Piezoelectric actuators are widely employed in nanopositioning applications. The main drawback of piezoelectric actuator is the hysteresis characteristics. This paper presents the precision control of the output displacement for a piezoelectric actuator through fuzzy feedback control combined with inverse model-based feedforward compensation. Firstly, the Preisach model is established to describe the hysteresis of piezoelectric actuator. Then, a feedforward compensator is designed using an input correction iteration algorithm. Afterwards, three kinds of fuzzy control methods including fuzzy control, two-input fuzzy PID control, and three-input fuzzy PID control are designed and realized, and numerical simulation experiments are carried out, respectively. Through a comparative study of the numerical results, the advantages and disadvantages of each kind of fuzzy control method are disclosed.