Parameter reduction of SISO Wiener-Schetzen models

Koen Tiels; Peter S.c. Heuberger; Joannes Schoukens

Abstract

The class of Wiener-Schetzen models can describe a large variety of nonlinear systems. The dynamical part of these models is formulated in terms of orthonormal basis functions (OBFs), while the nonlinearity is modeled through a multivariate polynomial. The parameters of the model are the coefficients of this polynomial. Generally, this polynomial contains a relatively large number of significant terms, resulting in a large number of parameters. This abstract is based on [1].

[1] K. Tiels, P.S.C. Heuberger, and J. Schoukens, "Reducing the number of parameters in a Wiener-Schetzen model," submitted for presentation at the 16th IFAC Symp. Syst. Identification, Brussels, Belgium, 2012.

Original language	English
Title of host publication	31th Benelux Meeting on Systems and Control, March 27-29 2012, CenterParcs Heijderbos, Heijden, The Netherlands
Publication status	Published - 27 Mar 2012

Keywords

SISO Wiener-Schetzen models

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title = "Parameter reduction of SISO Wiener-Schetzen models",

abstract = "The class of Wiener-Schetzen models can describe a large variety of nonlinear systems. The dynamical part of these models is formulated in terms of orthonormal basis functions (OBFs), while the nonlinearity is modeled through a multivariate polynomial. The parameters of the model are the coefficients of this polynomial. Generally, this polynomial contains a relatively large number of significant terms, resulting in a large number of parameters. This abstract is based on [1]. [1] K. Tiels, P.S.C. Heuberger, and J. Schoukens, {"}Reducing the number of parameters in a Wiener-Schetzen model,{"} submitted for presentation at the 16th IFAC Symp. Syst. Identification, Brussels, Belgium, 2012.",

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T1 - Parameter reduction of SISO Wiener-Schetzen models

AU - Tiels, Koen

AU - Heuberger, Peter S.c.

AU - Schoukens, Joannes

PY - 2012/3/27

Y1 - 2012/3/27

N2 - The class of Wiener-Schetzen models can describe a large variety of nonlinear systems. The dynamical part of these models is formulated in terms of orthonormal basis functions (OBFs), while the nonlinearity is modeled through a multivariate polynomial. The parameters of the model are the coefficients of this polynomial. Generally, this polynomial contains a relatively large number of significant terms, resulting in a large number of parameters. This abstract is based on [1]. [1] K. Tiels, P.S.C. Heuberger, and J. Schoukens, "Reducing the number of parameters in a Wiener-Schetzen model," submitted for presentation at the 16th IFAC Symp. Syst. Identification, Brussels, Belgium, 2012.

AB - The class of Wiener-Schetzen models can describe a large variety of nonlinear systems. The dynamical part of these models is formulated in terms of orthonormal basis functions (OBFs), while the nonlinearity is modeled through a multivariate polynomial. The parameters of the model are the coefficients of this polynomial. Generally, this polynomial contains a relatively large number of significant terms, resulting in a large number of parameters. This abstract is based on [1]. [1] K. Tiels, P.S.C. Heuberger, and J. Schoukens, "Reducing the number of parameters in a Wiener-Schetzen model," submitted for presentation at the 16th IFAC Symp. Syst. Identification, Brussels, Belgium, 2012.

KW - SISO Wiener-Schetzen models

M3 - Meeting abstract (Book)

SN - 978-94-6173-317-7

BT - 31th Benelux Meeting on Systems and Control, March 27-29 2012, CenterParcs Heijderbos, Heijden, The Netherlands

ER -

Parameter reduction of SISO Wiener-Schetzen models

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Keywords

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