoint Padé approximation. / Lucas, T. Nigel.

In: Journal of the Franklin Institute, Vol. 330, No. 1, 01.1993, p. 79-93.

Research output: Contribution to journalArticle

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