ON THE HERMITE SERIES APPROACH TO NONPARAMETRIC IDENTIFICATION OF HAMMERSTEIN SYSTEMS

Nonlinear dynamic systems of Hammerstein type are identified from input and output measurements. Identification algorithms for a memoryless nonlinear part and for a linear dynamic part are proposed. Convergence and rates of convergence of the algorithms are investigated. The class of nonlinearities considered in the paper is very large and cannot be parameterized therefore nonparametric approach is used. The performance of identification algorithms is studied in simulation experiments.