This paper deals with fuzzy model based multivariable predictive control (FMMPC) for wind turbine generator. Using Linear Matrix Inequalities (LMI) technique combined with predictive approach, a FMMPC law is designed easily by solving a convex optimization problem subject to LMI conditions. Then, such controller is developed to maintain a satisfactory quality of power in high wind speed operating region by reducing mechanical loads. The performances of the wind turbine in terms of wind turbine rotational speed and its stability, relative to wind speed changes, are discussed. The effectiveness and the merit of the proposed approach are shown by simulation results. (C) 2011 Elsevier Ltd. All rights reserved.