Delayed consensus control of high-order multi-agent systems via distributed reduced-order observer

Qiuzhen Wang; Jiangping Hu; Bijoy K. Ghosh

doi:10.23919/ChiCC.2019.8865963

Delayed consensus control of high-order multi-agent systems via distributed reduced-order observer

Qiuzhen Wang, Jiangping Hu, Bijoy K. Ghosh

Mathematics and Statistics

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

1 Scopus citations

Abstract

In this study, we investigate the consensus problem of high-order multi-agent systems (MASs) under directed topology. First, a distributed control scheme based on a reduced-order protocol, which only receives the relevant output measurement values of its neighbors through the network, is designed for MASs when communication delays are present. Second, with the help of the Sylvester equation, Riccati equation, and algebraic graph theory, a multi-step algorithm is proposed to construct the parameters involved in the designed protocol. Third, the convergence with respect to communication delays is analyzed, with the maximum estimated time delay obtained. Finally, an example is provided to illustrate the feasibility and effectiveness of the proposed theoretical results.

Original language	English
Title of host publication	Proceedings of the 38th Chinese Control Conference, CCC 2019
Editors	Minyue Fu, Jian Sun
Publisher	IEEE Computer Society
Pages	5984-5989
Number of pages	6
ISBN (Electronic)	9789881563972
DOIs	https://doi.org/10.23919/ChiCC.2019.8865963
State	Published - Jul 2019
Event	38th Chinese Control Conference, CCC 2019 - Guangzhou, China Duration: Jul 27 2019 → Jul 30 2019

Publication series

Name	Chinese Control Conference, CCC
Volume	2019-July
ISSN (Print)	1934-1768
ISSN (Electronic)	2161-2927

Conference

Conference	38th Chinese Control Conference, CCC 2019
Country/Territory	China
City	Guangzhou
Period	07/27/19 → 07/30/19

Keywords

Communication delays
Consensus
Directed topology
High-order multi-agent system
Reduced-order observer

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10.23919/ChiCC.2019.8865963

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Wang, Q., Hu, J., & Ghosh, B. K. (2019). Delayed consensus control of high-order multi-agent systems via distributed reduced-order observer. In M. Fu, & J. Sun (Eds.), Proceedings of the 38th Chinese Control Conference, CCC 2019 (pp. 5984-5989). Article 8865963 (Chinese Control Conference, CCC; Vol. 2019-July). IEEE Computer Society. https://doi.org/10.23919/ChiCC.2019.8865963

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title = "Delayed consensus control of high-order multi-agent systems via distributed reduced-order observer",

abstract = "In this study, we investigate the consensus problem of high-order multi-agent systems (MASs) under directed topology. First, a distributed control scheme based on a reduced-order protocol, which only receives the relevant output measurement values of its neighbors through the network, is designed for MASs when communication delays are present. Second, with the help of the Sylvester equation, Riccati equation, and algebraic graph theory, a multi-step algorithm is proposed to construct the parameters involved in the designed protocol. Third, the convergence with respect to communication delays is analyzed, with the maximum estimated time delay obtained. Finally, an example is provided to illustrate the feasibility and effectiveness of the proposed theoretical results.",

keywords = "Communication delays, Consensus, Directed topology, High-order multi-agent system, Reduced-order observer",

author = "Qiuzhen Wang and Jiangping Hu and Ghosh, {Bijoy K.}",

note = "Publisher Copyright: {\textcopyright} 2019 Technical Committee on Control Theory, Chinese Association of Automation.; 38th Chinese Control Conference, CCC 2019 ; Conference date: 27-07-2019 Through 30-07-2019",

year = "2019",

month = jul,

doi = "10.23919/ChiCC.2019.8865963",

language = "English",

series = "Chinese Control Conference, CCC",

publisher = "IEEE Computer Society",

pages = "5984--5989",

editor = "Minyue Fu and Jian Sun",

booktitle = "Proceedings of the 38th Chinese Control Conference, CCC 2019",

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Wang, Q, Hu, J & Ghosh, BK 2019, Delayed consensus control of high-order multi-agent systems via distributed reduced-order observer. in M Fu & J Sun (eds), Proceedings of the 38th Chinese Control Conference, CCC 2019., 8865963, Chinese Control Conference, CCC, vol. 2019-July, IEEE Computer Society, pp. 5984-5989, 38th Chinese Control Conference, CCC 2019, Guangzhou, China, 07/27/19. https://doi.org/10.23919/ChiCC.2019.8865963

Delayed consensus control of high-order multi-agent systems via distributed reduced-order observer. / Wang, Qiuzhen; Hu, Jiangping; Ghosh, Bijoy K.
Proceedings of the 38th Chinese Control Conference, CCC 2019. ed. / Minyue Fu; Jian Sun. IEEE Computer Society, 2019. p. 5984-5989 8865963 (Chinese Control Conference, CCC; Vol. 2019-July).

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

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AU - Hu, Jiangping

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N2 - In this study, we investigate the consensus problem of high-order multi-agent systems (MASs) under directed topology. First, a distributed control scheme based on a reduced-order protocol, which only receives the relevant output measurement values of its neighbors through the network, is designed for MASs when communication delays are present. Second, with the help of the Sylvester equation, Riccati equation, and algebraic graph theory, a multi-step algorithm is proposed to construct the parameters involved in the designed protocol. Third, the convergence with respect to communication delays is analyzed, with the maximum estimated time delay obtained. Finally, an example is provided to illustrate the feasibility and effectiveness of the proposed theoretical results.

AB - In this study, we investigate the consensus problem of high-order multi-agent systems (MASs) under directed topology. First, a distributed control scheme based on a reduced-order protocol, which only receives the relevant output measurement values of its neighbors through the network, is designed for MASs when communication delays are present. Second, with the help of the Sylvester equation, Riccati equation, and algebraic graph theory, a multi-step algorithm is proposed to construct the parameters involved in the designed protocol. Third, the convergence with respect to communication delays is analyzed, with the maximum estimated time delay obtained. Finally, an example is provided to illustrate the feasibility and effectiveness of the proposed theoretical results.

KW - Communication delays

KW - Consensus

KW - Directed topology

KW - High-order multi-agent system

KW - Reduced-order observer

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Delayed consensus control of high-order multi-agent systems via distributed reduced-order observer

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