Method and system for controlling a turbomachine with control saturations management

A method for controlling a first, a second and a third variable of a turbomachine as a function of a first, a second and a third control quantity of a turbomachine which each saturates depending on the operating parameters of the turbomachine, the control method comprising:

• a measurement of the values of the three variables of the turbomachine,
• a receipt, for each of said three variables received, of a corresponding setpoint,
• a first determination in which the first values of the three control quantities of the turbomachine are determined from the values of the three variables and said three corresponding setpoints,
• a selection of the value of the first control quantity to be delivered to the turbomachine among a maximum value of the first control quantity, a minimum value of the first control quantity and the value of the first control quantity resulting from said first determination, the first selection depending on the operating parameters of the turbomachine,
• a second determination in which second values of the second and third control quantities of the turbomachine are determined from the values of the three variables, from the second and third corresponding setpoints, and from the value of the first control quantity selected during the selection,
• a choice of the pair of values of the second and third control quantities to be delivered to the turbomachine between the pair of the second and third control quantities determined during the first determination and the pair of the second and third control quantities determined during the second determination, the choice of the pair of values of the second and third control quantities to be delivered depending on the value of the first control quantity to be delivered selected during the selection, and
• a transmission to the turbomachine of the value of the first control quantity selected and of the values of the second and third control quantities selected.