>>95575894It's basically like this
Imagine a point sitting in 2D space
hen you move a mouse, you directly move the x-y coordinate of a point by the number of units by which you moved the mouse
When you move a joystick, you move the x-y coordinate of a point by a certain number of units per second, depending on how much you moved the stick
So if you extrapolate that, if there is a second-order controller, then whatever you moved it to, it would move the x-y coordinate of a point by a certain number of units per second, that itself increases or decreases based on how you moved the control surface
A zeroth-order control surface is great for aiming at something, because you want to rapidly move to point at a fixed point that doesn't move
A first-order control surface is good for vehicles, because you want to maintain consistent turning or pitch speeds
I can't imagine what use you would have for a second-order control surface, but maybe I'm just a caveman and there will be some crazy spacecraft sometime where it will be perfect