Abstract

This paper deals with the recursive parameter identification of the Hammerstein ARMAX (HARMAX) model with General model of discontinuous and asymmetric Nonlinearity (GNL) containing hysteresis, saturation, preload and dead-zone. This model contains different parameters the choice of which may generate several different nonlinearities. The linear and nonlinear structures are known, the linear block parameters are unknown. However the nonlinear block contains nine parameters only one of them is known. The estimation of the nonlinearity parameters, the internal variables relative to the nonlinearity as well as the linear model parameters are ensured by Recursive Extended Least Squares algorithm (RELS). The provided model is validated by simulation results.

Key words: Identification, discontinuous general nonlinearity, HARMAX model, parameter estimation, RELS algorithm.

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