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H(∞)-based control of multi-agent systems: Time-delayed signals, unknown leader states and switching graph topologies

The paper investigates a leader-following scheme for nonlinear multi-agent systems (MASs). The network of agents involves time-delay, unknown leader’s states, external perturbations, and switching graph topologies. Two distributed protocols including a consensus protocol and an observer are utilized...

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Autores principales: Taghieh, Amin, Mohammadzadeh, Ardashir, Din, Sami ud, Mobayen, Saleh, Assawinchaichote, Wudhichai, Fekih, Afef
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9049309/
https://www.ncbi.nlm.nih.gov/pubmed/35482650
http://dx.doi.org/10.1371/journal.pone.0263017
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author Taghieh, Amin
Mohammadzadeh, Ardashir
Din, Sami ud
Mobayen, Saleh
Assawinchaichote, Wudhichai
Fekih, Afef
author_facet Taghieh, Amin
Mohammadzadeh, Ardashir
Din, Sami ud
Mobayen, Saleh
Assawinchaichote, Wudhichai
Fekih, Afef
author_sort Taghieh, Amin
collection PubMed
description The paper investigates a leader-following scheme for nonlinear multi-agent systems (MASs). The network of agents involves time-delay, unknown leader’s states, external perturbations, and switching graph topologies. Two distributed protocols including a consensus protocol and an observer are utilized to reconstruct the unavailable states of the leader in a network of agents. The H(∞)-based stability conditions for estimation and consensus problems are obtained in the framework of linear-matrix inequalities (LMIs) and the Lyapunov-Krasovskii approach. It is ensured that each agent achieves the leader-following agreement asymptotically. Moreover, the robustness of the control policy concerning a gain perturbation is guaranteed. Simulation results are performed to assess the suggested schemes. It is shown that the suggested approach gives a remarkable accuracy in the consensus problem and leader’s states estimation in the presence of time-varying gain perturbations, time-delay, switching topology and disturbances. The H(∞) and LMIs conditions are well satisfied and the error trajectories are well converged to the origin.
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spelling pubmed-90493092022-04-29 H(∞)-based control of multi-agent systems: Time-delayed signals, unknown leader states and switching graph topologies Taghieh, Amin Mohammadzadeh, Ardashir Din, Sami ud Mobayen, Saleh Assawinchaichote, Wudhichai Fekih, Afef PLoS One Research Article The paper investigates a leader-following scheme for nonlinear multi-agent systems (MASs). The network of agents involves time-delay, unknown leader’s states, external perturbations, and switching graph topologies. Two distributed protocols including a consensus protocol and an observer are utilized to reconstruct the unavailable states of the leader in a network of agents. The H(∞)-based stability conditions for estimation and consensus problems are obtained in the framework of linear-matrix inequalities (LMIs) and the Lyapunov-Krasovskii approach. It is ensured that each agent achieves the leader-following agreement asymptotically. Moreover, the robustness of the control policy concerning a gain perturbation is guaranteed. Simulation results are performed to assess the suggested schemes. It is shown that the suggested approach gives a remarkable accuracy in the consensus problem and leader’s states estimation in the presence of time-varying gain perturbations, time-delay, switching topology and disturbances. The H(∞) and LMIs conditions are well satisfied and the error trajectories are well converged to the origin. Public Library of Science 2022-04-28 /pmc/articles/PMC9049309/ /pubmed/35482650 http://dx.doi.org/10.1371/journal.pone.0263017 Text en https://creativecommons.org/publicdomain/zero/1.0/This is an open access article, free of all copyright, and may be freely reproduced, distributed, transmitted, modified, built upon, or otherwise used by anyone for any lawful purpose. The work is made available under the Creative Commons CC0 (https://creativecommons.org/publicdomain/zero/1.0/) public domain dedication.
spellingShingle Research Article
Taghieh, Amin
Mohammadzadeh, Ardashir
Din, Sami ud
Mobayen, Saleh
Assawinchaichote, Wudhichai
Fekih, Afef
H(∞)-based control of multi-agent systems: Time-delayed signals, unknown leader states and switching graph topologies
title H(∞)-based control of multi-agent systems: Time-delayed signals, unknown leader states and switching graph topologies
title_full H(∞)-based control of multi-agent systems: Time-delayed signals, unknown leader states and switching graph topologies
title_fullStr H(∞)-based control of multi-agent systems: Time-delayed signals, unknown leader states and switching graph topologies
title_full_unstemmed H(∞)-based control of multi-agent systems: Time-delayed signals, unknown leader states and switching graph topologies
title_short H(∞)-based control of multi-agent systems: Time-delayed signals, unknown leader states and switching graph topologies
title_sort h(∞)-based control of multi-agent systems: time-delayed signals, unknown leader states and switching graph topologies
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9049309/
https://www.ncbi.nlm.nih.gov/pubmed/35482650
http://dx.doi.org/10.1371/journal.pone.0263017
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