Subframework-based Bearing Rigidity Maintenance Control in Multirobot Networks

Fuente: arXiv
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Auteurs principaux: Presenza, J. Francisco, Mas, Ignacio, Alvarez-Hamelin, J. Ignacio, Giribet, Juan I.
Format: Preprint
Publié: 2025
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author Presenza, J. Francisco
Mas, Ignacio
Alvarez-Hamelin, J. Ignacio
Giribet, Juan I.
author_facet Presenza, J. Francisco
Mas, Ignacio
Alvarez-Hamelin, J. Ignacio
Giribet, Juan I.
contents This work presents a novel approach for \textit{bearing rigidity} analysis and control in multi-robot networks with sensing constraints and dynamic topology. By decomposing the system's framework into \textit{subframeworks}, we express bearing rigidity -- a global property -- as a set of \textit{local} properties, with rigidity eigenvalues serving as natural \textit{local rigidity measures}. We propose a decentralized gradient-based controller to execute mission-specific commands using only bearing measurements. The controller preserves bearing rigidity by keeping the rigidity eigenvalues above a threshold, using only information exchanged within subframeworks. Simulations evaluate the scheme's effectiveness, underscoring its scalability and practicality.
format Preprint
id arxiv_https___arxiv_org_abs_2504_17103
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Subframework-based Bearing Rigidity Maintenance Control in Multirobot Networks
Presenza, J. Francisco
Mas, Ignacio
Alvarez-Hamelin, J. Ignacio
Giribet, Juan I.
Robotics
Systems and Control
This work presents a novel approach for \textit{bearing rigidity} analysis and control in multi-robot networks with sensing constraints and dynamic topology. By decomposing the system's framework into \textit{subframeworks}, we express bearing rigidity -- a global property -- as a set of \textit{local} properties, with rigidity eigenvalues serving as natural \textit{local rigidity measures}. We propose a decentralized gradient-based controller to execute mission-specific commands using only bearing measurements. The controller preserves bearing rigidity by keeping the rigidity eigenvalues above a threshold, using only information exchanged within subframeworks. Simulations evaluate the scheme's effectiveness, underscoring its scalability and practicality.
title Subframework-based Bearing Rigidity Maintenance Control in Multirobot Networks
topic Robotics
Systems and Control
url https://arxiv.org/abs/2504.17103