TY - JOUR
T1 - Physics-based freely scalable continuum deformation for UAS traffic coordination
AU - Rastgoftar, Hossein
AU - Atkins, Ella
N1 - Funding Information:
Manuscript received August 19, 2019; revised October 30, 2019; accepted November 3, 2019. Date of publication November 20, 2019; date of current version June 12, 2020. This work was supported by the National Science Foundation under Award Nos. 1739525 and 1914581. Recommended by Associate Editor M. V. Salapaka. (Corresponding author: Hossein Rastgoftar.) The authors are with the Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI 48109 USA (e-mail: hosseinr@umich. edu; ematkins@umich.edu). Digital Object Identifier 10.1109/TCNS.2019.2954521
Publisher Copyright:
© 2014 IEEE.
PY - 2020/6
Y1 - 2020/6
N2 - This article develops a novel physics-inspired traffic coordination approach and applies it to unmanned aircraft system (UAS) traffic management. We extend available physics-inspired approaches previously applied to 1-D traffic flow on highways and urban streets to support models of traffic coordination in higher dimension airspace for cases where no predefined paths exist. This article considers airspace as a finite control volume while UAS coordination, treated as continuum deformation, is controlled at the airspace boundaries. By partitioning airspace into planned and unplanned spaces, the article models nominal coordination in the planned airspace as the solution of a partial differential equation with spatiotemporal parameters. This article also improves resilience to vehicle failures with a resilient boundary control algorithm to update the geometry of the planned space when UAS problems threaten safe coordination in existing navigable airspace channels. To support UAS coordination at the microscopic level, we propose clustering vehicles based on vehicle performance limits. UAS clusters, with each UAS treated as a particle of a virtual rigid body, use leader-follower containment to acquire the macroscopic desired trajectory.
AB - This article develops a novel physics-inspired traffic coordination approach and applies it to unmanned aircraft system (UAS) traffic management. We extend available physics-inspired approaches previously applied to 1-D traffic flow on highways and urban streets to support models of traffic coordination in higher dimension airspace for cases where no predefined paths exist. This article considers airspace as a finite control volume while UAS coordination, treated as continuum deformation, is controlled at the airspace boundaries. By partitioning airspace into planned and unplanned spaces, the article models nominal coordination in the planned airspace as the solution of a partial differential equation with spatiotemporal parameters. This article also improves resilience to vehicle failures with a resilient boundary control algorithm to update the geometry of the planned space when UAS problems threaten safe coordination in existing navigable airspace channels. To support UAS coordination at the microscopic level, we propose clustering vehicles based on vehicle performance limits. UAS clusters, with each UAS treated as a particle of a virtual rigid body, use leader-follower containment to acquire the macroscopic desired trajectory.
KW - Graph theory
KW - UAS traffic management
KW - macroscopic coordination
KW - microscopic coordination
KW - multi-agent coordination
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U2 - 10.1109/TCNS.2019.2954521
DO - 10.1109/TCNS.2019.2954521
M3 - Article
AN - SCOPUS:85083696048
VL - 7
SP - 532
EP - 544
JO - IEEE Transactions on Control of Network Systems
JF - IEEE Transactions on Control of Network Systems
SN - 2325-5870
IS - 2
M1 - 8907366
ER -