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A new approach to design LPV robust gain scheduling controllers for a variable pitch variable speed wind turbine drive system is presented. The time-varying nonlinear model of the wind turbine is translated into a linear parameter varying (LPV) system with convex polyhedron version via the LPV convex decomposition technique. State feedback controller satisfying Hinfin performance at every vertex of convex polyhedron parameter space can be numerically solved via linear matrix inequalities (LMI) approach. Using these designed controllers at every vertex, a LPV controller with smaller on-line calculating capacity is synthesized via convex decomposition techniques. Simulation results show better tracking performances and disturbance rejection abilities of the proposed controller than.