Abstract: Methods and systems comprising an inverter comprising: a semiconductor-based power module that is overrated by a factor f1 having a value greater than two and configured to receive a DC signal and convert the DC signal into an AC signal; a saturable inductive grid filter configured to filter the AC signal; at least one sensor configured to produce a current measurement and a voltage measurement from the AC signal output from the saturable inductive grid filter; and a processor configured to compute adaptive controller gain values using at least the current measurement and temperature, and cause an adjustment to a gain of an inverter controller in accordance with the adaptive controller gain values to maintain stability when the saturable inductive grid filter saturates at high current operations.