The extended Bouc-Wen model with structural element and its application to the compensation of rate-dependent hysteresis of a piezoelectric actuator

Abstract

This paper proposes the extended Bouc-Wen model to capture the hysteretic behavior of the piezoelectric actuator. The proposed model adds additional terms to the basic Bouc-Wen model to explain the behaviors commonly observed with the thin piezoelectric actuators which include the rate-dependence, asymmetric loop formation and the phase lag. Remaining part of the paper is devoted to the synthesis of the hysteresis compensator using the proposed model. It has been shown through the experimental results that the identified model provides good modeling accuracy and high control performance as well, as compared to the results obtained with the classical Bouc-Wen model.