This is a thing I’ve been trying to figure out in my spare time, mostly noodling about in my head with various ideas when I have some down time, and now I want to know if there’s a formal answer of some sort. It goes like this: in a lot of situations, ranging from airplane autopilots to self-driving cars (I think) to videogames, there are times when you want a moving object to get itself as precisely as possible with a known path. For example, having the autopilot line up with the approach path for a runway.
So how is that done? What’s the general approach to programming a moving thing to find, with decent efficiency, its way onto a given path in 3D space? Or in 2D space, if that’s easier to understand? I can think of a few naïve approaches, but none of them seem anywhere near robust enough to be trusted.