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.
@article{bwmeta1.element.bwnjournal-article-amcv23z3p507bwm,
author = {Przemys\l aw \'Sliwi\'nski and Zygmunt Hasiewicz and Pawe\l\ Wachel},
title = {A simple scheme for semi-recursive identification of Hammerstein system nonlinearity by Haar wavelets},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {23},
year = {2013},
pages = {507-520},
zbl = {1279.93041},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv23z3p507bwm}
}
Przemysław Śliwiński; Zygmunt Hasiewicz; Paweł Wachel. A simple scheme for semi-recursive identification of Hammerstein system nonlinearity by Haar wavelets. International Journal of Applied Mathematics and Computer Science, Tome 23 (2013) pp. 507-520. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv23z3p507bwm/
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