In order to enhance the performance of three-phase inverters with output LC filter, an improved double loop control strategy is proposed in this paper. Firstly, based on the state equation and linear proportional integral feedback, a double loop controller is designed. Secondly, to speed up the current loop dynamic response, a bang-bang controller is activated in the cases where the current tracking error is far away from its prespecified threshold, and a proportion integral controller is switched on operation when the error was small. Finally, the voltage tracking error converges along with the exponential function trajectory by tracking the predicted integral state of voltage loop, which can eliminate the voltage overshoot when load changes and step signal acts. The validity of the proposed control strategy is verified by the simulation results.