A control device controls a switching converter having an input alternating supply voltage and a regulated direct voltage at the output terminal. The converter comprises a switch and the control device is adapted to control the on time period and the off time period of said switch for each cycle. The control device has a first input signal representative of the current flowing through at least one element of the converter and comprises a zero crossing detector adapted to detect at least one pair of first and second zero crossings of said first signal for each switching cycle, said second zero crossing immediately following the first zero crossing and occurring in opposite direction with respect to the first zero crossing. The control device comprises a synchronizer adapted to synchronize the start of the on period with each second zero crossing of said first signal.