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Is this amplifier, with this frequency response, stable?
Is the peaking normal for the two-pole compensation?
Why do you want two-pole compensation?
If you compensate you should know that the stable system is when for your gain equal to 0 dB the phase is still above 0 degrees (assuming that the phase starts from 180 degrees). You may use any compensation. The point is the system is stable. And not only Miller changes by "only" 90 degrees. Every pole changes by 90 degrees.
Now, I have this two-pole compensation:
Can this be declared stable?
You keep insisting on this approach of repeatedly designing without doing this check by yourself. A simple and well-known metric to know whether the system will be stable or not is to verify that in phase -180 if the gain is greater than 0dB. It was at this point where we expected the cursor to be positioned. By the way, adding poles will not stabilize your system, as opposed to adding zeros as well. A good way to do this would be to use the Lead compensator, which by having a zero dominant to the pole, would be pulling the phase up, thus giving a larger working margin for the gain.