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dan1221nad asked Why not set proportional and derivative gain to be huge?
In a PID controller, as I understand it, the proportional gain acts like a spring constant in a mass-spring system and the derivative gain acts as a damping factor. If I'm looking at controlling a furnace temperature, then why wouldn't I set both proportional and derivative gain to be their maximum? Wouldn't that give the minimum response time with the least amount of oscillation?
And got the following answer:
Because if the "spring constant" is huge then the control tries to ram the temperature up to the setting at high velocity and the "damping" tries to bring it back - but that ignores characteristics of the furnace - if I slam 1000 watts into a box that is well insulated, the temperature will over shoot and no matter what the damping, the box can't cool down as abruptly (unless you are going to chill the space with separate sources - in which case it will bounce between the sources.) What PID should do (and modern ones "learn" by examining the response of the box to heat and change their own settings) is rise at a good rate and then cruise right into the setting with almost no over shoot and damp out very quickly. I do glassblowing and watch PID controller do this, but at different rates depending on how much glass there is in the box and how hot added pieces are.