Asymmetric Bipartite Consensus of Multi-Agent Systems under Periodic Detection Event-Triggered Mechanism

This paper investigates the periodic event-triggered asymmetric bipartite consensus problem of multi-agent systems (MASs) under structurally balanced undirected signed graphs. In order to reduce the consumption of communication resources and continuous detection in the control process of MASs, a nov...

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Main Authors: Wenxin Wang, Hongtao Ye, Wenguang Luo, Dan Huang
Format: Article
Language:English
Published: MDPI AG 2022-06-01
Series:Electronics
Subjects:
Online Access:https://www.mdpi.com/2079-9292/11/13/2036
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author Wenxin Wang
Hongtao Ye
Wenguang Luo
Dan Huang
author_facet Wenxin Wang
Hongtao Ye
Wenguang Luo
Dan Huang
author_sort Wenxin Wang
collection DOAJ
description This paper investigates the periodic event-triggered asymmetric bipartite consensus problem of multi-agent systems (MASs) under structurally balanced undirected signed graphs. In order to reduce the consumption of communication resources and continuous detection in the control process of MASs, a novel periodic detection event-triggered asymmetric bipartite consensus control protocol is proposed. In particular, each agent samples only in a fixed period. For each agent, two event conditions are given, and only when state error satisfies this event condition can the event be triggered. A new type of Laplacian matrix is constructed to achieve asymmetric bipartite consensus. The control method can guarantee the performance of MASs and have less communication resources. Based on the Lyapunov stability theorem and algebraic graph theory, the proposed periodic event-triggered control strategy is able to implement the asymmetric bipartite consensus when the topology is structurally balanced undirected signed graphs. The proposed method in this paper can reduce the restriction on the sampling period and automatically exclude Zeno behavior. Finally, the validity of the conclusion is verified by numerical simulation.
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spelling doaj.art-10629405736b49deb929c3cca45fe2612023-11-23T19:51:50ZengMDPI AGElectronics2079-92922022-06-011113203610.3390/electronics11132036Asymmetric Bipartite Consensus of Multi-Agent Systems under Periodic Detection Event-Triggered MechanismWenxin Wang0Hongtao Ye1Wenguang Luo2Dan Huang3School of Electrical Electronics and Computer Science, Guangxi University of Science and Technology, Liuzhou 545036, ChinaSchool of Electrical Electronics and Computer Science, Guangxi University of Science and Technology, Liuzhou 545036, ChinaSchool of Electrical Electronics and Computer Science, Guangxi University of Science and Technology, Liuzhou 545036, ChinaSchool of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou 510641, ChinaThis paper investigates the periodic event-triggered asymmetric bipartite consensus problem of multi-agent systems (MASs) under structurally balanced undirected signed graphs. In order to reduce the consumption of communication resources and continuous detection in the control process of MASs, a novel periodic detection event-triggered asymmetric bipartite consensus control protocol is proposed. In particular, each agent samples only in a fixed period. For each agent, two event conditions are given, and only when state error satisfies this event condition can the event be triggered. A new type of Laplacian matrix is constructed to achieve asymmetric bipartite consensus. The control method can guarantee the performance of MASs and have less communication resources. Based on the Lyapunov stability theorem and algebraic graph theory, the proposed periodic event-triggered control strategy is able to implement the asymmetric bipartite consensus when the topology is structurally balanced undirected signed graphs. The proposed method in this paper can reduce the restriction on the sampling period and automatically exclude Zeno behavior. Finally, the validity of the conclusion is verified by numerical simulation.https://www.mdpi.com/2079-9292/11/13/2036multi-agent systemsasymmetric bipartite consensusevent-triggered controlperiodic sampling
spellingShingle Wenxin Wang
Hongtao Ye
Wenguang Luo
Dan Huang
Asymmetric Bipartite Consensus of Multi-Agent Systems under Periodic Detection Event-Triggered Mechanism
Electronics
multi-agent systems
asymmetric bipartite consensus
event-triggered control
periodic sampling
title Asymmetric Bipartite Consensus of Multi-Agent Systems under Periodic Detection Event-Triggered Mechanism
title_full Asymmetric Bipartite Consensus of Multi-Agent Systems under Periodic Detection Event-Triggered Mechanism
title_fullStr Asymmetric Bipartite Consensus of Multi-Agent Systems under Periodic Detection Event-Triggered Mechanism
title_full_unstemmed Asymmetric Bipartite Consensus of Multi-Agent Systems under Periodic Detection Event-Triggered Mechanism
title_short Asymmetric Bipartite Consensus of Multi-Agent Systems under Periodic Detection Event-Triggered Mechanism
title_sort asymmetric bipartite consensus of multi agent systems under periodic detection event triggered mechanism
topic multi-agent systems
asymmetric bipartite consensus
event-triggered control
periodic sampling
url https://www.mdpi.com/2079-9292/11/13/2036
work_keys_str_mv AT wenxinwang asymmetricbipartiteconsensusofmultiagentsystemsunderperiodicdetectioneventtriggeredmechanism
AT hongtaoye asymmetricbipartiteconsensusofmultiagentsystemsunderperiodicdetectioneventtriggeredmechanism
AT wenguangluo asymmetricbipartiteconsensusofmultiagentsystemsunderperiodicdetectioneventtriggeredmechanism
AT danhuang asymmetricbipartiteconsensusofmultiagentsystemsunderperiodicdetectioneventtriggeredmechanism