The traditional internal model control (IMC) for the inner loop of the inverter cannot take into account the limitations of system following and anti-interference. At the same time, a new double closed-loop control strategy is proposed because the system cannot achieve complete decoupling under the synchronous rotating coordinate system and the controller design relies on excessive system parameters. Among them, the inner loop adopts two-degree-of-freedom IMC (2DOF-IMC) based on synthetic vector, which not only solves the problem that the system cannot be completely decoupled due to the input inductance value, but also ensures that the grid-connected current has strong following and anti-interference at the same time. The outer loop adopts the active disturbances rejection controller (ADRC) to maintain the stability of the DC side voltage based on the idea of instantaneous power balance, and the combination of the two realizes the integrated control of the grid-connected inverter. The simulation results show that the proposed control strategy has better dynamic, static performance and anti-interference ability than the traditional IMC based on active disturbances rejection controller, and lower grid-connected current harmonic content.