Aiming at the inherent constraints between tracking accuracy and disturbance suppression performance of H∞ repetitive control system for uninterruptible power supplies (UPS) inverter, an H∞ repetitive control strategy with equivalent input disturbance (EID) compensation is proposed, which realizes the rapid suppression of load sudden change and other disturbances and the high-precision tracking of reference voltage. Firstly, the dynamic mathematical model of UPS inverter is established by using the state space average method, and the overall control block diagram is given. Based on the H∞ repetitive controller, a set of state feedback gains that can maintain stability when the load changes suddenly are obtained. Secondly, the EID estimator is constructed by a state observer, and the specific design steps are given. The experimental results show that the proposed control strategy can shorten the recovery time of UPS inverter after suffering from strong nonlinear interference by about one cycle, reduce the maximum offset of output voltage RMS to 0. 09%, and improve the dynamic performance of UPS inverter repetitive control system for disturbance suppression.