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

• Autorzy: Śliwiński P. , Hasiewicz Z. , Wachel P.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

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

PL

system Hammersteina; identyfikacja rekurencyjna nieparametryczna; analiza zbieżności; stateczność numeryczna

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2013
• Tom: Vol. 23, no. 3
• Strony: 507--520
• Opis fizyczny: Bibliogr. 50 poz., rys., tab., wykr.

Twórcy

autor

Śliwiński P.

• Institute of Computer Engineering, Control and Robotics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, Wrocław, Poland

autor

Hasiewicz Z.

• Institute of Computer Engineering, Control and Robotics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, Wrocław, Poland

autor

Wachel P.

• Institute of Computer Engineering, Control and Robotics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, Wrocław, Poland

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