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A Physics-Informed Fixed Skyroad Model for Continuous UAS Traffic Management (C-UTM)

Muhammad Junayed Hasan Zahed, Hossein Rastgoftar

TL;DR

Addresses dynamic low-altitude urban UTM where UAS enter and exit arbitrarily. Proposes a physics-informed skyroad framework with multi-layer fixed corridors generated from Laplace-based stream functions, coupled with FCFS supervisory control and A*-based allocation in a C-UTM. Demonstrates feasibility and safety in an 8-layer urban grid through simulations, showing scalable, collision-free path planning and dynamic reallocation. Points to future work incorporating weather uncertainty and learning-based adaptation.

Abstract

Unlike traditional multi-agent coordination frameworks, which assume a fixed number of agents, UAS traffic management (UTM) requires a platform that enables Uncrewed Aerial Systems (UAS) to freely enter or exit constrained low-altitude airspace. Consequently, the number of UAS operating in a given region is time-varying, with vehicles dynamically joining or leaving even in dense, obstacle-laden environments. The primary goal of this paper is to develop a computationally efficient management system that maximizes airspace usability while ensuring safety and efficiency. To achieve this, we first introduce physics-informed methods to structure fixed skyroads across multiple altitude layers of urban airspace, with the directionality of each skyroad designed to guarantee full reachability. We then present a novel Continuous UTM (C-UTM) framework that optimally allocates skyroads to UAS requests while accounting for the time-varying capacity of the airspace. Collectively, the proposed model addresses the key challenges of low-altitude UTM by providing a scalable, safe, and efficient solution for urban airspace usability.

A Physics-Informed Fixed Skyroad Model for Continuous UAS Traffic Management (C-UTM)

TL;DR

Addresses dynamic low-altitude urban UTM where UAS enter and exit arbitrarily. Proposes a physics-informed skyroad framework with multi-layer fixed corridors generated from Laplace-based stream functions, coupled with FCFS supervisory control and A*-based allocation in a C-UTM. Demonstrates feasibility and safety in an 8-layer urban grid through simulations, showing scalable, collision-free path planning and dynamic reallocation. Points to future work incorporating weather uncertainty and learning-based adaptation.

Abstract

Unlike traditional multi-agent coordination frameworks, which assume a fixed number of agents, UAS traffic management (UTM) requires a platform that enables Uncrewed Aerial Systems (UAS) to freely enter or exit constrained low-altitude airspace. Consequently, the number of UAS operating in a given region is time-varying, with vehicles dynamically joining or leaving even in dense, obstacle-laden environments. The primary goal of this paper is to develop a computationally efficient management system that maximizes airspace usability while ensuring safety and efficiency. To achieve this, we first introduce physics-informed methods to structure fixed skyroads across multiple altitude layers of urban airspace, with the directionality of each skyroad designed to guarantee full reachability. We then present a novel Continuous UTM (C-UTM) framework that optimally allocates skyroads to UAS requests while accounting for the time-varying capacity of the airspace. Collectively, the proposed model addresses the key challenges of low-altitude UTM by providing a scalable, safe, and efficient solution for urban airspace usability.

Paper Structure

This paper contains 19 sections, 11 equations, 15 figures, 1 table.

Figures (15)

  • Figure 1: C-UTM illustrating fixed skyroads with vertical passing zone. In each layer the skyroads are multi-track and bidirectional, while skyroads on the adjacent layers are orthogonal to each other.
  • Figure 2: The state machine used to update accessible node $\mathcal{W}$ and edge set $\mathcal{X}\subset \mathcal{W}\times \mathcal{W}$ specifying transition over conflict-free airspace.
  • Figure 3: A virtual urban landscape featuring numerous buildings of varying lengths, widths, and heights. Eight layers are spaced 12.5 meters apart. Zoomed in view of each 2D layer in XY plane is directed by arrow marks.
  • Figure 4: Skyroads along certain directions sandwitching the keep-out zones Please fix the picture. Just two sky roads on the left and two skyroads on the right. Each skyroad needs to be segmented and illustrated. Set $\mathcal{V}$ defines skyroad segments not nodes.
  • Figure 5: The proposed segmentation of the boundary of floor $h$
  • ...and 10 more figures

Theorems & Definitions (7)

  • Definition 1
  • Definition 2
  • Definition 3
  • Definition 4
  • Definition 5
  • Definition 6
  • Definition 7