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This paper presents the design and implementation of a Shunt Active Filter (SAF) for aircraft power networks using an accurate wide-band current control method based on Iterative Learning Control (ILC). The SAF control system is designed to compensate harmonic currents, with a 400 Hz supply voltage. This work introduces useful design strategies to increase the error-decay speed and improve the robustness of the SAF control system by using a hybrid P-type ILC controller. Detailed design of the hybrid P-type ILC controller and simulation results are presented. The overall system implementation is demonstrated through experimental results on a laboratory prototype.