Ok, the data is the evolution of the temperature of an oven. At the beginning, there is a curve which looks like an exponential (between 0 and 250s) then the curve which is found by the automatic process.
the inflection point is at the beginning.
I tried automatic PID settings and it does very bad things. The Ki is obviously much higher.
Do you have any idea how to do a much finer definition of the parameters?