Abstract
This paper investigates a class of motion planning problems where multiple unicycle robots desire to safely reach their respective goal regions with minimal traveling times. We present a distributed algorithm which integrates decoupled optimal feedback planning and distributed conflict resolution. Collision avoidance and finite-time arrival at the goal regions are formally guaranteed. Further, the computational complexity of the proposed algorithm is independent of the robot number. A set of simulations are conduct to verify the scalability and near-optimality of the proposed algorithm.
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