The work carried out in this article essentially relates to the application of a synergetic control to the piezoelectric positioning mechanism or piezoelectric actuator (PEA). A LuGre model has been followed, capturing the most physical phenomena, in order to be able to follow the most realistic and representative model possible. From this model, which is then identified by particle swarm optimization (PSO), we apply the synergetic control technique, which is a very efficient control method that allows demonstrating the good functioning of the stability of nonlinear system in closed loop. The simulation results have been compared to those obtained when using sliding mode to confer the best performance in terms of tracking error and minimization of oscillations.