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by scrooched_moose 2223 days ago
I was thinking the same thing.

In my class, at no point was it explained why we would want to do this. It was "This is the math for a P controller. Here's some homework. Now test. This is the math for a PID controller....". Things didn't click until years later.

Looking back, it was a shortcoming in so many classes I took. Actually discussing the problem we were trying to solve adds so much intuition and understanding to the mathematics.