A simple scheme for semi-recursive identification of Hammerstein system nonlinearity by Haar wavelets

Przemysław Śliwiński; Zygmunt Hasiewicz; Paweł Wachel

International Journal of Applied Mathematics and Computer Science (2013)

  • Volume: 23, Issue: 3, page 507-520
  • ISSN: 1641-876X

Abstract

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A simple semi-recursive routine for nonlinearity recovery in Hammerstein systems is proposed. The identification scheme is based on the Haar wavelet kernel and possesses a simple and compact form. The convergence of the algorithm is established and the asymptotic rate of convergence (independent of the input density smoothness) is shown for piecewiseLipschitz nonlinearities. The numerical stability of the algorithm is verified. Simulation experiments for a small and moderate number of input-output data are presented and discussed to illustrate the applicability of the routine.

How to cite

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Przemysław Śliwiński, Zygmunt Hasiewicz, and Paweł Wachel. "A simple scheme for semi-recursive identification of Hammerstein system nonlinearity by Haar wavelets." International Journal of Applied Mathematics and Computer Science 23.3 (2013): 507-520. <http://eudml.org/doc/262383>.

@article{PrzemysławŚliwiński2013,
abstract = {A simple semi-recursive routine for nonlinearity recovery in Hammerstein systems is proposed. The identification scheme is based on the Haar wavelet kernel and possesses a simple and compact form. The convergence of the algorithm is established and the asymptotic rate of convergence (independent of the input density smoothness) is shown for piecewiseLipschitz nonlinearities. The numerical stability of the algorithm is verified. Simulation experiments for a small and moderate number of input-output data are presented and discussed to illustrate the applicability of the routine.},
author = {Przemysław Śliwiński, Zygmunt Hasiewicz, Paweł Wachel},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {Hammerstein system; non-parametric recursive identification; Haar orthogonal expansion; convergence analysis; numerical stability},
language = {eng},
number = {3},
pages = {507-520},
title = {A simple scheme for semi-recursive identification of Hammerstein system nonlinearity by Haar wavelets},
url = {http://eudml.org/doc/262383},
volume = {23},
year = {2013},
}

TY - JOUR
AU - Przemysław Śliwiński
AU - Zygmunt Hasiewicz
AU - Paweł Wachel
TI - A simple scheme for semi-recursive identification of Hammerstein system nonlinearity by Haar wavelets
JO - International Journal of Applied Mathematics and Computer Science
PY - 2013
VL - 23
IS - 3
SP - 507
EP - 520
AB - A simple semi-recursive routine for nonlinearity recovery in Hammerstein systems is proposed. The identification scheme is based on the Haar wavelet kernel and possesses a simple and compact form. The convergence of the algorithm is established and the asymptotic rate of convergence (independent of the input density smoothness) is shown for piecewiseLipschitz nonlinearities. The numerical stability of the algorithm is verified. Simulation experiments for a small and moderate number of input-output data are presented and discussed to illustrate the applicability of the routine.
LA - eng
KW - Hammerstein system; non-parametric recursive identification; Haar orthogonal expansion; convergence analysis; numerical stability
UR - http://eudml.org/doc/262383
ER -

References

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