Based on fast steering mirror′s model driven by the voice coil motor,a controller design by discrete tracking-differentiator,extended state observer and grey PID control for promoting the fast steering mirror′s dynamic ability and declining tracing errors was proposed.The discrete tracking-differentiator used for dealing with transient conditions and filtering,and configure the subsystem′s zeros.Extended state observer and grey PID estimated and compensated uncertain parameters of the plant.Via simulation under signals appended random disturber,it′s show apparently that the extended state observer and grey PID control arithmetic tracking effect and tracking errors are prior to others as mentioned,especially the plant′s parameters varied,and it is proved that this method comparatively has feasibility.