Identification of Hammerstein Systems using Triangular basis Functions

Abstract

A new identification method is proposed for Hammerstein systems in presence of dead zone input nonlinearities. To describe and identify the nonlinear system, a new decomposition technique using the triangular basis functions is employed. Then a parameterized model is derived to represent the entire system. The approximation by Triangular basis functions for the description of the static nonlinear block conducts to a linear regressive model, so parameter matrices characterizing the considered model can be estimated. After this stage, Singular Values Decomposition (SVD) technique has been applied to separate the coupled parameters of matrixes. The numerical simulation results illustrate that the proposed approach can be a promising tool for identifying Hammerstein systems with dead zone nonlinearities. General TermsModeling of nonlinear systems, Hammerstein systems, Triangular basis functions.