How to implement an analog PI controller using op amps
TL072/74 is a good op amp with low offsets in case you want to increase your time constants with high value resistors.
It will integrate on the high side of the cutoff frequency.
If you need high Z or high CMRR then an instrumentation amp will be better but I do not think that is an issue.
you have quite a bit of gain from your Proportional (50) and the last stage (20) plus you have the gain in your integrator too.  Have you looked at the step response?  I am not sure how to do that with LTSPICE.  You can also balance or tune things by incr.decr R12, R13 and R16.


I am playing around with a similar circuit for a temp controller too.  THanks for the look.