Abstract: A cooking appliance gas burner system includes a gas burner adapted to receive gas flow from a gas feed line via a venturi. A flow sensor includes a gas flow input in fluid connection with the venturi and configured to measure pressure at the venturi. The flow sensor further includes a differential pressure sensor configured to measure a pressure differential at the venturi between a maximum burner air/gas mixture flow rate and a user input burner air/gas mixture flow rate that is input by a user as a requested percentage of the maximum burner air/gas mixture flow rate. A proportional valve is configured to modulate the air/gas mixture flow rate into the gas burner. A controller is configured to read burner air/gas mixture flow rates from the flow sensor and regulate the burner air/gas mixture flow rate via the proportional valve based upon a user-defined input.