Mixed Preisach hysteresis model and its properties

It is difficult to find a suitable Preisach function in the Classical Preisach Model's (CPM) identification by the parametric strategy because the piezoceramics actuator has complex construction. To improve the modeling accuracy, this paper presented an average hysteresis model as compensation of the CPM. The Mixed Preisach Model (MPM) was obtained by the weight sum of the CPM and the average hysteresis model, and the weight parameter defined as hysteresis degree was used to describe the degree of the hysteresis nonlinearity. As the CPM was, the MPM had the wiping out and congruency properties, which gave the representation theorem. The neural network was applied to accomplish the identification of the MPM. Experimental results illustrated that the max predicted error of MPM reduces 1.20μm compared with the CPM and the two properties of the new model have been proven at the same time.