In modern micro-grid, the majority of loads are nonlinear, which may distort the voltage at the point of common coupling (PCC) and degrade the power quality. In this paper, a control strategy consisting of H∞ repetitive controller, virtual impedance technique, and droop control is proposed to reduce the total harmonic distortion (THD) of the PCC voltage. The active damping method is introduced to suppress the LC filter resonance. Then, a state space model including the active damping coefficient is built to design the H∞ repetitive controller. By reasonably designing the active damping coefficient, the high-order controller can be reduced nearly without performance loss. Finally, a micro-grid system is designed and simulated to demonstrate the effectiveness of the proposed control strategy.