A system and method for driving one or more LEDs by 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 PI or PID controller for continuous mode of operation of the power converter. Current is provided through an inductor and a power switch during an on time of the power switch. The ampseconds of the inductor are measured at an off time and compared with a periodic ramp signal. A set reference signal is also compared with the periodic ramp signal. Based on the comparisons between the ramp signal, the measured ampseconds, and the reference signal, a control signal is generated to regulate the peak current through the power switch.