Observer-Based Intra-Cluster Lag Consensus of Multi-Agent Systems via Intermittent Adaptive Pinning Control

Zhang, Y; Wen, G; Rahmani, A; Peng, Z; Wen, S

Observer-Based Intra-Cluster Lag Consensus of Multi-Agent Systems via Intermittent Adaptive Pinning Control

Zhang, Y Wen, G Rahmani, A Peng, Z Wen, S

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Publisher:: SPRINGER HEIDELBERG
Publication Type:: Journal Article
Citation:: Journal of Systems Science and Complexity, 2023, 36, (5), pp. 1809-1829
Issue Date:: 2023-10-01

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Field	Value	Language
dc.contributor.author	Zhang, Y
dc.contributor.author	Wen, G
dc.contributor.author	Rahmani, A
dc.contributor.author	Peng, Z
dc.contributor.author	Wen, S https://orcid.org/0000-0001-8077-7001
dc.date.accessioned	2024-01-16T21:16:52Z
dc.date.available	2024-01-16T21:16:52Z
dc.date.issued	2023-10-01
dc.identifier.citation	Journal of Systems Science and Complexity, 2023, 36, (5), pp. 1809-1829
dc.identifier.issn	1009-6124
dc.identifier.issn	1559-7067
dc.identifier.uri	http://hdl.handle.net/10453/174628
dc.description.abstract	The intra-cluster lag consensus means that the agents in the same cluster can achieve lag consensus asymptotically while the agents in different clusters can achieve different consensus. In this paper, the authors investigate the observer-based intra-cluster lag consensus problems of multi-agent systems (MASs) with general linear dynamics and nonlinear dynamics via intermittent adaptive pinning control. The interaction network is considered to be weakly connected, i.e., it is not necessary to be strongly connected, in-degree balanced or contain a directed spanning tree. To realise the intra-cluster lag consensus, a class of observers is designed to estimate the states of followers. Then a class of observer-based intermittent adaptive pinning control protocols is proposed according to the difference that the agents receive information source. Moreover, the pinning gains are designed to be intermittent adaptive and have an exponential convergence rate, which will effectively reduce communication costs, avoid the pinning gains being larger than those needed in real applications and guarantee the pinning gains quickly converge to steady value. Correspondingly, some sufficient consensus criteria are derived and rigorous proofs are given based on matrix theory and Lyapunov stability theory. Finally, the effectiveness for the proposed intermittent adaptive pinning control strategy is validated by a numerical simulation.
dc.language	English
dc.publisher	SPRINGER HEIDELBERG
dc.relation.ispartof	Journal of Systems Science and Complexity
dc.relation.isbasedon	10.1007/s11424-023-1222-0
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	0102 Applied Mathematics, 0104 Statistics
dc.subject.classification	Industrial Engineering & Automation
dc.subject.classification	4901 Applied mathematics
dc.title	Observer-Based Intra-Cluster Lag Consensus of Multi-Agent Systems via Intermittent Adaptive Pinning Control
dc.type	Journal Article
utslib.citation.volume	36
utslib.for	0102 Applied Mathematics
utslib.for	0104 Statistics
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Strength - AAII - Australian Artificial Intelligence Institute
utslib.copyright.status	closed_access	*
dc.date.updated	2024-01-16T21:16:51Z
pubs.issue	5
pubs.publication-status	Published
pubs.volume	36
utslib.citation.issue	5

Abstract:

The intra-cluster lag consensus means that the agents in the same cluster can achieve lag consensus asymptotically while the agents in different clusters can achieve different consensus. In this paper, the authors investigate the observer-based intra-cluster lag consensus problems of multi-agent systems (MASs) with general linear dynamics and nonlinear dynamics via intermittent adaptive pinning control. The interaction network is considered to be weakly connected, i.e., it is not necessary to be strongly connected, in-degree balanced or contain a directed spanning tree. To realise the intra-cluster lag consensus, a class of observers is designed to estimate the states of followers. Then a class of observer-based intermittent adaptive pinning control protocols is proposed according to the difference that the agents receive information source. Moreover, the pinning gains are designed to be intermittent adaptive and have an exponential convergence rate, which will effectively reduce communication costs, avoid the pinning gains being larger than those needed in real applications and guarantee the pinning gains quickly converge to steady value. Correspondingly, some sufficient consensus criteria are derived and rigorous proofs are given based on matrix theory and Lyapunov stability theory. Finally, the effectiveness for the proposed intermittent adaptive pinning control strategy is validated by a numerical simulation.

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http://hdl.handle.net/10453/174628