A new model of hysteresis in piezoelectric actuators

Piezoelectric actuators (PEAs) are widely used in micromanipulations for their high-accuracy positioning, fast response, and high mechanical stiffness. However, dynamic nonlinearity introduced by hysteresis phenomena causes system instability and positioning errors. In this paper, a new simple physical model is proposed to characterize the symmetric and asymmetric rate-dependent hysteresis. A nonlinear spring (or capacitor) element is incorporated into a second-order system to predict the relationship between a sinusoidal input state and a hysteric output. A comparison between the proposed model and Bouc-Wen model is given. The proposed hysteresis model is also verified experimentally. Based on this approach, a new piezoelectric actuator model is established.