A method for controlling the operation of an aircraft turboprop engine having a turbine engine operably coupled to and rotating a propeller having propeller blades, the method comprising: receiving a position input from a single input device on a flight deck of the aircraft; converting the position input into a turbine engine setting, wherein the turbine engine setting is a desired engine speed signal, and a propeller setting, wherein the propeller setting is a desired forward propeller speed signal; controlling rotational speed of the turbine engine according to the turbine setting based on a comparison of an actual engine speed signal and the desired engine speed signal; and controlling at least one of propeller speed and pitch according to the propeller setting based on a comparison of the desired forward propeller speed signal and an actual propeller speed signal, wherein controlling comprises: receiving by a controller the desired forward propeller speed signal and the actual propeller speed signal, summing the desired forward propeller speed signal and the actual propeller speed signal, providing the summation to a first amplifier through a second order phase-lead controller, providing the output of the first amplifier to a dead-zone function to generate a variable output signal except when the input signal is between an upper and a lower defined signal boundary, and processing the variable output signal by a second amplifier and a saturator to saturate the values of the variable output signal obtained from the second amplifier into a distinct positive value or a negative value or a neutral value indicating increase in speed or decrease in speed or no speed change respectively for the propeller. receiving a position input from a single input device on a flight deck of the aircraft; converting the position input into a turbine engine setting, wherein the turbine engine setting is a desired engine speed signal, and a propeller setting, wherein the propeller setting is a desired forward propeller speed signal; controlling rotational speed of the turbine engine according to the turbine setting based on a comparison of an actual engine speed signal and the desired engine speed signal; and controlling at least one of propeller speed and pitch according to the propeller setting based on a comparison of the desired forward propeller speed signal and an actual propeller speed signal, wherein controlling comprises: receiving by a controller the desired forward propeller speed signal and the actual propeller speed signal, summing the desired forward propeller speed signal and the actual propeller speed signal, providing the summation to a first amplifier through a second order phase-lead controller, providing the output of the first amplifier to a dead-zone function to generate a variable output signal except when the input signal is between an upper and a lower defined signal boundary, and processing the variable output signal by a second amplifier and a saturator to saturate the values of the variable output signal obtained from the second amplifier into a distinct positive value or a negative value or a neutral value indicating increase in speed or decrease in speed or no speed change respectively for the propeller. receiving by a controller the desired forward propeller speed signal and the actual propeller speed signal, summing the desired forward propeller speed signal and the actual propeller speed signal, providing the summation to a first amplifier through a second order phase-lead controller, providing the output of the first amplifier to a dead-zone function to generate a variable output signal except when the input signal is between an upper and a lower defined signal boundary, and processing the variable output signal by a second amplifier and a saturator to saturate the values of the variable output signal obtained from the second amplifier into a distinct positive value or a negative value or a neutral value indicating increase in speed or decrease in speed or no speed change respectively for the propeller.