In this paper, an adaptive controller is applied to the piezoelectric actuators, PEA, in order to handle them. Our paper deals with the design of a new adaptive neuro-fast terminal sliding mode controller. The new adaptive control law using the terminal attractor concept is used in the finite time control procedure of the non-linear model. The PEA converges to the desired trajectory in a very short time. The controller allows for obtaining good results in terms of trajectory tracking and error minimization. The adaptive scheme is used to reduce the high noise order presented in piezo materials, especially at the micro-positioning level. The results of the simulations undertaken have demonstrated the robustness of the proposed approach and make it possible not only to guarantee the high accuracy of the monitoring but also to maintain the high stability of the piezoelectric actuator.