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This paper deals with the chaos phenomenon of doubly fed induction generator(DFIG). The Takagi-Sugeno (T-S) fuzzy model of DFIG chaos system is built. Based on the fuzzy Lyapunov function approach, a robust optimal controller is designed in the form of linear matrix inequality (LMI). Thus the chaos of DFIG with parametric uncertainties is eliminated. The simulation result shows that the fuzzy optimal control system adopting the designed method has good performance and robust capability. And the efficiency of fuzzy Lyapunov stability theory is also illustrated.