Modeling Hysteresis of the Piezoactuators with Prandtl-Ishlinskii Model

The proposed approach is to design a feedforward controller for piezoelectric motion platform. A Prandtl-Ishlinskii(PI) hysteresis model is proposed for the hysteresis behavior of piezoelectric actuators. This model is more mathematically simple when compared to Preisach operator. The PI operator is more efficient phenomenological fit as it is a first order gradient, rather than a step change. The weights of main hysteresis loop are identified by using LMS(LeastMean-Square) algorithm. An inverse feedforward controller is to cascade the inverse PI operator with the actual hysteresis, which is to linearize the hysteresis response. The effectiveness of the proposed method is demonstrated through experimental.