Journal
APPLIED MATHEMATICAL MODELLING
Volume 35, Issue 4, Pages 1969-1982Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2010.11.008
Keywords
System identification; Hammerstein model; Bezier-Bernstein polynomial functions; Levenberg-Marquart algorithm
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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.
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