The hysteresis nonlinearity of the piezoceramic actuator can not satisfy the congruency property of the classical Preisach model so that the modeling error is large when applying the classical Preisach model to the piezoceramic actuator. In order to improve the accuracy in hysteresis modeling of the piezoceramic actuator

the generalized nonlinear Preisach model and its new numerical implementation based on the nonlinear Preisach model with some modifications are presented. The new model has equal vertical chord property of minor loops to relax the congruency property of the classical Preisach model.Experimental results show that the maximum of the absolute error predicted by the generalized nonlinearity Preisach model reduces 0.22 μm and the root mean square error reduces 0.11 μm compared to the classical Preisach model. The generalized nonlinear Preisach model can describe the hysteresis of the piezoceramic actuator more accurately.