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Supportive consensus

The paper is concerned with the consensus problem in a multi-agent system such that each agent has boundary constraints. Classical Olfati-Saber’s consensus algorithm converges to the same value of the consensus variable, and all the agents reach the same value. These algorithms find an equality solu...

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Detalles Bibliográficos
Autores principales: Palomares, A., Rebollo, M., Carrascosa, C.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7746199/
https://www.ncbi.nlm.nih.gov/pubmed/33332368
http://dx.doi.org/10.1371/journal.pone.0243215
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author Palomares, A.
Rebollo, M.
Carrascosa, C.
author_facet Palomares, A.
Rebollo, M.
Carrascosa, C.
author_sort Palomares, A.
collection PubMed
description The paper is concerned with the consensus problem in a multi-agent system such that each agent has boundary constraints. Classical Olfati-Saber’s consensus algorithm converges to the same value of the consensus variable, and all the agents reach the same value. These algorithms find an equality solution. However, what happens when this equality solution is out of the range of some of the agents? In this case, this solution is not adequate for the proposed problem. In this paper, we propose a new kind of algorithms called supportive consensus where some agents of the network can compensate for the lack of capacity of other agents to reach the average value, and so obtain an acceptable solution for the proposed problem. Supportive consensus finds an equity solution. In the rest of the paper, we define the supportive consensus, analyze and demonstrate the network’s capacity to compensate out of boundaries agents, propose different supportive consensus algorithms, and finally, provide some simulations to show the performance of the proposed algorithms.
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spelling pubmed-77461992020-12-31 Supportive consensus Palomares, A. Rebollo, M. Carrascosa, C. PLoS One Research Article The paper is concerned with the consensus problem in a multi-agent system such that each agent has boundary constraints. Classical Olfati-Saber’s consensus algorithm converges to the same value of the consensus variable, and all the agents reach the same value. These algorithms find an equality solution. However, what happens when this equality solution is out of the range of some of the agents? In this case, this solution is not adequate for the proposed problem. In this paper, we propose a new kind of algorithms called supportive consensus where some agents of the network can compensate for the lack of capacity of other agents to reach the average value, and so obtain an acceptable solution for the proposed problem. Supportive consensus finds an equity solution. In the rest of the paper, we define the supportive consensus, analyze and demonstrate the network’s capacity to compensate out of boundaries agents, propose different supportive consensus algorithms, and finally, provide some simulations to show the performance of the proposed algorithms. Public Library of Science 2020-12-17 /pmc/articles/PMC7746199/ /pubmed/33332368 http://dx.doi.org/10.1371/journal.pone.0243215 Text en © 2020 Palomares et al http://creativecommons.org/licenses/by/4.0/ This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
spellingShingle Research Article
Palomares, A.
Rebollo, M.
Carrascosa, C.
Supportive consensus
title Supportive consensus
title_full Supportive consensus
title_fullStr Supportive consensus
title_full_unstemmed Supportive consensus
title_short Supportive consensus
title_sort supportive consensus
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7746199/
https://www.ncbi.nlm.nih.gov/pubmed/33332368
http://dx.doi.org/10.1371/journal.pone.0243215
work_keys_str_mv AT palomaresa supportiveconsensus
AT rebollom supportiveconsensus
AT carrascosac supportiveconsensus