Identification of multiple-input single-output Hammerstein models using Bezier curves and Bernstein polynomials

This paper considers the implementation of Bezier-Bernstein polynomials and the Levenberg-Marquart algorithm for identifying multiple-input single-output (MISO) Hammerstein models consisting of nonlinear static functions followed by a linear dynamical subsystem. The nonlinear static functions are approximated by the means of Bezier curves and Bernstein basis functions. The identification method is based on a hybrid scheme including the inverse de Casteljau algorithm, the least squares method, and the Levenberg-Marquart (LM) algorithm. Furthermore, results based on the proposed scheme are given which demonstrate substantial identification performance. (C) 2010 Elsevier Inc. All rights reserved.