A new hysteresis identification model using a diagonal-weighted Preisach model and recursive approach with application to piezostack actuators

Abstract

This article presents a new hysteresis model of a piezostack actuator which is designed from the modification of the conventional Preisach hysteresis model. The proposed model which is called diagonal-weighted Preisach model is featured by weights of fundamental elements constituting triangles just along their own diagonal. With such an approach, there is no discontinuous jump at two consecutive elements in the Preisach triangle. Consequently, there is no need to adopt any further interpolation tool. In this work, a recursive approach with a simple computation associated with the proposed model is also developed. It is noted that in order to implement the proposed model, weights of fundamental elements must be obtained in prior. In order to demonstrate some characteristics of the proposed model, the prediction accuracy of the hysteresis is investigated based on the discretized number and compared with the conventional Preisach model. In addition, the proposed model is experimentally realized for the piezostack actuator and the identified displacement from the proposed model is compared with the actual one to validate the effectiveness.