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On the Identification of Wiener Systems Having Saturation-like Functions with Positive Slopes
Volume 16, Issue 1 (2005), pp. 131–144
Rimantas Pupeikis  

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https://doi.org/10.15388/Informatica.2005.089
Pub. online: 5 August 2022      Type: Research Article      Open accessOpen Access

Received
1 May 2004
Published
5 August 2022

Abstract

The aim of the given paper is the development of an approach for parametric identification of Wiener systems with piecewise linear nonlinearities, i.e., when the linear part with unknown parameters is followed by a saturation-like function with unknown slopes. It is shown here that by a simple data reordering and by a following data partition the problem of identification of a nonlinear Wiener system could be reduced to a linear parametric estimation problem. Afterwards, estimates of the unknown parameters of linear regression models are calculated by processing respective particles of input-output data. A technique based on ordinary least squares (LS) is proposed here for the estimation of parameters of linear and nonlinear parts of the Wiener system, including the unknown threshold of piecewise nonlinearity, too. The results of numerical simulation and identification obtained by processing observations of input-output signals of a discrete-time Wiener system with a piecewise nonlinearity by computer are given.

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© 2005 Institute of Mathematics and Informatics, Vilnius
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Open access article under the CC BY license.

Keywords
nonlinear systems system identification Wiener systems parameter estimation

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INFORMATICA

  • Online ISSN: 1822-8844
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