A control device for a rectifier of a switching converter that includes a rectifier with at least one MOS transistor and a control device that is configured to generate a turn on and off signal for the at least one transistor. The control device also includes a measuring circuit to measure the conduction time of the body diode of the at least one transistor during each converter switching half-cycle. The control device is configured to, cycle by cycle: verify if the drain-source voltage of the at least one transistor is greater or less than a voltage threshold, and if the drain-source voltage is greater than the voltage threshold to turn off the at least one transistor, measure the conduction time of the body diode and increase the voltage threshold by a quantity in the next switching cycle.