Blended n-dot and ratio unit reference acceleration control architecture for gas turbine engine

A gas turbine engine acceleration control system comprising:

• a fuel system configured to output an amount of fuel;
• and
• a controller in signal communication with the fuel system, the controller configured to:
• determine a real-time Wf/P3 ratio between a real-time fuel flow (Wf) of the fuel output from the fuel system and a real-time pressure (P3) of a gas turbine engine;
• determine a real-time acceleration (N-dot) value of the gas turbine engine based on a real-time rotational speed (N) of the gas turbine engine;
• and
• generate a first fuel command signal that reduces a first error between the real-time Wf/P3 ratio and a Wf/P3 ratio reference value, and a second fuel command signal that reduces a second error between a real-time N-dot value and a N-dot reference value,
• wherein the controller generates a blended fuel delivery command signal based on the first and second fuel command signals, and controls the fuel system to change the fuel flow using the blended fuel delivery command signal.