Hello ,
Generally compensation of Amp will be done for good Phase margin .This good phase margine gives better settiling time when Amp used in feedback.
definetly compensation also a feedback ..but this feedback has to apply only on Amps who are having better phase margin .
Ex : In Two stage Amps ,generally miller cap will be placed between First stage output & SECOND STAGE OUTPUT .Since single stage Amp is always stable , safely you can apply feedback around this .
If you see three stage Amps , just placeing miller cap between First stage output & Third stage output can't make sure Amp stable because miller cap has been placed between uncompensated Amp [ If you see second & thrd as a Amp] . In this case first you have to compensate inner Amp [Which is combination of second & Thrid] .In this case ,you have to place a Miller cap between Second stage output and third satge output. This is excatly called Nested miller compensation for higher order Amps.
Just summirizing , If you want to put Amp into Feedback that amp should comepensated first either by miller Cap or any other available 1001 ways. If you want to use feedback as a compensation , that loop [where you are palceing compansation Cap] should be compensated first .
thanks