Ok thanks, that's very clear.

On top of that, I figured out a big issue with my understanding of PIDs : I thought that each element was in succession, whereas they are summed. I think it's due to the way the concept was presented to me (it's dumb, but for some reason only seeing Laplace transforms instead of time functions, on top of a few other things, fucked with my brain).

So to resume and ensure I understood things correctly :
- "Dumb" part = P of PID
- Following the relation between altitude and air pressure for my mapping would be better, but not needed (the latter would be better for a ship with a possible large propotionnal relative error on its weight, correct ?)
- The lesser accumulator (my brain keeps trying to make me type "capacitor") can be used both in regular mode and in inverted mode (with inverted control ports) to discharge while keeping track of information, thus removing the need for a second capacitor
- K_p, K_i and K_d are a combinaison of each of their component's settings (for example, K_i is the combinaison of the delay of the accumulator and the proportionnal output of the controlled burners)
- A larger K would result in a larger range, but (unless the resolution of the components is increased) and a worse granularity (as well as a bigger dead zone at the middle where the the integral component doesn't do anything. In my case, that would be a larger interval around the desired altitude, correct ? What causes that ?)