Creator:

Śliwiński, Przemysław ; Hasiewicz, Zygmunt ; Wachel, Paweł

Contributor:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Title:

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

Group publication title:

AMCS, Volume 23 (2013)

Subject and Keywords:

Hammerstein systems ; non-parametric recursive identification ; Haar orthogonal expansion ; convergence analysis ; numerical stability

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 piecewise-Lipschitz 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.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2013

Resource Type:

artykuł

DOI:

10.2478/amcs-2013-0039

Pages:

507-520

Source:

AMCS, volume 23, number 3 (2013)

Language:

eng

Rights:

Biblioteka Uniwersytetu Zielonogórskiego