The device includes at least the following components: a heating resistor intended for heating a component to be regenerated; a current source; a thermistor connected to the current source and thermally coupled to the heating resistor, the thermistor, through which the current flows, having a voltage Vtemp across its terminals, which voltage reflects the temperature of the heating resistor; an error amplifier, which amplifies the difference between the voltage Vset and the voltage Vtemp and delivers a voltage Vctrl that corresponds to the amplified difference; a switch, which switches the current flowing through the heating resistor; an oscillator, which delivers a voltage Vosc formed with a modulated duty cycle, the duty cycle of the pulses of the voltage Vosc being dependent on the voltage Vctrl, the pulses controlling the opening of the switch.