Group Consensus with a Dynamic Leader for Multiagent Systems via Sampled-Data Control

This paper considers a group consensus problem with a dynamic leader for multiagent systems in a sampled-data setting. With the leader’s state available to only a fraction of the followers, a distributed linear protocol based on sampled-data control is proposed for group consensus under fixed direct...

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Main Authors: Hong Xia, Ting-Zhu Huang, Jin-Liang Shao, Jun-Yan Yu
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2014/129410
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author Hong Xia
Ting-Zhu Huang
Jin-Liang Shao
Jun-Yan Yu
author_facet Hong Xia
Ting-Zhu Huang
Jin-Liang Shao
Jun-Yan Yu
author_sort Hong Xia
collection DOAJ
description This paper considers a group consensus problem with a dynamic leader for multiagent systems in a sampled-data setting. With the leader’s state available to only a fraction of the followers, a distributed linear protocol based on sampled-data control is proposed for group consensus under fixed directed topology. On basis of M-matrix theory, we derive a sufficient condition on the sampling period and the control parameter for ultimate boundedness of the tracking errors. Furthermore, simulation examples are provided to demonstrate the effectiveness of the theoretical results.
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institution Kabale University
issn 1026-0226
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language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-40b632725a3c4ee7b03bc27d6124267f2025-02-03T01:20:14ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/129410129410Group Consensus with a Dynamic Leader for Multiagent Systems via Sampled-Data ControlHong Xia0Ting-Zhu Huang1Jin-Liang Shao2Jun-Yan Yu3School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, ChinaSchool of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, ChinaSchool of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, ChinaSchool of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, ChinaThis paper considers a group consensus problem with a dynamic leader for multiagent systems in a sampled-data setting. With the leader’s state available to only a fraction of the followers, a distributed linear protocol based on sampled-data control is proposed for group consensus under fixed directed topology. On basis of M-matrix theory, we derive a sufficient condition on the sampling period and the control parameter for ultimate boundedness of the tracking errors. Furthermore, simulation examples are provided to demonstrate the effectiveness of the theoretical results.http://dx.doi.org/10.1155/2014/129410
spellingShingle Hong Xia
Ting-Zhu Huang
Jin-Liang Shao
Jun-Yan Yu
Group Consensus with a Dynamic Leader for Multiagent Systems via Sampled-Data Control
Discrete Dynamics in Nature and Society
title Group Consensus with a Dynamic Leader for Multiagent Systems via Sampled-Data Control
title_full Group Consensus with a Dynamic Leader for Multiagent Systems via Sampled-Data Control
title_fullStr Group Consensus with a Dynamic Leader for Multiagent Systems via Sampled-Data Control
title_full_unstemmed Group Consensus with a Dynamic Leader for Multiagent Systems via Sampled-Data Control
title_short Group Consensus with a Dynamic Leader for Multiagent Systems via Sampled-Data Control
title_sort group consensus with a dynamic leader for multiagent systems via sampled data control
url http://dx.doi.org/10.1155/2014/129410
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AT tingzhuhuang groupconsensuswithadynamicleaderformultiagentsystemsviasampleddatacontrol
AT jinliangshao groupconsensuswithadynamicleaderformultiagentsystemsviasampleddatacontrol
AT junyanyu groupconsensuswithadynamicleaderformultiagentsystemsviasampleddatacontrol