A 1-phase current controller is proposed, which combines both fixed frequency operation and variable bandwidth hysteresis, and which is further augmented with a generalized integrating resonator to eliminate the current steady state error, while simultaneously rejecting the 60 Hz power source disturbance. The variable hysteresis operation is accomplished using uni-polar rectifier bridge operation, controlled by two comparators driven respectively by opposite phase, fixed frequency, triangular carrier signals. Due to the resulting linear cycle-averaged input-output relationship of such uni-polar comparator operation, this allows conventional linear control using proportional plus generalized integrator actions. The proposed controller is validated with simulation results