According to some embodiments, a bi-directional converter is configured to operate in a boost mode or a buck mode. The bi-directional converter includes a hysteresis control unit that includes a comparator that can be configured to determine whether the reference voltage has a positive slope or a negative slope in conjunction with the bi-directional converter operating in boost mode or buck mode. In addition, the comparator is configured to compare a fractional load voltage to a reference voltage so that the output load voltage corresponds to the waveform shape of the reference voltage.