Identification of Hammerstein Systems with Two-Segment Preload Nonlinearity Based on the Gradient Search

Abstract:

This paper deals with the parameter identication problem for Hammerstein systems with two-segment preload nonlinearity. Taking into account the complexity of Hammerstein systems, we use theWeierstrass approximation theorem to convert a Hammerstein system into a special form that has linear-in-parameters, and propose a stochastic gradient algorithm to estimate all unknown parameters of Hammerstein systems. Furthermore, a modified stochastic gradient algorithm is given to improve the convergence rate. The applicability of the approach is illustrated by a simulation example.

• Periodical: Applied Mechanics and Materials (Volumes 651-653)
• Pages: 2314-2317
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.651-653.2314
• Online since: September 2014
• Authors: Hong Fen Zou*
• Keywords: Hammerstein System, Parameter Estimation, Stochastic Gradient, Two-Segment Preload Nonlinearity, Weierstrass Approximation Theorem

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