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This paper develops a novel physics-inspired traffic coordination approachand applies it to Unmanned Aircraft System (UAS) traffic management. We extendavailable physics-inspired approaches previously applied to 1-D traffic flow onhighways and urban streets to support models of traffic coordination in higherdimension airspace for cases where no predefined paths exist. The paperconsiders airspace as a finite control volume while UAS coordination, treatedas continuum deformation, is controlled at the airspace boundaries. Bypartitioning airspace into planned and unplanned spaces, the paper modelsnominal coordination in the planned airspace as the solution of a partialdifferential equation with spatiotemporal parameters. This paper also improvesresilience to vehicle failures with a resilient boundary control algorithm toupdate the geometry of the planned space when UAS problems threaten safecoordination in existing navigable airspace channels. To support UAScoordination at the microscopic level, we propose clustering vehicles based onvehicle performance limits. UAS clusters, with each UAS treated as a particleof a virtual rigid body, use leader-follower containment to acquire themacroscopic desired trajectory.

Physics-Based Freely Scalable Continuum Deformation for UAS Traffic Coordination