Abstract: In view of problems of bad reliability and robustness existed in single-phase full-bridge inverter based on single control, the paper proposed a compound control strategy based on iterative learning control and fuzzy PI control. The fuzzy PI control is used to improve dynamic characteristics of the inverter, and the iterative learning control is used to improve steady precision of the inverter. The simulation result shows that waveform of output voltage of the inverter based on compound control strategy has low distortion rate, fast dynamic response and high steady precision.