A method for controlling a gas-fired appliance is presented, wherein the gas-fired appliance includes a combustor, at least one flow-regulating valve, and a solenoid valve which are all interconnected, and adaptive to low or no power supplied to the gas-fired appliances, including the steps of: using the solenoid valve to block fuel gas, determining whether the power returns to normal, and if not, maintaining the solenoid valve block, and if so, closing the flow-regulating valve to thereby block the fuel gas such that the fuel gas flow is paused when the solenoid valve is open during a next ignition try.