Wind energy conversion systems based on fully-rated power converters have had increasing application in the last couple years, mainly the based on permanent magnet synchronous generator with back-to-back converters one. For this scheme, the machine-side converter is responsible for accomplishing the maximum power point tracking, while the grid-side converter is responsible for controlling the active and the reactive powers delivered to the grid. Conventionally, the controllers for these converters are based on proportional-integral loops. However, the robustness of this kind of controller towards external disturbance and large parametric uncertainties has not been tested. In this work, this assessment is provided and it presents an alternative to the machine-side converter control. The proposed control is designed to meet the reference of machine stator currents and, aiming to obtain improved robustness, it is based on state feedback including an internal model of error. The proposed control performance is compared to the conventional control through simulations in Matlab/Simulink.