In maintaining tank level, the error is volume, and the control variable is flow rate. On the z axis of drone flight control, the error is position, and the control variable affects acceleration. The dimensions of control variables are the first and second time derivative of the dimensions of error, respectively. Why are both methods effective?
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I don’t quite get what you’re asking. Controllers are designed to be broadly applicable in a variety of situations. I’m school I even did a lot of stuff abstracted from physical systems. You could (probably) control the tank with the acceleration of flow if you wanted to.
But looking at these systems, you’re controlling a first rise system with the first derivative (ie the flow shows up in the question) and a second order system with the second derivative (ie the acceleration shows up in the equation)
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