This paper proposes the application of H∞ synthesis to design a robust controller for regulating the voltage and frequency of a wind generation system. The controlled system consists of a wind turbine that drives an induction generator connected to the utility grid through asynchronous AC-DC-AC link. The main control objective is to regulate the DC link voltage and to track and extract maximum available wind power. This is accomplished via controlling the firing angles of the rectifier and the inverter. The complete nonlinear dynamic model of the system has been described and linearized around an operating point. Also, the design problem of the H∞ controller has been formulated in a standard form with emphasis on the selection of the weighting functions that reflect robustness and performance goals. The proposed system has the advantages of robustness against model uncertainties and external disturbances, fast response and the ability to reject noise. The performance of the wind generation system with the proposed controller has been tested through a step and sinusoidal changes in reference input power. In addition, detuned system parameters are assumed. Simulation results confirm that good dynamic performance of the proposed wind energy scheme has been achieved.