Non-linear compensation and displacement control of the bias-rate-dependent hysteresis of a magnetostrictive actuator

Magnetostrictive actuators invariably exhibit bias-rate-dependent hysteresis, which could cause vibration and error in the micro-positioning control. We present a methodology for linearization control for the hysteresis of a magnetostrictive actuator with a wide range of input rates and biases. The hysteresis compensation is attained through application of a dynamic Bouc-Wen model and experimental measured hysteresis properties of the magnetostrictive actuator under inputs with different frequencies and biases. The effectiveness of the compensator for hysteresis is demonstrated through experimental results of the magnetostrictive actuator under inputs at different frequencies and bias levels. Based on the proposed compensator, a displacement PID controller is applied to force the output displacement of the magnetostrictive actuator to track the desired displacement accurately thereafter. The maximum absolute tracking errors is 0.052 μm. Compared to the control results without the compensator, the compensator can reduce the control error by about 85%. The results indicate that this study provides an effective method which can compensate the hysteresis of the magnetostrictive actuator under different frequencies and biases of inputs.