Modified Rate-dependent Hysteresis Modeling of Piezoelectric Actuator

A modified rate-dependent Prandtl-Ishlinskii (P-I) model with a hybrid structure is proposed to describe the hysteresis nonlinearity of piezoelectric (PZT). The traditional P-I model usually consists of a superposition of the weighted backlash operators and a superposition of the weighted dead-zone operators, which can be used to describe the hysteresis. Usually the modeling precision can be further improved by increasing the number of backlash operator or dead-zone operator, but this kind of method increases the response time of the model inevitably. The modified P-I model in this paper connects a cubic polynomial function with the traditional P-I model coordinately, compared with the previous way in improving modeling accuracy, this novel model shows higher precision, and lesser response time in same number of parameters. The parameter identification has been accomplished for the modified model, and in order to demonstrate its availability some experiments are performed.