Still i am not clear. It is clear that opamp gives 180 phase shift(when we give feedback signal to inverting input) and integrating capacitor gives 90 degree. totally 270 degree. at high frequencies it may go up to 360 degree. But in regulated power supply we have only DC Voltages and No frequency components , Why we are worried about frequencies? When we work with DC Quantities when frequency is ZERO? why phase shift is introduced?
The various parts within the feedback loop do not roll of their high frequency performance instantly. The integrating characteristic of the operational amplifier is deliberate to provide unconditional stability at any closed loop gain and not all operational amplifiers are designed this way. An externally compensated operational amplifier can be easily "overcompensated" to make it as slow as one would like. Integrated power supply controllers use operational transconductance amplifiers which are compensated by an external capacitor to ground.
The frequency response can be further lowered by using a slower operational amplifier, increasing the compensation capacitance, increasing the external integration capacitance, or increasing the output capacitance. Of course this has to be done while still leaving enough phase margin at a gain of 1 to prevent oscillation.
The cost of having a feedback loop which is slower than necessary is that the output will respond more slowly to load changes.