This paper deals with the robust regulation of reactive power and rotor angular speed in a wind turbine driven Doubly Fed Induction Generator, which constitutes one of the key functionalities for the implementation of the future Smart Grids. The focus of the work is the application of a recent development in the theory of robust control of nonlinear systems, which combines robust feedback linearization and H∞ linear control. The derived robust control system is compared to a traditional one making use of classical feedback linearization and PI controllers. Simulations show the effectiveness of the new approach in extending the performances of the classical feedback linearization based regulator from nominal parameters condition to the perturbed one.