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In this study, a robust repetitive control (RRC) scheme that combines robust optimal feedback controller (RFC) with repetitive controller is proposed for three-phase constant-voltage-constant-frequency (CVCF) pulse-width-modulated (PWM) inverters. The proposed control scheme inherits the advantages from both RFC and repetitive controller - fast dynamic response, good robustness and high tracking accuracy. The RRC design procedure is presented in detail. An RRC-controlled inverter can produce high-quality output voltages with certain good robustness in the presence of non-linear loads and parameter uncertainties. Experiments are carried out to verify the effectiveness of the proposed RRC scheme.