A computerized device having a man-machine input interface, a controller and a display. The controller being arranged to control the display according to a control value measured on the man-machine input interface at a first measuring frequency. The controller having a derivator and is arranged, between a first moment and a second moment separated by a duration based on the first measuring frequency, for: calling on the derivator to calculate an estimate of the derivative of the control value at the second moment from the control value at the first moment and the duration based on the first frequency; calculating a smoothing factor value at the second moment from the estimate of the first derivative of the control value at the second moment and from a smoothing factor value at the first moment; calculating a display value from the control value at the first moment and from a value based on the estimate of the derivative of the control value at the second moment and of the smoothing factor value at the second moment; and controlling the display with the display value.