Projection-based Continuous-time System Identification for Hammerstein-Wiener Systems

Abstract

This paper presents an approach to deal with the identification of continuous-time Hammerstein-Wiener systems, characterized by a series connection of static nonlinear elements and a linear dynamic element. The static nonlinear elements are a sum of known basis functions and the linear dynamic element is a parametric rational transfer function. The proposed method is based on the projection of input-output data onto the finite dimensional parameter space whose basis is determined by the structure of an overparameterized representation of the Hammerstein-Wiener model. Simulation results show the effectiveness of the proposed continuous-time identification method.