Hi,
If you do a full time domain analysis you first do the plant and then the feedback,
then combine them. It's not that easy if you have never done this before though.
Your values for the op amp section are the most important because they have the
ability to make the system fast or slow and stable or unstable. In particular,
the capacitor across the op amp (output to inverting terminal with no series R)
sometimes causes more problems if it is too large. It should be quite small and
even 0.004uf may be too large.
The exact compensation techniques for these circuits is a bit involved, and to
add to the difficulty many sites on the web have so many errors that they
do more harm than good. Even more reputable authors valuable information
does not get to the intended audience because of whomever typed the
information into the web site unfortunately.
This means we end up with trial and error for some of the components.
You can vary one C a little bit and see what the effect is, vary the next
and see what happens there, then vary the resistor. Eventually you can
come up with a technique that gets you there. You then have to carefully
test the system to make sure it wont go unstable with various loads and
inputs, and even some change of load situations and rising and falling
input voltage, etc.
If you do a full time domain analysis you can experiment with the values
in the equations and see what yields the best performance and stability,
so you dont have to change components in the real life circuit.