Abstract
This paper derives an iterative algorithm for identifying a fractional Hammerstein non-linear system. Such system consists of a static non-linear block followed by a linear dynamic part. The proposed approach uses the hierarchical identification principle based on Levenberg-Marquardt algorithm and is able to estimate the parameters of both the linear part and the nonlinear part as well as the fractional order of the Hammerstein system. The simulations for different signal to noise ratios show the efficiency of the proposed algorithm.