Abstract: A local predictive method based on few data is applied in the azimuth and elevation servo control of the small moving antenna floating on sea under disturbances from medium and small surges in the process of automatic tracking satellite.The positions of the antenna are predicted by the local predictive method on the basis of the few data of the antenna positions，the calculation error between the antenna direction and the satellite will be input to the controller to control the antenna to track satellite.The local predictive algorithm is designed and verified by simulation based on the correlation among the antenna positions.The azimuth controller is designed on the basis of the antenna servo system construction and verified by matlab and hardware-in-loop simulation.Experimental results validate its feasibility，reliability and robustness.