Control systems and methods for cooktop appliances

A cooking appliance comprising:

• a cooktop;
• a user interface provided on the cooktop;
• a manifold provided within the cooktop, the manifold comprising a gas input and a supply valve;
• a first burner supply line extending from the manifold, wherein the first burner supply line is operated as a modulated gas flow line;
• a second burner supply line extending from the manifold in fluid parallel with the first burner supply line, wherein the second burner supply line is operated as a fixed gas flow line;
• a multi-stage gas burner, the multi-stage gas burner comprising:
• a first stage fluidly connected to the manifold via the first burner supply line;
• and
• a second stage fluidly connected to the manifold via the second burner supply line;
• a connection line fluidly connecting the first and second burner supply lines;
• a connection line valve provided on the connection line between the manifold and the multi-stage gas burner;
• and
• a controller operably coupled with the connection line valve, the controller being configured to selectively open the connection line valve.