This paper proposes a control strategy for a wind energy conversion system equipped with a permanent magnet synchronous generator connected to the electrical grid. The controller parameters are synthesized using a genetic optimization algorithm. This control strategy is validated by numerical simulations at different wind speeds. The dynamic performance analysis proves the effectiveness of the control adopted, in fact, a good robustness. In addition, the performance of the mechanical turbine speed response obtained with a speed controller based on the genetic algorithm has been compared with that obtained with a conventional PI_controller. The efficiency of the structure under consideration is validated using MATLAB Simulink simulations .