A system drives one or a plurality of LEDs, regulating their brightness by controlling the LEDs' average current or voltage. The system includes a switching power converter and an integrated digital regulator with at least one of electrical, thermal, and optical feedbacks. The regulator is constructed as a hysteretic peak current mode controller for continuous mode of operation of the power converter. For a discontinuous mode of operation of the power converter, a pulse averaging sliding mode control is used. Average LED current is measured by integrating LED pulse current at off time and hysteretically adjusting on time of the power switch. An input battery is protected from discharging at abnormally low impedance of the output.