Huber, LukasBillard, AudeSlotine, Jean-Jacques2019-01-142019-01-142019-01-142019-07-1710.1109/LRA.2019.2893676https://infoscience.epfl.ch/handle/20.500.14299/153459This paper presents a closed-form approach to obstacle avoidance for multiple moving convex and star-shaped concave obstacles. The method takes inspiration in harmonic-potential fields. It inherits the convergence properties of harmonic potentials. We prove impenetrability of the obstacle’s hull and asymptotic stability at a final goal location, using contraction theory. We validate the approach in a simulated co-worker industrial environment, with one KUKA arm engaged in a pick and place grocery task, avoiding in real-time humans moving in its vicinity and in simulation to drive wheel-chair robot in the presence of moving obstacles.Collision AvoidanceOptimization and Optimal ControlAutonomous Agentstext::journal::journal article::research article