Aiming at the problem of high randomness of load and high sensitivity of distributed power supply to the load changes in the micro-grid, the special inverter output controller, which is applicable to the characteristic of the micro-grid, is improved through the dynamic matrix predictive control in model predictive control theory. For the internal control structure of the grid-connected inverter in the traditional distributed generation system, the traditional power controller is retained, and a model prediction controller is designed through the model-control-based dynamic matrix predictive control method to replace the voltage loop and current loop output controller at AC side and the voltage controller at DC side in the traditional control structure. It is proved in the simulation experiment that this inverter control method enhances the dynamic response speed of the inverter controller, improves the overshoot, oscillation and steady-state error of the traditional controller, and promotes the dynamic performance of the internal control system of the inverter. This work is supported by National Natural Science Foundation of China (No. 61571189) and 111 Project of State Administration of Foreign Experts (No. B13009).