Consensus control of multi-agent systems with delays
This paper concerns the consensus problem of linear time-invariant multi-agent systems (MASs) with multiple state delays and communicate delays. Consensus control is widely applied in spacecraft formation, sensor networks, robotic manipulators, autonomous vehicles, and others. By introducing a linea...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-08-01
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| Series: | Electronic Research Archive |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2024224 |
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| author | Yi Gong |
| author_facet | Yi Gong |
| author_sort | Yi Gong |
| collection | DOAJ |
| description | This paper concerns the consensus problem of linear time-invariant multi-agent systems (MASs) with multiple state delays and communicate delays. Consensus control is widely applied in spacecraft formation, sensor networks, robotic manipulators, autonomous vehicles, and others. By introducing a linear transformation, the consensus problem of the delayed MAS under an undirected network was converted into a robust asymptotic stability problem associated with the eigenvalues of the normalized Laplacian matrix of the network. By means of the argument principle and optimization technologies, a numerical controller design method was presented for the delayed MAS to reach consensus. The effectiveness of the proposed approach was illustrated by some numerical examples. The proposed approach may be applied to multi-agent systems with distributed delays. |
| format | Article |
| id | doaj-art-f466dadd10ea4fdcb5ca4383b07d20a4 |
| institution | Kabale University |
| issn | 2688-1594 |
| language | English |
| publishDate | 2024-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj-art-f466dadd10ea4fdcb5ca4383b07d20a42025-01-23T07:51:27ZengAIMS PressElectronic Research Archive2688-15942024-08-013284887490410.3934/era.2024224Consensus control of multi-agent systems with delaysYi Gong0Department of Basic Courses, Shanghai Customs College, Shanghai 201204, ChinaThis paper concerns the consensus problem of linear time-invariant multi-agent systems (MASs) with multiple state delays and communicate delays. Consensus control is widely applied in spacecraft formation, sensor networks, robotic manipulators, autonomous vehicles, and others. By introducing a linear transformation, the consensus problem of the delayed MAS under an undirected network was converted into a robust asymptotic stability problem associated with the eigenvalues of the normalized Laplacian matrix of the network. By means of the argument principle and optimization technologies, a numerical controller design method was presented for the delayed MAS to reach consensus. The effectiveness of the proposed approach was illustrated by some numerical examples. The proposed approach may be applied to multi-agent systems with distributed delays.https://www.aimspress.com/article/doi/10.3934/era.2024224multi-agent systemsoptimizationargument principletime delay |
| spellingShingle | Yi Gong Consensus control of multi-agent systems with delays Electronic Research Archive multi-agent systems optimization argument principle time delay |
| title | Consensus control of multi-agent systems with delays |
| title_full | Consensus control of multi-agent systems with delays |
| title_fullStr | Consensus control of multi-agent systems with delays |
| title_full_unstemmed | Consensus control of multi-agent systems with delays |
| title_short | Consensus control of multi-agent systems with delays |
| title_sort | consensus control of multi agent systems with delays |
| topic | multi-agent systems optimization argument principle time delay |
| url | https://www.aimspress.com/article/doi/10.3934/era.2024224 |
| work_keys_str_mv | AT yigong consensuscontrolofmultiagentsystemswithdelays |