In order to improve the robustness of the micro power grid inverter control system. For the model errors during its modeling process and its working process is easily influenced by uncertainty factors such as real-time interference. Through the experiment system of input and output signal acquisition, adopting the method of robust model matching (RMM).Combined with the typical robust control structure, attaching a robust compensator on the basis of the synchronous rotating dq coordinate control structure. Regarding white noise as the equivalent disturbance, respectively applied to the original control structure and the attached robust compensator control structure. As the simulation results shows, after attaching the robust compensator, the anti-interference ability of the micro inverter current control system has improved significantly. That is to say, attaching a robust compensator to improve the robustness of the system is feasible and effective.