In aerospace applications, a Ground Power Unit (GPU) has to provide balanced and sinusoidal 400 Hz phase-to-neutral voltages to unbalanced and non-linear single-phase loads. Compensation of high-order harmonics is complex, as the ratio between sampling frequency and compensated harmonics can be very small. Thus multiple superimposed resonant controllers or PI nested controllers in multiple dq frames are not good alternatives. The first approach cannot ensure stability, while the second cannot track sinusoidal zero-sequence components, typically present in unbalanced system, and unachievable high bandwidth at the inner current control loop is typically required. In this paper, a simple methodology for designing a single-loop, multiple resonant controller for simultaneous mitigation of several high-order harmonics, ensuring stability, is presented. Experimental results, based on a 6kW four-leg NPC converter, validates the proposed controller design, showing excellent steady state and transient performance.