Abstract
This paper presents a method of identifying closed-loop Hammerstein-Wiener systems, where a linear plant in the forward loop is stable or semi-stable. In the framework of the direct approach [17], an output error (OE) model is derived with the help of basis function expansions of nonlinearities. First an approximate linear state space model of the forward loop is identified using a subspace identification method. Then, initialized by the identified linear model, the mean square of the output error is optimized by using a gradient-based search. Some numerical results are included to show the applicability of the proposed method.