Finite-time Consensus for Third-Order Multi-Agent Systems with Directed Communication Networks

Xirui Zhang; Zhi Liang Zhao; Tengfei Liu; Zhong Ping Jiang

doi:10.1109/FASTA61401.2024.10595345

Finite-time Consensus for Third-Order Multi-Agent Systems with Directed Communication Networks

Xirui Zhang, Zhi Liang Zhao, Tengfei Liu, Zhong Ping Jiang

Electrical and Computer Engineering

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

Abstract

This paper focuses on third-order multi-agent systems with directed communication networks. It is for the first time that the finite-time consensus problem is solved for third-order multi-agent systems under digraphs containing spanning trees. Two explicit-coefficient finite-time protocols, namely, edge-based and node-based, are proposed. First, we prove that asymptotic consensus is achievable with the reduced linear protocol. Then, we show that finite-time consensus is achievable with our explicit-coefficient finite-time protocols through homogeneous theory. Finally, numerical simulations are carried out to demonstrate the effectiveness of the proposed protocols.

Original language	English (US)
Title of host publication	Proceedings of the 3rd Conference on Fully Actuated System Theory and Applications, FASTA 2024
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	511-516
Number of pages	6
ISBN (Electronic)	9798350373691
DOIs	https://doi.org/10.1109/FASTA61401.2024.10595345
State	Published - 2024
Event	3rd Conference on Fully Actuated System Theory and Applications, FASTA 2024 - Shenzhen, China Duration: May 10 2024 → May 12 2024

Publication series

Name	Proceedings of the 3rd Conference on Fully Actuated System Theory and Applications, FASTA 2024

Conference

Conference	3rd Conference on Fully Actuated System Theory and Applications, FASTA 2024
Country/Territory	China
City	Shenzhen
Period	5/10/24 → 5/12/24

Keywords

Directed Graph
Finite-Time Consensus
High-Order Systems
Multiagent Systems

ASJC Scopus subject areas

Control and Systems Engineering
Control and Optimization

Access to Document

10.1109/FASTA61401.2024.10595345

Cite this

Zhang, X., Zhao, Z. L., Liu, T., & Jiang, Z. P. (2024). Finite-time Consensus for Third-Order Multi-Agent Systems with Directed Communication Networks. In Proceedings of the 3rd Conference on Fully Actuated System Theory and Applications, FASTA 2024 (pp. 511-516). (Proceedings of the 3rd Conference on Fully Actuated System Theory and Applications, FASTA 2024). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/FASTA61401.2024.10595345

Finite-time Consensus for Third-Order Multi-Agent Systems with Directed Communication Networks. / Zhang, Xirui; Zhao, Zhi Liang; Liu, Tengfei et al.
Proceedings of the 3rd Conference on Fully Actuated System Theory and Applications, FASTA 2024. Institute of Electrical and Electronics Engineers Inc., 2024. p. 511-516 (Proceedings of the 3rd Conference on Fully Actuated System Theory and Applications, FASTA 2024).

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

Zhang, X, Zhao, ZL, Liu, T & Jiang, ZP 2024, Finite-time Consensus for Third-Order Multi-Agent Systems with Directed Communication Networks. in Proceedings of the 3rd Conference on Fully Actuated System Theory and Applications, FASTA 2024. Proceedings of the 3rd Conference on Fully Actuated System Theory and Applications, FASTA 2024, Institute of Electrical and Electronics Engineers Inc., pp. 511-516, 3rd Conference on Fully Actuated System Theory and Applications, FASTA 2024, Shenzhen, China, 5/10/24. https://doi.org/10.1109/FASTA61401.2024.10595345

Zhang X, Zhao ZL, Liu T, Jiang ZP. Finite-time Consensus for Third-Order Multi-Agent Systems with Directed Communication Networks. In Proceedings of the 3rd Conference on Fully Actuated System Theory and Applications, FASTA 2024. Institute of Electrical and Electronics Engineers Inc. 2024. p. 511-516. (Proceedings of the 3rd Conference on Fully Actuated System Theory and Applications, FASTA 2024). doi: 10.1109/FASTA61401.2024.10595345

Zhang, Xirui ; Zhao, Zhi Liang ; Liu, Tengfei et al. / Finite-time Consensus for Third-Order Multi-Agent Systems with Directed Communication Networks. Proceedings of the 3rd Conference on Fully Actuated System Theory and Applications, FASTA 2024. Institute of Electrical and Electronics Engineers Inc., 2024. pp. 511-516 (Proceedings of the 3rd Conference on Fully Actuated System Theory and Applications, FASTA 2024).

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title = "Finite-time Consensus for Third-Order Multi-Agent Systems with Directed Communication Networks",

abstract = "This paper focuses on third-order multi-agent systems with directed communication networks. It is for the first time that the finite-time consensus problem is solved for third-order multi-agent systems under digraphs containing spanning trees. Two explicit-coefficient finite-time protocols, namely, edge-based and node-based, are proposed. First, we prove that asymptotic consensus is achievable with the reduced linear protocol. Then, we show that finite-time consensus is achievable with our explicit-coefficient finite-time protocols through homogeneous theory. Finally, numerical simulations are carried out to demonstrate the effectiveness of the proposed protocols.",

keywords = "Directed Graph, Finite-Time Consensus, High-Order Systems, Multiagent Systems",

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N2 - This paper focuses on third-order multi-agent systems with directed communication networks. It is for the first time that the finite-time consensus problem is solved for third-order multi-agent systems under digraphs containing spanning trees. Two explicit-coefficient finite-time protocols, namely, edge-based and node-based, are proposed. First, we prove that asymptotic consensus is achievable with the reduced linear protocol. Then, we show that finite-time consensus is achievable with our explicit-coefficient finite-time protocols through homogeneous theory. Finally, numerical simulations are carried out to demonstrate the effectiveness of the proposed protocols.

AB - This paper focuses on third-order multi-agent systems with directed communication networks. It is for the first time that the finite-time consensus problem is solved for third-order multi-agent systems under digraphs containing spanning trees. Two explicit-coefficient finite-time protocols, namely, edge-based and node-based, are proposed. First, we prove that asymptotic consensus is achievable with the reduced linear protocol. Then, we show that finite-time consensus is achievable with our explicit-coefficient finite-time protocols through homogeneous theory. Finally, numerical simulations are carried out to demonstrate the effectiveness of the proposed protocols.

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KW - Multiagent Systems

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Finite-time Consensus for Third-Order Multi-Agent Systems with Directed Communication Networks

Abstract

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Keywords

ASJC Scopus subject areas

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