Methods and systems for controlling a gas valve assembly and/or combustion appliance may include identifying a flow rate of gas to a burner of a combustion appliance and determining if the flow rate is sufficient for a burner load of the combustion appliance. If the flow rate is sufficient for a burner load, a position of the valve member of the valve assembly and/or the burner load may be adjusted such that the flow rate of gas meets a target flow rate of gas for the current burner load. If the flow rate is insufficient to meet the current burner load, the valve member of the valve assembly may be positioned in a fully open position to at least partially meet the current burner load. If the flow rate is below a minimum flow rate threshold, the valve member may be moved to a fully closed position.