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It's interesting how quickly analytically solving this problem gets almost impossible (the problem being 'given a start position and a desired end position, how
by Bigpet 7y ago
It's interesting how quickly analytically solving this problem gets almost impossible (the problem being 'given a start position and a desired end position, how do you maneuver there). I've had a lecture that was basically just about this class of problems.
But it was concerning trucks and how adding additional axes and especially adding even one trailer joint (but especially two) made solving this conventionally impossible.
With some funky transformations into other number-spaces there were some analytic solutions for it though.
- mourner 7y agoYep! It can be solved for some specific cases though — e.g. I stumbled upon a few papers that calculate the optimal path for parallel parking using systems of differential equations [1][2] [1] https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=7463491 https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=7463491 [2] http://www.tsi.lv/sites/default/files/editor/science/Research_journals/Tr_Tel/2012/V4/zadachyn_dorokhov.pdf http://www.tsi.lv/sites/default/files/editor/science/Researc...