This paper provides a manner to design adaptive controller for Boost PFC converter. An Adaptive controller can compensate variations in converter parameters and conditions then lead it to best and near ideal performance. We design an adaptive controller by use of Gain Scheduling techniques. To improve response of output voltage at encounter to load variations, we propose use of fast dynamic techniques and adaptive controller simultaneously. In addition, we choose a Boost converter to operate in wide range of load variations. In other word it coverage CCM, MCM, and DCM then has very near to unity power factor in all operating conditions.

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