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In this paper, we propose closed loop satellite communication system to compensate for nonlinear problem of HPA in satellite. Conventional pre-distorter schemes can only compensate for one HPA nonlinear problem. But, the proposed schemes can compensate for nonlinear problem including two HPA model. The purpose of this paper is to increase efficiency of HPA and to secure high communication quality by closed loop pre-distortion technique with feedback information at the receiver. Simulation result shows that the proposed scheme can compensate for nonlinear problem including two different HPA models.