In this paper a system for power control of wind turbine generator based on LQR controller is designed. Two-mass drive train model is considered. The linear model with parametric uncertainty is obtained. This model describes the plant dynamics in whole working range. Based on uncertain model the robustness analysis of the control system is performed. The results show that the designed LQR controller provides robust stability and robust performance of the control system. Simulation results show the control system performance in the regime “maximum power extraction” when the wind speed varies in a large range.