A controller for controlling a power converter includes a signal generator and a driver. The power converter receives an input voltage and provides an output voltage to power a load. The signal generator receives a sense signal indicating a current flowing through the power converter, receives a detection signal indicating whether the power converter operates in a predetermined state, and generates a square wave signal according to the sense signal and the detection signal. The square wave signal has a first voltage level proportional to a peak level of the current when the power converter operates in the predetermined state; otherwise, the square wave signal has a second voltage level. The driver generates a driving signal based on the square wave signal to control a current flowing through the load.