Consensus of the General Second-Order MASs with Nonuniform Uncertain Time-Varying Communication Delays

Xiongtao Shi; Yanjie Li; Chenglong Du

doi:10.1109/CAC59555.2023.10450933

Consensus of the General Second-Order MASs with Nonuniform Uncertain Time-Varying Communication Delays

Xiongtao Shi
, Yanjie Li^*
, Chenglong Du

^*Corresponding author for this work

Harbin Institute of Technology Shenzhen
Guangdong Key Laboratory of Intelligent Morphing Mechanisms and Adaptive Robotics
School of Automation

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

This paper delves into the investigation of the consensus problem of general second-order multi-agent systems (MASs) with nonuniform uncertain time-varying communication delays. With the directed graph having a spanning tree, a distributed control protocol is proposed to achieve the consensus among all agents. By leveraging the Lyapunov-Krasovskii function and Jensen Inequality, the paper derives sufficient conditions for the consensus with communication delay. The algorithm also presents an upper bound for the admissible communication delay even in the presence of nonuniform uncertain and time-varying communication delays. The correctness is finally illustrated through numerical simulations.

Original language	English
Title of host publication	Proceedings - 2023 China Automation Congress, CAC 2023
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	8174-8179
Number of pages	6
ISBN (Electronic)	9798350303759
DOIs	https://doi.org/10.1109/CAC59555.2023.10450933
State	Published - 2023
Externally published	Yes
Event	2023 China Automation Congress, CAC 2023 - Chongqing, China Duration: 17 Nov 2023 → 19 Nov 2023

Publication series

Name	Proceedings - 2023 China Automation Congress, CAC 2023

Conference

Conference	2023 China Automation Congress, CAC 2023
Country/Territory	China
City	Chongqing
Period	17/11/23 → 19/11/23

Keywords

General second-order multi-agent systems
Lyapunov-Krasovskii function
directed graph
nonuniform uncertain time-varying communication delays

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10.1109/CAC59555.2023.10450933

Cite this

Shi, X., Li, Y., & Du, C. (2023). Consensus of the General Second-Order MASs with Nonuniform Uncertain Time-Varying Communication Delays. In Proceedings - 2023 China Automation Congress, CAC 2023 (pp. 8174-8179). (Proceedings - 2023 China Automation Congress, CAC 2023). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CAC59555.2023.10450933

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title = "Consensus of the General Second-Order MASs with Nonuniform Uncertain Time-Varying Communication Delays",

abstract = "This paper delves into the investigation of the consensus problem of general second-order multi-agent systems (MASs) with nonuniform uncertain time-varying communication delays. With the directed graph having a spanning tree, a distributed control protocol is proposed to achieve the consensus among all agents. By leveraging the Lyapunov-Krasovskii function and Jensen Inequality, the paper derives sufficient conditions for the consensus with communication delay. The algorithm also presents an upper bound for the admissible communication delay even in the presence of nonuniform uncertain and time-varying communication delays. The correctness is finally illustrated through numerical simulations.",

keywords = "General second-order multi-agent systems, Lyapunov-Krasovskii function, directed graph, nonuniform uncertain time-varying communication delays",

author = "Xiongtao Shi and Yanjie Li and Chenglong Du",

note = "Publisher Copyright: {\textcopyright} 2023 IEEE.; 2023 China Automation Congress, CAC 2023 ; Conference date: 17-11-2023 Through 19-11-2023",

year = "2023",

doi = "10.1109/CAC59555.2023.10450933",

language = "英语",

series = "Proceedings - 2023 China Automation Congress, CAC 2023",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "8174--8179",

booktitle = "Proceedings - 2023 China Automation Congress, CAC 2023",

address = "美国",

}

Shi, X, Li, Y & Du, C 2023, Consensus of the General Second-Order MASs with Nonuniform Uncertain Time-Varying Communication Delays. in Proceedings - 2023 China Automation Congress, CAC 2023. Proceedings - 2023 China Automation Congress, CAC 2023, Institute of Electrical and Electronics Engineers Inc., pp. 8174-8179, 2023 China Automation Congress, CAC 2023, Chongqing, China, 17/11/23. https://doi.org/10.1109/CAC59555.2023.10450933

Consensus of the General Second-Order MASs with Nonuniform Uncertain Time-Varying Communication Delays. / Shi, Xiongtao; Li, Yanjie; Du, Chenglong.
Proceedings - 2023 China Automation Congress, CAC 2023. Institute of Electrical and Electronics Engineers Inc., 2023. p. 8174-8179 (Proceedings - 2023 China Automation Congress, CAC 2023).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Li, Yanjie

AU - Du, Chenglong

PY - 2023

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N2 - This paper delves into the investigation of the consensus problem of general second-order multi-agent systems (MASs) with nonuniform uncertain time-varying communication delays. With the directed graph having a spanning tree, a distributed control protocol is proposed to achieve the consensus among all agents. By leveraging the Lyapunov-Krasovskii function and Jensen Inequality, the paper derives sufficient conditions for the consensus with communication delay. The algorithm also presents an upper bound for the admissible communication delay even in the presence of nonuniform uncertain and time-varying communication delays. The correctness is finally illustrated through numerical simulations.

AB - This paper delves into the investigation of the consensus problem of general second-order multi-agent systems (MASs) with nonuniform uncertain time-varying communication delays. With the directed graph having a spanning tree, a distributed control protocol is proposed to achieve the consensus among all agents. By leveraging the Lyapunov-Krasovskii function and Jensen Inequality, the paper derives sufficient conditions for the consensus with communication delay. The algorithm also presents an upper bound for the admissible communication delay even in the presence of nonuniform uncertain and time-varying communication delays. The correctness is finally illustrated through numerical simulations.

KW - General second-order multi-agent systems

KW - Lyapunov-Krasovskii function

KW - directed graph

KW - nonuniform uncertain time-varying communication delays

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SP - 8174

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BT - Proceedings - 2023 China Automation Congress, CAC 2023

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2023 China Automation Congress, CAC 2023

Y2 - 17 November 2023 through 19 November 2023

ER -

Consensus of the General Second-Order MASs with Nonuniform Uncertain Time-Varying Communication Delays

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