A gas turbine engine. The gas turbine engine may include a compressor for compressing a flow of air, a combustor for combusting the flow of air and a flow of fuel to create a flow of combustion gases, a turbine driven by the flow of combustion gases, a rotor driven by the turbine and driving the compressor, a rotor speed sensor, and a gas turbine shut down controller. The gas turbine shut down controller varies the flow of fuel to the combustor based upon a rotational speed of the rotor as determined by a dynamic target trajectory schedule.