In order to suppress the periodic angle measuring error′s fluctuation on gimbals and the imaging effect of photoelectric tracking, a measuring error model and an error control algorithm were established. Firstly, the mechanism of the measurement error of angular measuring system was analyzed, and a mathematical model for the periodic error was established in this paper. Secondly, a measuring error acquisition system based on the high precision fiber optic gyroscope and Fourier was established, and a specific expression of angle measurement error model was established through seven experimental procedures. Then, the periodic system error was compensated according to the measured angle error expressions through four steps. Finally, the effectiveness of control compensation was verified by tracking imaging experiments, and the experimental results show that speed error is reduced to 0.04 (°)/s, is reduced 8 times. The error meets the requirement of the imaging system less than 0.1 (°)/s, and the stripe imaging effect is greatly improved.