Modelling and control of piezoelectric actuators by a class of differential equations-based hysteresis models

Hysteresis is a fundamental problem in most smart material-based actuators. This phenomenon limits the performance of systems driven by these actuators. This paper presents a control fusion strategy for hysteretic piezoelectric-based actuators which are described by Bouc-Wen model. A discrete prescribed performance control algorithm is developed and fused into the BW model. To verify the effectiveness of the modelling and control methods, experiments are made on a commercial piezoelectric actuator product. It is shown that the proposed controller guarantees not only the asymptotic stability but also transient performance.