Consensus of MASs With Input and Communication Delays by Predictor-Based Protocol

Hao Yuan Sun; Hong Yan Yang; Hong Gui Han; Jian Sun; Jun Fei Qiao

doi:10.1109/TCYB.2022.3192864

Consensus of MASs With Input and Communication Delays by Predictor-Based Protocol

Hao Yuan Sun, Hong Yan Yang, Hong Gui Han^*, Jian Sun, Jun Fei Qiao

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

22 Citations (Scopus)

Abstract

In this article, the consensus problem of multiagent systems (MASs) affected by input and communication delays is investigated. A predictor-based state feedback protocol is used to reach the consensus of linear MASs by delay compensation. In order to analyze the maximum delay under the predictor-based protocol, the overall MASs are equivalent to the feedback interconnection system, including a linear time-invariant system and a time-delay operator, in view of the characteristic of the Laplacian matrix. Then, the maximum delay corresponding to the predictor-based protocol is evaluated by using the small gain theorem (SGT). Finally, two numerical examples are given to verify the effectiveness of the obtained consensus condition.

Original language	English
Pages (from-to)	7126-7135
Number of pages	10
Journal	IEEE Transactions on Cybernetics
Volume	53
Issue number	11
DOIs	https://doi.org/10.1109/TCYB.2022.3192864
Publication status	Published - 1 Nov 2023
Externally published	Yes

Keywords

Consensus
linear multiagent systems (MASs)
predictor-based protocol
time delay

Access to Document

10.1109/TCYB.2022.3192864

Cite this

@article{cdf1eaee10144a33b2244e7ce0214e87,

title = "Consensus of MASs With Input and Communication Delays by Predictor-Based Protocol",

abstract = "In this article, the consensus problem of multiagent systems (MASs) affected by input and communication delays is investigated. A predictor-based state feedback protocol is used to reach the consensus of linear MASs by delay compensation. In order to analyze the maximum delay under the predictor-based protocol, the overall MASs are equivalent to the feedback interconnection system, including a linear time-invariant system and a time-delay operator, in view of the characteristic of the Laplacian matrix. Then, the maximum delay corresponding to the predictor-based protocol is evaluated by using the small gain theorem (SGT). Finally, two numerical examples are given to verify the effectiveness of the obtained consensus condition.",

keywords = "Consensus, linear multiagent systems (MASs), predictor-based protocol, time delay",

author = "Sun, \{Hao Yuan\} and Yang, \{Hong Yan\} and Han, \{Hong Gui\} and Jian Sun and Qiao, \{Jun Fei\}",

note = "Publisher Copyright: {\textcopyright} 2022 IEEE.",

year = "2023",

month = nov,

day = "1",

doi = "10.1109/TCYB.2022.3192864",

language = "English",

volume = "53",

pages = "7126--7135",

journal = "IEEE Transactions on Cybernetics",

issn = "2168-2267",

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

number = "11",

}

TY - JOUR

T1 - Consensus of MASs With Input and Communication Delays by Predictor-Based Protocol

AU - Sun, Hao Yuan

AU - Yang, Hong Yan

AU - Han, Hong Gui

AU - Sun, Jian

AU - Qiao, Jun Fei

PY - 2023/11/1

Y1 - 2023/11/1

N2 - In this article, the consensus problem of multiagent systems (MASs) affected by input and communication delays is investigated. A predictor-based state feedback protocol is used to reach the consensus of linear MASs by delay compensation. In order to analyze the maximum delay under the predictor-based protocol, the overall MASs are equivalent to the feedback interconnection system, including a linear time-invariant system and a time-delay operator, in view of the characteristic of the Laplacian matrix. Then, the maximum delay corresponding to the predictor-based protocol is evaluated by using the small gain theorem (SGT). Finally, two numerical examples are given to verify the effectiveness of the obtained consensus condition.

AB - In this article, the consensus problem of multiagent systems (MASs) affected by input and communication delays is investigated. A predictor-based state feedback protocol is used to reach the consensus of linear MASs by delay compensation. In order to analyze the maximum delay under the predictor-based protocol, the overall MASs are equivalent to the feedback interconnection system, including a linear time-invariant system and a time-delay operator, in view of the characteristic of the Laplacian matrix. Then, the maximum delay corresponding to the predictor-based protocol is evaluated by using the small gain theorem (SGT). Finally, two numerical examples are given to verify the effectiveness of the obtained consensus condition.

KW - Consensus

KW - linear multiagent systems (MASs)

KW - predictor-based protocol

KW - time delay

UR - https://www.scopus.com/pages/publications/85136906124

U2 - 10.1109/TCYB.2022.3192864

DO - 10.1109/TCYB.2022.3192864

M3 - Article

C2 - 35976832

AN - SCOPUS:85136906124

SN - 2168-2267

VL - 53

SP - 7126

EP - 7135

JO - IEEE Transactions on Cybernetics

JF - IEEE Transactions on Cybernetics

IS - 11

ER -

Consensus of MASs With Input and Communication Delays by Predictor-Based Protocol

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this