Because of the inherent characteristics of the traditional droop control, the output voltage and frequency of the distributed energy in the AC microgrid are easily affected by the load. To addressed this issue, in this paper, we propose a distributed secondary voltage-frequency recovery control algorithm, which are used to realize the voltage-frequency recovery and synchronization, and minimize the total generation cost in the secondary control level. Using the proposed algorithm, the economy of the system can be greatly improved, and the mismatch between the supply and the demand caused by the inconsistent running time scale is reduced. In addition, the presented algorithm successfully realizes a seamless handover from the islanded mode to the grid-connected mode, effectively deals with the communication failure, and maintain the stability of the system in extreme cases. The stability of the proposed control algorithm is analyzed and proved. Finally, simulations and experiments show the validity and the reliability of the proposed algorithm.