Collision Avoidance in Circular Motion of a Fixed-Wing Drone Formation Based on Rotational Modification of Artificial Potential Field

In coordinated circular motion of a group of autonomous unmanned aerial vehicles (UAVs or drones), it is important to ensure that collisions between them are avoided. A typical situation occurs when one of the drones in a circular formation needs to overtake the drone ahead. The reason for such an o...

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Main Author: Tagir Muslimov
Format: Article
Language:English
Published: Russian Academy of Sciences, St. Petersburg Federal Research Center 2025-01-01
Series:Информатика и автоматизация
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Online Access:https://ia.spcras.ru/index.php/sp/article/view/16553
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author Tagir Muslimov
author_facet Tagir Muslimov
author_sort Tagir Muslimov
collection DOAJ
description In coordinated circular motion of a group of autonomous unmanned aerial vehicles (UAVs or drones), it is important to ensure that collisions between them are avoided. A typical situation occurs when one of the drones in a circular formation needs to overtake the drone ahead. The reason for such an overtake may be due to a given geometry of the UAV formation, when this configuration of a given relative position of the drones has changed for some reason. In this case, the limited maneuverability of UAVs of exactly fixed-wing type requires taking into account the peculiarities of their dynamics in the synthesis of the collision avoidance algorithm. The impossibility of the airspeed for a fixed-wing type UAV to drop below a certain minimum value also plays a role here. In this paper, we propose to use an approach based on vortex vector fields, which are essentially a rotational modification of the artificial potential field (APF) method. In this case, the path following algorithm developed in our previous works provides the circular motion. As a result, a collision avoidance algorithm has been developed that works efficiently by maintaining a coordinated circular motion of the autonomous drone formation without unnecessary turns. The proposed algorithm was named Artificial Potential Field for Circular Motion (abbreviated as APFfCM). Using the direct Lyapunov method, it is shown that the trajectories of the formation system have uniform boundedness (UB) when using the proposed control algorithm. Due to the boundedness of the candidate Lyapunov function, it is guaranteed that no collision event between drones will occur. Thus the control objective of providing coordinated circular motion for an autonomous fixed-wing type drone formation without collisions is achieved. Fixed-wing (“flying wing”) UAV models in MATLAB/Simulink environment demonstrate the effective performance of the proposed algorithm. These models have both full nonlinear dynamics and implementation of tuned autopilots stabilizing angular and trajectory motion.
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spelling doaj-art-dcae806bcff048a783924bbac2d68f5d2025-01-21T11:27:24ZengRussian Academy of Sciences, St. Petersburg Federal Research CenterИнформатика и автоматизация2713-31922713-32062025-01-01241729810.15622/ia.24.1.416553Collision Avoidance in Circular Motion of a Fixed-Wing Drone Formation Based on Rotational Modification of Artificial Potential FieldTagir Muslimov0Ufa University of Science and Technology (UUST)In coordinated circular motion of a group of autonomous unmanned aerial vehicles (UAVs or drones), it is important to ensure that collisions between them are avoided. A typical situation occurs when one of the drones in a circular formation needs to overtake the drone ahead. The reason for such an overtake may be due to a given geometry of the UAV formation, when this configuration of a given relative position of the drones has changed for some reason. In this case, the limited maneuverability of UAVs of exactly fixed-wing type requires taking into account the peculiarities of their dynamics in the synthesis of the collision avoidance algorithm. The impossibility of the airspeed for a fixed-wing type UAV to drop below a certain minimum value also plays a role here. In this paper, we propose to use an approach based on vortex vector fields, which are essentially a rotational modification of the artificial potential field (APF) method. In this case, the path following algorithm developed in our previous works provides the circular motion. As a result, a collision avoidance algorithm has been developed that works efficiently by maintaining a coordinated circular motion of the autonomous drone formation without unnecessary turns. The proposed algorithm was named Artificial Potential Field for Circular Motion (abbreviated as APFfCM). Using the direct Lyapunov method, it is shown that the trajectories of the formation system have uniform boundedness (UB) when using the proposed control algorithm. Due to the boundedness of the candidate Lyapunov function, it is guaranteed that no collision event between drones will occur. Thus the control objective of providing coordinated circular motion for an autonomous fixed-wing type drone formation without collisions is achieved. Fixed-wing (“flying wing”) UAV models in MATLAB/Simulink environment demonstrate the effective performance of the proposed algorithm. These models have both full nonlinear dynamics and implementation of tuned autopilots stabilizing angular and trajectory motion.https://ia.spcras.ru/index.php/sp/article/view/16553collision avoidancedrone teamsmulti-uav systemartificial potential field methodvortex vector field
spellingShingle Tagir Muslimov
Collision Avoidance in Circular Motion of a Fixed-Wing Drone Formation Based on Rotational Modification of Artificial Potential Field
Информатика и автоматизация
collision avoidance
drone teams
multi-uav system
artificial potential field method
vortex vector field
title Collision Avoidance in Circular Motion of a Fixed-Wing Drone Formation Based on Rotational Modification of Artificial Potential Field
title_full Collision Avoidance in Circular Motion of a Fixed-Wing Drone Formation Based on Rotational Modification of Artificial Potential Field
title_fullStr Collision Avoidance in Circular Motion of a Fixed-Wing Drone Formation Based on Rotational Modification of Artificial Potential Field
title_full_unstemmed Collision Avoidance in Circular Motion of a Fixed-Wing Drone Formation Based on Rotational Modification of Artificial Potential Field
title_short Collision Avoidance in Circular Motion of a Fixed-Wing Drone Formation Based on Rotational Modification of Artificial Potential Field
title_sort collision avoidance in circular motion of a fixed wing drone formation based on rotational modification of artificial potential field
topic collision avoidance
drone teams
multi-uav system
artificial potential field method
vortex vector field
url https://ia.spcras.ru/index.php/sp/article/view/16553
work_keys_str_mv AT tagirmuslimov collisionavoidanceincircularmotionofafixedwingdroneformationbasedonrotationalmodificationofartificialpotentialfield