A control device for a switching converter having an input terminal and an output terminal, a half-bridge of a first and a second transistor coupled between the input terminal and a reference voltage the control device including a first circuit structured to detect signal on the output terminal of the converter and to integrate the detected signal and regulate on the average value of the detected signal by comparison with a further reference signal, and then drive the first and second transistor as a function of the regulation. The control device further includes a switching circuit for turning off the first circuit so that the control device carries out a regulation on the detected signal by comparison with a further reference signal and drives the first and second transistors when current passing between the output terminal of the converter and the half-bridge crosses zero.