Adaptive inverse of Preisach model and real-time hysteresis compensation control of piezoelectric actuators

The inherent hysteresis nonlinearity of piezoelectric actuators limits the accuracy of micro-precision positioning system. Preisach model can describe the hysteresis of piezoelectric actuators, but its computational complexity limits its control application. Due to the flipped upper triangle matrix of weight parameters, a matrix reconstruction method is developed and the adaptive inverse of Preisach model is proposed to update the weight parameters in real-time hysteresis compensation control. Incorporated with the model calculation, the adaptive inverse algorithm is developed in LabVIEW software. The relationship between control accuracy and Relay operator number is analyzed in different control situation. Comparing the control with and without model, the displacement error is reduced by 61.56% with static inverse Preisach model and reduced by 92.44% with adaptive inverse of Preisach model. Experimental results show that the displacement error is attenuated with the number of Relay operators, which is reduced to 20 µm with 5050 operators. The adaptive inverse of Preisach model effectively compensate the hysteresis of piezoelectric actuators, which potentially indicates the application to improve the control performance of piezoelectric actuator system.