In order to solve the problems of chattering and robustness degradation in time optimal control (TOC), an proximate time optimal control (TOC) method for radar tracking conversion is proposed. Taking the azimuth servo of tracking radar as the research object, the approximate time-optimal controller is designed under the constraint of motor angular velocity and angular acceleration, and the control mathematical model is established, and the simulation demonstration and physical verification are carried out based on Matlab. The results show that the algorithm is feasible and meets the technical requirements of the system, which can be widely used in the search and tracking radar servo system.