When three LED strings are included by the LED load controlled by three corresponding PWM dimming signals, there are total 23=8 load states for multichannel constant current LED controlling circuit 500. Outside of the load state where all of the three LED strings are turned off, each of the remaining seven load states may correspond to one voltage source or filtering capacitor of the loop steady state/compensation network. The value of the voltage sources or filtering capacitors may be determined in accordance with the steady state signal of the remaining seven load states. Based on luminance and color requirements of the LED load, the load states can be all, or a subset of, the total 8 load states.