Frequency domain identification of Hammerstein models

This paper discusses Hammerstein model identification in frequency domain using the sampled input-output data. By exploring the fundamental frequency and harmonics generated by the unknown nonlinearity, we propose a frequency domain approach and show its convergence for both the linear and nonlinear subsystems in the presence of noise. No a priori knowledge of the structure of the nonlinearity is required and the linear part can be non-parametric.

[1]  J. Schoukens,et al.  First estimates of Wiener and Hammerstein systems using multisine excitation , 2001, IMTC 2001. Proceedings of the 18th IEEE Instrumentation and Measurement Technology Conference. Rediscovering Measurement in the Age of Informatics (Cat. No.01CH 37188).

[2]  K. Narendra,et al.  An iterative method for the identification of nonlinear systems using a Hammerstein model , 1966 .

[3]  E. C. Levy.  Complex-curve fitting , 1959, IRE Transactions on Automatic Control.

[4]  W. Rugh,et al.  Complete identification of a class of nonlinear systems from steady-state frequency response , 1975 .

[5]  Adam Krzyzak,et al.  On nonparametric estimation of nonlinear dynamic systems by the Fourier series estimate , 1996, Signal Process..