This paper deals with the design, control, and implementation of a three-phase ground power-supply unit for aircraft servicing. Instead of a classical back-to-back converter configuration, a three-phase direct ac-ac (matrix) converter has been used as the power conditioning core of the power supply, working in conjunction with input and output <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">LC</i> filters. An optimized control system in the ABC frame employing a repetitive controller has been successfully implemented, taking into account both the transient and steady-state performance targets together with the system effectiveness under extreme unbalanced conditions. Extensive experimental tests on a 7.5-kVA prototype prove the efficiency of the designed system in meeting the high demanding civil and military international standards requirements.