New matrix method for multipoint Padé approximation of transfer functions

T. Nigel Lucas

Research output: Contribution to journal › Article

3 Citations (Scopus)

Abstract

A new way of formulating a multipoint Padé approximant of a linear system transfer function is given. It is seen to be very flexible and computationally efficient. The expansion points can be a mixture of real, complex, purely imaginary and multiple points with no complex arithmetic required. The underlying idea of the method is to convert the rational approximation problem into one of polynomial approximation. This results in simple matrix multiplications and the solution of a set of linear equations to derive the reduced model. Examples are given to demonstrate the application of the technique.
Original languageEnglish
Pages (from-to)809-818
Number of pages10
JournalInternational Journal of Systems Science
Volume24
Issue number5
DOIs
Publication statusPublished - 1993

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Polynomial approximation
Matrix Method
Linear equations
Transfer Function
Transfer functions
Linear systems
Matrix multiplication
Reduced Model
Rational Approximation
Approximation Problem
Polynomial Approximation
Approximation
Convert
Linear equation
Linear Systems
Demonstrate

Cite this

Lucas, T. Nigel. / New matrix method for multipoint Padé approximation of transfer functions. In: International Journal of Systems Science. 1993 ; Vol. 24, No. 5. pp. 809-818.
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Lucas, TN 1993, 'New matrix method for multipoint Padé approximation of transfer functions', International Journal of Systems Science, vol. 24, no. 5, pp. 809-818. https://doi.org/10.1080/00207729308949525

New matrix method for multipoint Padé approximation of transfer functions. / Lucas, T. Nigel.

In: International Journal of Systems Science, Vol. 24, No. 5, 1993, p. 809-818.

Research output: Contribution to journal › Article

TY - JOUR

T1 - New matrix method for multipoint Padé approximation of transfer functions

AU - Lucas, T. Nigel

PY - 1993

Y1 - 1993

N2 - A new way of formulating a multipoint Padé approximant of a linear system transfer function is given. It is seen to be very flexible and computationally efficient. The expansion points can be a mixture of real, complex, purely imaginary and multiple points with no complex arithmetic required. The underlying idea of the method is to convert the rational approximation problem into one of polynomial approximation. This results in simple matrix multiplications and the solution of a set of linear equations to derive the reduced model. Examples are given to demonstrate the application of the technique.

AB - A new way of formulating a multipoint Padé approximant of a linear system transfer function is given. It is seen to be very flexible and computationally efficient. The expansion points can be a mixture of real, complex, purely imaginary and multiple points with no complex arithmetic required. The underlying idea of the method is to convert the rational approximation problem into one of polynomial approximation. This results in simple matrix multiplications and the solution of a set of linear equations to derive the reduced model. Examples are given to demonstrate the application of the technique.

U2 - 10.1080/00207729308949525

DO - 10.1080/00207729308949525

M3 - Article

VL - 24

SP - 809

EP - 818

JO - International Journal of Systems Science

JF - International Journal of Systems Science

SN - 0020-7721

IS - 5

ER -

Lucas TN. New matrix method for multipoint Padé approximation of transfer functions. International Journal of Systems Science. 1993;24(5):809-818. https://doi.org/10.1080/00207729308949525

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