Identification of Wiener-Hammerstein nonlinear systems with backlash operators

In this paper, a new identification method is developed for Wiener-Hammerstein systems that contain memory nonlinearity of backlash type. The latter is flanked by two linear transfer functions that may be parametric or not. The proposed identification method is carried out in two stages. Firstly, the parameters (the lateral borders) of memory operator are identified using a set of constant inputs. In the second stage, an identification method based on Fourier analysis is developed to determine the frequency responses of both transfer functions. The performances of the proposed identification method are highlighted by simulation results. Finally, experimental application has been established to show the effectiveness of this method.