Hi all,
Ah, one cup of café down.
Let's not start a PID war here, but the description Dyslexical is very good and I think the OP may need to do some research himself to better understand what PID is rather than us flinging all kinds of implementations and our own interpretations of PID, and there are a few, I know.
He will only get more confused.
It appears the OP knows what he wants to achieve.
Paul