Active Obstacle Avoidance of Multi-Rotor UAV Swarm Based on Stress Matrix Formation Method

Aiming at the formation problem of the multi-rotor UAV swarm, this paper adopts a multi-rotor UAV swarm formation control method based on a stress matrix to ensure the stability of multi-rotor UAV swarm formation. On the basis of achieving the target formation through a stress matrix, the formation...

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Main Authors: Zhenyue Qiu, Lei Zhang, Yuan Chi, Zequn Li
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Mathematics
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Online Access:https://www.mdpi.com/2227-7390/13/1/86
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author Zhenyue Qiu
Lei Zhang
Yuan Chi
Zequn Li
author_facet Zhenyue Qiu
Lei Zhang
Yuan Chi
Zequn Li
author_sort Zhenyue Qiu
collection DOAJ
description Aiming at the formation problem of the multi-rotor UAV swarm, this paper adopts a multi-rotor UAV swarm formation control method based on a stress matrix to ensure the stability of multi-rotor UAV swarm formation. On the basis of achieving the target formation through a stress matrix, the formation of a multi-rotor UAV swarm can be rotated, scaled, and sheared. When the obstacles are known, the multi-rotor UAV swarm can pass through the obstacle environment smoothly through rotation, scaling, and shearing transformations. However, this transformation cannot cope with the situation where the obstacles are known. This paper proposes an active obstacle avoidance function for multi-rotor UAV swarm formation based on a stress matrix. Through the detection capability of the UAV itself, the obstacle avoidance function is realized autonomously after the UAV detects an unknown obstacle. Due to the effect of a stress matrix, when the navigator performs the active obstacle avoidance function, the formation of the multi-rotor UAV swarm will be destroyed. This paper designs a virtual UAV and only retains the UAV that controls the flight trajectory of the multi-rotor UAV swarm as the only real UAV to ensure that the UAV swarm formation is not destroyed. This paper proves the stability of the multi-rotor UAV swarm formation through simulation experiments, and the multi-rotor UAV swarm can pass through the obstacle environment smoothly when facing known obstacles and unknown obstacles.
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spelling doaj-art-624f401c530247f4a6d91a1cd2bb9cbe2025-01-10T13:18:13ZengMDPI AGMathematics2227-73902024-12-011318610.3390/math13010086Active Obstacle Avoidance of Multi-Rotor UAV Swarm Based on Stress Matrix Formation MethodZhenyue Qiu0Lei Zhang1Yuan Chi2Zequn Li3School of Artificial Intelligence and Data Science, Hebei University of Technology, Tianjin 300401, ChinaSchool of Artificial Intelligence and Data Science, Hebei University of Technology, Tianjin 300401, ChinaSchool of Artificial Intelligence and Data Science, Hebei University of Technology, Tianjin 300401, ChinaSchool of Artificial Intelligence and Data Science, Hebei University of Technology, Tianjin 300401, ChinaAiming at the formation problem of the multi-rotor UAV swarm, this paper adopts a multi-rotor UAV swarm formation control method based on a stress matrix to ensure the stability of multi-rotor UAV swarm formation. On the basis of achieving the target formation through a stress matrix, the formation of a multi-rotor UAV swarm can be rotated, scaled, and sheared. When the obstacles are known, the multi-rotor UAV swarm can pass through the obstacle environment smoothly through rotation, scaling, and shearing transformations. However, this transformation cannot cope with the situation where the obstacles are known. This paper proposes an active obstacle avoidance function for multi-rotor UAV swarm formation based on a stress matrix. Through the detection capability of the UAV itself, the obstacle avoidance function is realized autonomously after the UAV detects an unknown obstacle. Due to the effect of a stress matrix, when the navigator performs the active obstacle avoidance function, the formation of the multi-rotor UAV swarm will be destroyed. This paper designs a virtual UAV and only retains the UAV that controls the flight trajectory of the multi-rotor UAV swarm as the only real UAV to ensure that the UAV swarm formation is not destroyed. This paper proves the stability of the multi-rotor UAV swarm formation through simulation experiments, and the multi-rotor UAV swarm can pass through the obstacle environment smoothly when facing known obstacles and unknown obstacles.https://www.mdpi.com/2227-7390/13/1/86multi-rotor UAV swarmstress matrixactive obstacle avoidanceunknown environmentvirtual UAVs
spellingShingle Zhenyue Qiu
Lei Zhang
Yuan Chi
Zequn Li
Active Obstacle Avoidance of Multi-Rotor UAV Swarm Based on Stress Matrix Formation Method
Mathematics
multi-rotor UAV swarm
stress matrix
active obstacle avoidance
unknown environment
virtual UAVs
title Active Obstacle Avoidance of Multi-Rotor UAV Swarm Based on Stress Matrix Formation Method
title_full Active Obstacle Avoidance of Multi-Rotor UAV Swarm Based on Stress Matrix Formation Method
title_fullStr Active Obstacle Avoidance of Multi-Rotor UAV Swarm Based on Stress Matrix Formation Method
title_full_unstemmed Active Obstacle Avoidance of Multi-Rotor UAV Swarm Based on Stress Matrix Formation Method
title_short Active Obstacle Avoidance of Multi-Rotor UAV Swarm Based on Stress Matrix Formation Method
title_sort active obstacle avoidance of multi rotor uav swarm based on stress matrix formation method
topic multi-rotor UAV swarm
stress matrix
active obstacle avoidance
unknown environment
virtual UAVs
url https://www.mdpi.com/2227-7390/13/1/86
work_keys_str_mv AT zhenyueqiu activeobstacleavoidanceofmultirotoruavswarmbasedonstressmatrixformationmethod
AT leizhang activeobstacleavoidanceofmultirotoruavswarmbasedonstressmatrixformationmethod
AT yuanchi activeobstacleavoidanceofmultirotoruavswarmbasedonstressmatrixformationmethod
AT zequnli activeobstacleavoidanceofmultirotoruavswarmbasedonstressmatrixformationmethod