To mitigate the shortcomings of narrow stability margins and poor robustness of the conventional deadbeat controller and the two-sample predictive current controller with control delay, an effective robust predictive current controller is proposed based on the Luenberger observer, which compensates the effect of control delay, thus enhances the high frequency characteristics, and improves accuracy, stability margin and robustness. The experiment results reveal that the cascaded H-bridge APF device provides effective compensation for different kinds of harmonic load with high precision and fast dynamic response, the individual dc-link voltage is balance.