Leader-following consensus of linear fractional-order multi-agent systems via event-triggered control strategy

Bo Chen; Jiangping Hu; Yiyi Zhao; Bijoy Kumar Ghosh

doi:10.1016/j.ifacol.2020.12.964

Leader-following consensus of linear fractional-order multi-agent systems via event-triggered control strategy

Bo Chen, Jiangping Hu, Yiyi Zhao, Bijoy Kumar Ghosh

Mathematics and Statistics

Research output: Contribution to journal › Conference article › peer-review

Abstract

Many complex systems can be more accurately described by fractional-order models. In this paper, a leader-following consensus problem of fractional-order multi-agent systems (FOMASs) is firstly formulated and then an event-trigger consensus control is proposed for each agent. Under the assumption that the interconnection network topology has a spanning tree, consensus of the closed-loop FOMAS is analyzed with the help of the Mittag-Leffler functions and stability theory of fractional-order differential equations. It is shown that Zeno behavior can be avoided. Simulation results are presented to demonstrate the effectiveness of the theoretical results.

Original language	English
Pages (from-to)	2909-2914
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	53
Issue number	2
DOIs	https://doi.org/10.1016/j.ifacol.2020.12.964
State	Published - 2020
Event	21st IFAC World Congress 2020 - Berlin, Germany Duration: Jul 12 2020 → Jul 17 2020

Keywords

Distributed event-trigger control
Fractional-order multi-agent system
Leader-following consensus
Mittag-Leffler function
Zeno behavior

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10.1016/j.ifacol.2020.12.964

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@article{bf3f3fdb9c454a198c9d32d2c4eced8f,

title = "Leader-following consensus of linear fractional-order multi-agent systems via event-triggered control strategy",

abstract = "Many complex systems can be more accurately described by fractional-order models. In this paper, a leader-following consensus problem of fractional-order multi-agent systems (FOMASs) is firstly formulated and then an event-trigger consensus control is proposed for each agent. Under the assumption that the interconnection network topology has a spanning tree, consensus of the closed-loop FOMAS is analyzed with the help of the Mittag-Leffler functions and stability theory of fractional-order differential equations. It is shown that Zeno behavior can be avoided. Simulation results are presented to demonstrate the effectiveness of the theoretical results.",

keywords = "Distributed event-trigger control, Fractional-order multi-agent system, Leader-following consensus, Mittag-Leffler function, Zeno behavior",

author = "Bo Chen and Jiangping Hu and Yiyi Zhao and Ghosh, {Bijoy Kumar}",

note = "Funding Information: This work is supported partially by National Nature Science Foundation of China under Grants 61473061, 71503206, 61104104, the Sichuan Science and Technology Program under Grant 2020YFSY0012, the Fundamental Research Funds for the Central Universities Grant JBK2002021, and the Program for New Century Excellent Talents in University under Grant NCET-13-0091. Publisher Copyright: {\textcopyright} 2020 Elsevier B.V.. All rights reserved.; null ; Conference date: 12-07-2020 Through 17-07-2020",

year = "2020",

doi = "10.1016/j.ifacol.2020.12.964",

language = "English",

volume = "53",

pages = "2909--2914",

journal = "IFAC-PapersOnLine",

issn = "1474-6670",

number = "2",

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TY - JOUR

T1 - Leader-following consensus of linear fractional-order multi-agent systems via event-triggered control strategy

AU - Chen, Bo

AU - Hu, Jiangping

AU - Zhao, Yiyi

AU - Ghosh, Bijoy Kumar

N1 - Funding Information: This work is supported partially by National Nature Science Foundation of China under Grants 61473061, 71503206, 61104104, the Sichuan Science and Technology Program under Grant 2020YFSY0012, the Fundamental Research Funds for the Central Universities Grant JBK2002021, and the Program for New Century Excellent Talents in University under Grant NCET-13-0091. Publisher Copyright: © 2020 Elsevier B.V.. All rights reserved.

PY - 2020

Y1 - 2020

N2 - Many complex systems can be more accurately described by fractional-order models. In this paper, a leader-following consensus problem of fractional-order multi-agent systems (FOMASs) is firstly formulated and then an event-trigger consensus control is proposed for each agent. Under the assumption that the interconnection network topology has a spanning tree, consensus of the closed-loop FOMAS is analyzed with the help of the Mittag-Leffler functions and stability theory of fractional-order differential equations. It is shown that Zeno behavior can be avoided. Simulation results are presented to demonstrate the effectiveness of the theoretical results.

AB - Many complex systems can be more accurately described by fractional-order models. In this paper, a leader-following consensus problem of fractional-order multi-agent systems (FOMASs) is firstly formulated and then an event-trigger consensus control is proposed for each agent. Under the assumption that the interconnection network topology has a spanning tree, consensus of the closed-loop FOMAS is analyzed with the help of the Mittag-Leffler functions and stability theory of fractional-order differential equations. It is shown that Zeno behavior can be avoided. Simulation results are presented to demonstrate the effectiveness of the theoretical results.

KW - Distributed event-trigger control

KW - Fractional-order multi-agent system

KW - Leader-following consensus

KW - Mittag-Leffler function

KW - Zeno behavior

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U2 - 10.1016/j.ifacol.2020.12.964

DO - 10.1016/j.ifacol.2020.12.964

M3 - Conference article

AN - SCOPUS:85105080850

VL - 53

SP - 2909

EP - 2914

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

SN - 1474-6670

IS - 2

Y2 - 12 July 2020 through 17 July 2020

ER -

Leader-following consensus of linear fractional-order multi-agent systems via event-triggered control strategy

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