The system has a correction device (9) to correct a measured speed NTL into a corrected value. A determination unit (11) detects a preset value for the speed of rotation of a free turbine of an engine (5). The device (9) corrects the measured speed to obtain a corrected value exhibiting same modulus and an opposite phase with respect to the preset value around torsional mode of a drivetrain. An Independent claim is also included for a process of determining a correction law implemented by a correction device.
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