The Full-disk vector MagnetoGraph (FMG) is one of the three main payloads of the Advanced Space-based Solar Observatory (ASO-S). In order to conduct the overall system performance testing and the calibration experiment of FMG, a ground-based experimental observation platform of FMG payload was established. We use this platform to mimic the tracking states on orbit of the FMG working platform, and we developed a tracking system based on the full-disk solar image processing. The system realizes tracking accuracy better than 1$'$/30min RMS (Root Mean Square) by using a large-area array CCD (Charge Coupled Device) to collect solar images, to judge multiple logic conditions, to fine-tune the perpetual motion speed, and to complete the offset correction and other strategies. By comparing and analyzing the solar longitudinal magnetograms during the experimental observation of the planning phase, the deviation of the feature point in the right ascension direction is 17.5$'$, less than that under perpetual motion condition, which improves the spatial resolution of the magnetic field images. The system achieved the design target and worked stably during the experimental observation, which provides a robust technical support for FMG test observations.