This paper concentrates on the development of robust maximum power control for variable speed wind turbines with a double feed induction generator in the presence of wind disturbance and parameter uncertainties. To increment the actual manner for the wind turbine system, the effects of the mechanical and electrical part are taken in consideration. The algorithm is based on Takagi-Sugeno fuzzy model to increases the efficiency of the wind power generation systems and guarantees almost convergence. Conditions for the stability of fuzzy control systems are proved using a fuzzy Lyapunov function and formulated by Linear Matrix Inequalities. A Parallel Distributed Compensation scheme of fuzzy controllers is stated for closing the feedback loop. The advantages of the proposed strategy are: i) Enough stability conditions in the LMI is given for uncertain nonlinear system; ii) stabilizes the system over a wide range of wind speed variations and parameter uncertainties; iii) maximize output power from the system; iv) improving the system efficiency than other techniques. The influence of the proposed controller is finally proved through numerical simulations and compared with different strategies.