The model of UAV formation based on the uniform allocation of points on the sphere

We consider an approach to constructing the desired virtual structure, which should be formed by unmanned aerial vehicles (UAVs). The proposed model is based on the principle of quasi-uniform allocation of points, previously used by the author in clustering problems. The mathematical apparatus for s...

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Main Authors: Khachumov Mikhail, Khachumov Vyacheslav
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:MATEC Web of Conferences
Online Access:https://doi.org/10.1051/matecconf/201816103022
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spelling doaj-6402034e236f45d58cefcde09a9a8a352021-02-02T03:43:36ZengEDP SciencesMATEC Web of Conferences2261-236X2018-01-011610302210.1051/matecconf/201816103022matecconf_erzr2018_03022The model of UAV formation based on the uniform allocation of points on the sphereKhachumov MikhailKhachumov VyacheslavWe consider an approach to constructing the desired virtual structure, which should be formed by unmanned aerial vehicles (UAVs). The proposed model is based on the principle of quasi-uniform allocation of points, previously used by the author in clustering problems. The mathematical apparatus for solving the problem of forming the desired structure is given: necessary theorems are proved; the hypothesis on the uniform distribution of points on the boundary of the circle and the sphere is put forward and partially proved. The method for optimal assignment of UAVs to goal positions in the desired formation is considered.https://doi.org/10.1051/matecconf/201816103022
collection DOAJ
language English
format Article
sources DOAJ
author Khachumov Mikhail
Khachumov Vyacheslav
spellingShingle Khachumov Mikhail
Khachumov Vyacheslav
The model of UAV formation based on the uniform allocation of points on the sphere
MATEC Web of Conferences
author_facet Khachumov Mikhail
Khachumov Vyacheslav
author_sort Khachumov Mikhail
title The model of UAV formation based on the uniform allocation of points on the sphere
title_short The model of UAV formation based on the uniform allocation of points on the sphere
title_full The model of UAV formation based on the uniform allocation of points on the sphere
title_fullStr The model of UAV formation based on the uniform allocation of points on the sphere
title_full_unstemmed The model of UAV formation based on the uniform allocation of points on the sphere
title_sort model of uav formation based on the uniform allocation of points on the sphere
publisher EDP Sciences
series MATEC Web of Conferences
issn 2261-236X
publishDate 2018-01-01
description We consider an approach to constructing the desired virtual structure, which should be formed by unmanned aerial vehicles (UAVs). The proposed model is based on the principle of quasi-uniform allocation of points, previously used by the author in clustering problems. The mathematical apparatus for solving the problem of forming the desired structure is given: necessary theorems are proved; the hypothesis on the uniform distribution of points on the boundary of the circle and the sphere is put forward and partially proved. The method for optimal assignment of UAVs to goal positions in the desired formation is considered.
url https://doi.org/10.1051/matecconf/201816103022
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