Group Consensus of Mixed-Order Multi-Agent Systems With Fixed and Directed Interactive Topology
This paper studies the group consensus of discrete-time mixed-order multi-agent systems with fixed and directed interactive topology. First, group consensus protocols are designed for all agents to investigate the group consensus of mixed-order multi-agent systems without time delays. Under some ass...
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Format: | Article |
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IEEE
2019-01-01
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Series: | IEEE Access |
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Online Access: | https://ieeexplore.ieee.org/document/8930482/ |
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author | Min Liu Yuanzhen Feng |
author_facet | Min Liu Yuanzhen Feng |
author_sort | Min Liu |
collection | DOAJ |
description | This paper studies the group consensus of discrete-time mixed-order multi-agent systems with fixed and directed interactive topology. First, group consensus protocols are designed for all agents to investigate the group consensus of mixed-order multi-agent systems without time delays. Under some assumptions on the interactive topology, sufficient conditions for group consensus are obtained based on matrix theory and graph theory, which are dependent on the sampling period and the control gains. Then, group consensus protocols are proposed for a case where communication delays exist. Sufficient conditions are also established for group consensus using Nyquist stability criterion. Finally, several simulation examples are given to verify the validity of the theoretical results. |
first_indexed | 2024-12-23T23:38:34Z |
format | Article |
id | doaj.art-5151d980fd534aa6b3d1c0bda4f48c00 |
institution | Directory Open Access Journal |
issn | 2169-3536 |
language | English |
last_indexed | 2024-12-23T23:38:34Z |
publishDate | 2019-01-01 |
publisher | IEEE |
record_format | Article |
series | IEEE Access |
spelling | doaj.art-5151d980fd534aa6b3d1c0bda4f48c002022-12-21T17:25:45ZengIEEEIEEE Access2169-35362019-01-01717971217971910.1109/ACCESS.2019.29587948930482Group Consensus of Mixed-Order Multi-Agent Systems With Fixed and Directed Interactive TopologyMin Liu0https://orcid.org/0000-0003-0166-6368Yuanzhen Feng1https://orcid.org/0000-0003-3610-0727School of Science, Nanjing University of Posts and Telecommunications, Nanjing, ChinaSchool of Science, Nanjing University of Posts and Telecommunications, Nanjing, ChinaThis paper studies the group consensus of discrete-time mixed-order multi-agent systems with fixed and directed interactive topology. First, group consensus protocols are designed for all agents to investigate the group consensus of mixed-order multi-agent systems without time delays. Under some assumptions on the interactive topology, sufficient conditions for group consensus are obtained based on matrix theory and graph theory, which are dependent on the sampling period and the control gains. Then, group consensus protocols are proposed for a case where communication delays exist. Sufficient conditions are also established for group consensus using Nyquist stability criterion. Finally, several simulation examples are given to verify the validity of the theoretical results.https://ieeexplore.ieee.org/document/8930482/Communication delaydiscrete-timegroup consensusmixed-order multi-agent systems |
spellingShingle | Min Liu Yuanzhen Feng Group Consensus of Mixed-Order Multi-Agent Systems With Fixed and Directed Interactive Topology IEEE Access Communication delay discrete-time group consensus mixed-order multi-agent systems |
title | Group Consensus of Mixed-Order Multi-Agent Systems With Fixed and Directed Interactive Topology |
title_full | Group Consensus of Mixed-Order Multi-Agent Systems With Fixed and Directed Interactive Topology |
title_fullStr | Group Consensus of Mixed-Order Multi-Agent Systems With Fixed and Directed Interactive Topology |
title_full_unstemmed | Group Consensus of Mixed-Order Multi-Agent Systems With Fixed and Directed Interactive Topology |
title_short | Group Consensus of Mixed-Order Multi-Agent Systems With Fixed and Directed Interactive Topology |
title_sort | group consensus of mixed order multi agent systems with fixed and directed interactive topology |
topic | Communication delay discrete-time group consensus mixed-order multi-agent systems |
url | https://ieeexplore.ieee.org/document/8930482/ |
work_keys_str_mv | AT minliu groupconsensusofmixedordermultiagentsystemswithfixedanddirectedinteractivetopology AT yuanzhenfeng groupconsensusofmixedordermultiagentsystemswithfixedanddirectedinteractivetopology |