Consensus-based formation of a swarm of quadrotors interacting over ring digraphs

Fuente: arXiv
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Main Authors: Dennisselvan, Sahaya Aarti, Kumar, Shashi Ranjan, Mukherjee, Dwaipayan
Format: Preprint
Published: 2025
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author Dennisselvan, Sahaya Aarti
Kumar, Shashi Ranjan
Mukherjee, Dwaipayan
author_facet Dennisselvan, Sahaya Aarti
Kumar, Shashi Ranjan
Mukherjee, Dwaipayan
contents This work proposes a cooperative strategy for a group of quadrotors interacting over ring digraphs with macro-vertices of size two. Consensus for a group of general double integrators has been initially investigated, and it has been proved that through a suitable choice of a single controller parameter, consensus and stability of the resulting networked dynamical system can be ensured. This further opens up the possibility of achieving a desired formation and to move a swarm of quadrotors, interacting over ring digraphs, at a desired flight velocity, using a single controller gain. An analysis of achievable velocities is performed. Examples have been provided to offer deeper insights into the obtained analytical results. Simulation studies clearly demonstrate that a desired formation is achieved, starting from arbitrary initial positions, while also ensuring convergence to a final desired flight velocity.
format Preprint
id arxiv_https___arxiv_org_abs_2512_15225
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Consensus-based formation of a swarm of quadrotors interacting over ring digraphs
Dennisselvan, Sahaya Aarti
Kumar, Shashi Ranjan
Mukherjee, Dwaipayan
Systems and Control
This work proposes a cooperative strategy for a group of quadrotors interacting over ring digraphs with macro-vertices of size two. Consensus for a group of general double integrators has been initially investigated, and it has been proved that through a suitable choice of a single controller parameter, consensus and stability of the resulting networked dynamical system can be ensured. This further opens up the possibility of achieving a desired formation and to move a swarm of quadrotors, interacting over ring digraphs, at a desired flight velocity, using a single controller gain. An analysis of achievable velocities is performed. Examples have been provided to offer deeper insights into the obtained analytical results. Simulation studies clearly demonstrate that a desired formation is achieved, starting from arbitrary initial positions, while also ensuring convergence to a final desired flight velocity.
title Consensus-based formation of a swarm of quadrotors interacting over ring digraphs
topic Systems and Control
url https://arxiv.org/abs/2512.15225