Abstract: Objetive: In order to overcome the significant impact of hysteresis on positioning precision when giant magnetostrictive material actuator applied for fine positioning

under the condition of the hysteresis compensation

adaptive PID control method is studied and a fuzzy PID control method based on generalized minimum variance （GMV）principle （GMV-Fuzzy PID） is established. Method : First

the main idea of generalized minimum variance principle is introduced and the relation between parameters of PID controller and plant parameters is derived. Then

according to above relationship

fuzzy rules

with error E and error variation EC as input and the parameter of k in above relation as output

is setup. Finally

combining the real-time identification of plant parameters in adaptive mechanism with the output of GMV-Fuzzy controller

PID parameters are reached to fulfill displacement control for GMA. Result: Experimental results indicate that GMV-Fuzzy PID controller can shorten the consuming time of each execution step by 0.0154 s

and RMS of tracking error only reduce 0.036μm

comparing with fuzzy PID controller. Conclusion: It can overcome the impact of inaccurate hysteresis and system modeling or disturbance

improve real-time ability without the expense of precision.