Cooperative Control of Multi-Time-Scale Agent Networks Under Digraphs

This paper addresses cooperative control for a class of multi-agent networks. An interesting feature of such network is that each agent possesses the characteristic of multi-time-scale. By developing the relative states or the relative outputs based consensus protocols, some well-conditioned consens...

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Main Authors: Li-Mei Wei, Wu Yang, Tong Hua
Format: Article
Language:English
Published: IEEE 2023-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/10081354/
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author Li-Mei Wei
Wu Yang
Tong Hua
author_facet Li-Mei Wei
Wu Yang
Tong Hua
author_sort Li-Mei Wei
collection DOAJ
description This paper addresses cooperative control for a class of multi-agent networks. An interesting feature of such network is that each agent possesses the characteristic of multi-time-scale. By developing the relative states or the relative outputs based consensus protocols, some well-conditioned consensus criteria in terms of linear matrix inequalities are derived successively based on the <inline-formula> <tex-math notation="LaTeX">$\varepsilon $ </tex-math></inline-formula>-strict Lyapunov function. Compared with undirected graphs or strongly connected digraphs in existing works, a more general digraph that it contains at least a directed spanning tree is considered herein. Moreover, a fully distributed consensus protocol with time-varying coupling strength is proposed to avoid using global information. Finally, the obtained theoretical results are validated by two examples including standard and nonstandard agents.
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spelling doaj.art-f958dceaefaf4ae4b4c2bd8063ce4bff2023-03-30T23:01:14ZengIEEEIEEE Access2169-35362023-01-0111307963080610.1109/ACCESS.2023.326196310081354Cooperative Control of Multi-Time-Scale Agent Networks Under DigraphsLi-Mei Wei0Wu Yang1https://orcid.org/0000-0002-8824-0679Tong Hua2Guangxi University Xingjian College of Science and Liberal Arts, Nanning, ChinaSchool of Electrical Engineering, Guangxi University, Nanning, ChinaSchool of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan, ChinaThis paper addresses cooperative control for a class of multi-agent networks. An interesting feature of such network is that each agent possesses the characteristic of multi-time-scale. By developing the relative states or the relative outputs based consensus protocols, some well-conditioned consensus criteria in terms of linear matrix inequalities are derived successively based on the <inline-formula> <tex-math notation="LaTeX">$\varepsilon $ </tex-math></inline-formula>-strict Lyapunov function. Compared with undirected graphs or strongly connected digraphs in existing works, a more general digraph that it contains at least a directed spanning tree is considered herein. Moreover, a fully distributed consensus protocol with time-varying coupling strength is proposed to avoid using global information. Finally, the obtained theoretical results are validated by two examples including standard and nonstandard agents.https://ieeexplore.ieee.org/document/10081354/Consensusdirected graphfully distributed protocolmulti-time-scale featurestrict Lyapunov function
spellingShingle Li-Mei Wei
Wu Yang
Tong Hua
Cooperative Control of Multi-Time-Scale Agent Networks Under Digraphs
IEEE Access
Consensus
directed graph
fully distributed protocol
multi-time-scale feature
strict Lyapunov function
title Cooperative Control of Multi-Time-Scale Agent Networks Under Digraphs
title_full Cooperative Control of Multi-Time-Scale Agent Networks Under Digraphs
title_fullStr Cooperative Control of Multi-Time-Scale Agent Networks Under Digraphs
title_full_unstemmed Cooperative Control of Multi-Time-Scale Agent Networks Under Digraphs
title_short Cooperative Control of Multi-Time-Scale Agent Networks Under Digraphs
title_sort cooperative control of multi time scale agent networks under digraphs
topic Consensus
directed graph
fully distributed protocol
multi-time-scale feature
strict Lyapunov function
url https://ieeexplore.ieee.org/document/10081354/
work_keys_str_mv AT limeiwei cooperativecontrolofmultitimescaleagentnetworksunderdigraphs
AT wuyang cooperativecontrolofmultitimescaleagentnetworksunderdigraphs
AT tonghua cooperativecontrolofmultitimescaleagentnetworksunderdigraphs