Fundamentals Of Control Theory: An Intuitive Ap... -

"The Past." If you’ve been slightly off the goal for a long time, this adds up the "history" of the error and gives an extra nudge to eliminate steady-state offset.

If you poke a system, does it return to equilibrium or blow up? A stable system settles; an unstable one oscillates wildly or accelerates to destruction. Damping: Think of a door closer. Underdamped: The door swings back and forth before closing. Overdamped: The door takes forever to close. Fundamentals of Control Theory: An Intuitive Ap...

Engineers use the "S-Plane" to map stability. If the system's "poles" (key mathematical points) are on the left side of the map, it’s stable. If they drift to the right, you’re in trouble. Summary Checklist for a Control Problem: What am I measuring? (Output) What is my goal? (Reference) What can I actually change? (Control Signal) How fast does the system react? (Time Constant) "The Past