Numerical method for solving the optimization problem of trajectory control and formation maintenance by a group of autonomous UAVs with predictive models
- Authors: Ganshin K.Y.1, Vinokursky D.L.1, Mezentseva O.S.1, Samoilov F.V.1
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Affiliations:
- North-Caucasus Federal University
- Issue: No 4 (2023)
- Pages: 55-60
- Section: Mathematical modeling, numerical methods and program complexes
- Submitted: 20.11.2025
- Published: 04.02.2026
- URL: https://journals.rcsi.science/1991-6639/article/view/352308
- DOI: https://doi.org/10.35330/1991-6639-2023-4-114-55-60
- EDN: https://elibrary.ru/ERYXGL
- ID: 352308
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Abstract
The article is devoted to the development of a numerical method for solving the optimization problem of trajectory control of a single UAV based on the penalty functions method with computational acceleration. The article described a numerical method for finding a solution to the trajectory control problem, presented as a quadratic programming problem, using the penalty function method with Aitken's computational acceleration.
About the authors
Konstantin Yu. Ganshin
North-Caucasus Federal University
Email: dlvinokursky@gmail.com
ORCID iD: 0000-0001-7495-0736
graduate student, Institute of Information Technologies and Telecommunications
Russian Federation, 355017, Russia, Stavropol, 1, Pushkin streetDmitry L. Vinokursky
North-Caucasus Federal University
Email: dlvinokursky@gmail.com
ORCID iD: 0000-0002-5225-8076
Ph.D. (Phys. & Math.), Associate Professor, Institute of Information Technologies and Telecommunications
Russian Federation, 355017, Russia, Stavropol, 1, Pushkin streetOksana S. Mezentseva
North-Caucasus Federal University
Email: dlvinokursky@gmail.com
ORCID iD: 0000-0001-5503-1056
Ph.D. (Phys. & Math.) Associate Professor, Institute of Information Technologies and Telecommunications
Russian Federation, 355017, Russia, Stavropol, 1, Pushkin streetFilipp V. Samoilov
North-Caucasus Federal University
Author for correspondence.
Email: dlvinokursky@gmail.com
ORCID iD: 0000-0003-3555-4479
Ph.D. (Phys. & Math.), Associate Professor, Institute of Information Technologies and Telecommunications
Russian Federation, 355017, Russia, Stavropol, 1, Pushkin streetReferences
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