In order to decrease the harmonics caused by inverter and reduce the computational burden and memory consumption of digital controller

we proposed a multispeed repetitive control（MRC） strategy for grid-connected inverter with LCL filter

which consists of grid current feedback control with a high sampling rate and repetitive control with reduced sampling rate. Through analyzing the stability of system as well as the dynamic and steady-state performances

we conclude that MRC system can maintain good dynamic and steady-state performances while the stability margin is enhanced

compared with conventional single sampling-rate repetitive control（SRC）. Simulation and experimental results show that the operation efficiency of MRC controller is improved

the system has good dynamic performance

and the distortion of output current can be kept within 1.5%. The results are obtained under the condition that the distortion of grid voltage is 4.6% and sampling factor is set to 2

which verify the correctness of theoretical analysis

effectiveness and feasibility of the proposed control strategy.