Modeling Hysteresis Inverse in Piezoelectric Actuators Based on Inverse Hysteretic Operator

In order to improve the performance of the system with piezoelectric actuators, one of the approaches is to construct an inverse model of the hysteresis to cascade with the actuator so as to compensate for the effect of hysteresis involved in the piezoelectric actuators. In this paper, a neural networks based inverse model for the hysteresis is proposed. In this scheme, an inverse hysteretic operator is proposed to transform the multi-valued mapping of the inverse hysteresis into a kind of one-to-one mapping so that the neural networks are capable of implementing identification for the hysteresis inverse.