Abstract: An Interlinking Converter (ILC) control strategy based on the differential Flatness-Based Control (FBC) theory is proposed to improve the dynamic and robust performance of the hybrid AC-DC microgrid in the presence of power fluctuations and power loss. First analyzes the distributed power supply in the sub-network under the island mode. It uses the droop control strategy to solve the power distribution problem in the respective network. Secondly, it establishes the ILC mathematical model under the DQ axis and proves that the ILC system satisfies the differential flatness. Then, according to the differential flatness theory, the power controller of ILC is designed, which consists of feedforward control and error compensation. The cascade control structure is adopted in the system. The outer power loop generates the reference trajectory of balanced output, and the current inner loop generates the DQ axis voltage component of the ILC expected output. Finally, the ILC simulation system of FBC and PI control is established in Matlab / Simulink. Under three working conditions, the simulation results verify that the FBC control system has better dynamics and robustness.