Abstarct: In this thesis studying on Doubly Fed Induction Generator (DFIG) wind turbine has been done. The main objective of this project is the simultaneous control of active and reactive power which is produced by generator. Robust-Adaptive and AdaptiveFuzzy are tow methods which are presented to control the system. The proposed RobustAdaptive is new method to track a reference signal in the presesence of disturbances. Adaptive rule is designed baxsed on a positive definite function which guaranty the stability of close loop system and the resulted tracking error is used for tuning of controller parameters. Since designing of this controller is independent of the system parameters, the close loop system is robust against parametric uncertainty. In second approach similar to the first method a reference signal is considered and only tracking error is used to design the controller without the use of other states of the system. An advantage of this method in comparison with the first one is that only the resulted error of tracking is used and other varibales of the system is not applied. Close loop stability analyse has been done by the positive definite function and adaptive rules is obtained from the result of this function. Moreover, the internal stability of system is proved by considering the passivity of the system and bounded input. The Proposed methods is compared whith a conventional approach and finally conclusion and some suggestion in order to control the system is mentioned.