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Efficient Box Approximation for Data-Driven Probabilistic Geofencing

delete2023-09-15
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PRE
AI
P
Pengcheng Wu
J
Jun Chen *
DOI:10.1142/S2301385024410024delete
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Abstract

Abstract

En 中文
Advanced Air Mobility (AAM) using electrical vertical take-off and landing (eVTOL) aircraft is an emerging way of air transportation within metropolitan areas. A key challenge for the success of AAM is how to manage large-scale flight operations with safety guarantees in high-density, dynamic, and uncertain airspace environments in real time. To address these challenges, we introduce the concept of a data-driven probabilistic geofence, which can guarantee that the probability of potential conflicts between eVTOL aircraft is bounded under data-driven uncertainties. To evaluate the probabilistic geofences online, Kernel Density Estimation (KDE) based on Fast Fourier Transform (FFT) is customized to model data-driven uncertainties. Based on the FFT-KDE values from data-driven uncertainties, we introduce an optimization framework of Integer Linear Programming (ILP) to find a parallelogram box to approximate the data-driven probabilistic geofence. To overcome the computational burden of ILP, an efficient heuristic algorithm is further developed. Numerical results demonstrate the feasibility and efficiency of the proposed algorithms.
Keywords:
Probabilistic geofence
box approximation
integer linear programming

Journal

Unmanned Systems cover
Unmanned Systems
IF:
2.4
Papers:
302
Citations:
705

Organization

University of California System cover
University of California System
Scholars:
37.5W
Papers: 33.7W
Citations: 6.6K
U
University of California San Diego
Scholars:
4.6W
Papers: 3.5W
Citations: 924
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