Abstract: Aimed at the voltage wave distortion of ASI (aeronautical static inverter), a scheme based on the repetitive control technique was proposed. The repetitive controller based on the theory of internal model produces correction signal based on the control error of the last cycle to eliminate the error in the latter cycle. The compensator of the ASI was analyzed, and its stability and convergence were proved. The design of control parameters in frequency domain was also presented. Simulation courses with the parameters were obtained from a SPWM (sinusoidal pulse width modulation) ASI. Simulation results show that the control model and design method of parameters are feasible, and also the concept to use the repetitive control approach to improve the wave distortion of ASI with non-linear loads or disturbed by periodic signal can be verified practically.