A switching converter circuit for driving a LED comprising: - at least an input terminal (IN 1) to be connected to a continuous voltage source (V DCbus), - a pair of output terminals (OUT1, OUT2), - a pair of field effect transistors (Q H, Q L) connected in series between the input terminal (IN 1) and a reference terminal comprised by the switching converter circuit, - a pair of coupled inductors, comprising an ideal transformer, a magnetising inductance (Lm) and a parasitic inductance (Ls), having a first pole connected to a common node of the field effect transistors (Q H, Q L), a second pole connected to the reference terminal through a capacitor (C n), a third pole connected to the second output terminal (OUT 2) and a fourth pole connected to the first output terminal (OUT 1) through a diode, - an integrated control circuit connected to the field effect transistors (Q H, Q L) configured to control an output current (I LED) of the converter circuit, - a control loop, and - a measure resistance (R s) connected between the second output terminal and the third pole of the pair of coupled inductors, characterized in that the control loop comprises a first input terminal (V AC) connected to said common node arranged to measure a first voltage (V AC (t)), a second input terminal (V DC) connected to the measuring resistance (R s) arranged to measure a second voltage (V DC (t)), and an output terminal (V FB) connected to the integrated control circuit arranged to provide a third voltage (V FB (t)) thereto, the control loop further comprising: - a first control loop branch (22,24,26) connected to the first input terminal (V AC) and configured to provide a first waveform (V' AC (t)) having a triangular progression corresponding to the frequency component of a current flowing in the magnetising inductance (L m) of a model of the pair of coupled inductors, based on the first voltage (V AC (t)); - a second control loop branch (30,32,34) connected to the second input terminal (V DC) and configured to provide a second waveform (V' DC (t)) proportional to a direct current, DC, component of the current flowing in the magnetising inductance (L m) of a model of the pair of coupled inductors based on the second voltage (V DC (t)), and - a summing node connected to the first control loop branch (22,24,26), to the second control loop branch (30,32,34) and to the output terminal (V FB), the summing node being configured to combine the first waveform (V' AC (t)) with the second waveform (V' DC (t)) to provide the third voltage (V FB (t)), and wherein the integrated control circuit is arranged to implement a hysteretic current control of the average value of the output current (I LED) using the third voltage (V FB (t)) as a control magnitude. - at least an input terminal (IN 1) to be connected to a continuous voltage source (V DCbus), - a pair of output terminals (OUT1, OUT2), - a pair of field effect transistors (Q H, Q L) connected in series between the input terminal (IN 1) and a reference terminal comprised by the switching converter circuit, - a pair of coupled inductors, comprising an ideal transformer, a magnetising inductance (Lm) and a parasitic inductance (Ls), having a first pole connected to a common node of the field effect transistors (Q H, Q L), a second pole connected to the reference terminal through a capacitor (C n), a third pole connected to the second output terminal (OUT 2) and a fourth pole connected to the first output terminal (OUT 1) through a diode, - an integrated control circuit connected to the field effect transistors (Q H, Q L) configured to control an output current (I LED) of the converter circuit, - a control loop, and - a measure resistance (R s) connected between the second output terminal and the third pole of the pair of coupled inductors, - a first control loop branch (22,24,26) connected to the first input terminal (V AC) and configured to provide a first waveform (V' AC (t)) having a triangular progression corresponding to the frequency component of a current flowing in the magnetising inductance (L m) of a model of the pair of coupled inductors, based on the first voltage (V AC (t)); - a second control loop branch (30,32,34) connected to the second input terminal (V DC) and configured to provide a second waveform (V' DC (t)) proportional to a direct current, DC, component of the current flowing in the magnetising inductance (L m) of a model of the pair of coupled inductors based on the second voltage (V DC (t)), and - a summing node connected to the first control loop branch (22,24,26), to the second control loop branch (30,32,34) and to the output terminal (V FB), the summing node being configured to combine the first waveform (V' AC (t)) with the second waveform (V' DC (t)) to provide the third voltage (V FB (t)), and