So control theory is ok for unmanned aerial drones but autonomous driving is just too far? Control theory can't handle noisy domains?
Guarantees of safety (more accurately stability) is the entire point of lyaponov analysis, and it's used on noisy systems all of the time (https://www.mathematik.hu-berlin.de/~imkeller/research/paper...). Can you point to a specific noisy system that control theory is ill suited for?