Modeling of Dynamic Systems With Hysteresis Using Predictive Gradient-Based Method

A new modeling method of dynamic systems with rate-dependent hysteresis is proposed in this paper. In this method, a hysteresis model with simple exponential structure is proposed to describe the features of rate-dependent hysteresis. Subsequently, the properties of the proposed hysteresis model are analyzed. Then, a Hammerstein model embedded with the proposed hysteresis model is established to describe the behavior of dynamic systems with rate-dependent hysteresis. Afterward, a predictive gradient-based modeling method is proposed to determine the parameters of the new model. In addition, the convergence analysis of the predictive gradient based modeling method is analyzed. Then, the proposed identification method is applied to modeling of electromagnetic scanning micromirror chips. Finally, the comparison between the proposed novel modeling scheme and other typical nonlinear modeling methods is illustrated.