Consensus of Multiagent Systems with Packet Losses and Communication Delays Using a Novel Control Protocol

This paper studies the consensus problem of multiagent system with packet losses and communication delays under directed communication channels. Different from previous research results, a novel control protocol is proposed depending only on periodic sampling and transmitting data in order to be con...

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Main Authors: Zheping Yan, Di Wu, Wei Zhang, Yibo Liu
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/159609
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author Zheping Yan
Di Wu
Wei Zhang
Yibo Liu
author_facet Zheping Yan
Di Wu
Wei Zhang
Yibo Liu
author_sort Zheping Yan
collection DOAJ
description This paper studies the consensus problem of multiagent system with packet losses and communication delays under directed communication channels. Different from previous research results, a novel control protocol is proposed depending only on periodic sampling and transmitting data in order to be convenient for practical implementation. Due to the randomicity of transmission delays and packet losses, each agent updates its input value asynchronously at discrete time instants with synchronized time stamped information and evolves in continuous time. Consensus conditions for multiagent system consists of three typical dynamics including single integrator, double integrator, and high-order integrator that are all discussed in this paper. It is proved that, for single integrator agents and double integrator systems with only communication delays, consensusability can be ensured through stochastic matrix theory if the designed communication topology contains a directed spanning tree. While, for double integrator agents and high-order integrator agents with packet losses and communication delays, the interval system theory is introduced to prove the consensus of multiagent system under the condition that the designed communication topology is a directed spanning tree. Finally, simulations are carried out to validate the effectiveness of the proposed solutions.
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institution Kabale University
issn 1085-3375
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language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-804fd7ce3dc34b57823dc85df888b4b72025-08-20T03:35:12ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/159609159609Consensus of Multiagent Systems with Packet Losses and Communication Delays Using a Novel Control ProtocolZheping Yan0Di Wu1Wei Zhang2Yibo Liu3College of Automation, Harbin Engineering University, Heilongjiang 150001, ChinaCollege of Automation, Harbin Engineering University, Heilongjiang 150001, ChinaCollege of Automation, Harbin Engineering University, Heilongjiang 150001, ChinaCollege of Automation, Harbin Engineering University, Heilongjiang 150001, ChinaThis paper studies the consensus problem of multiagent system with packet losses and communication delays under directed communication channels. Different from previous research results, a novel control protocol is proposed depending only on periodic sampling and transmitting data in order to be convenient for practical implementation. Due to the randomicity of transmission delays and packet losses, each agent updates its input value asynchronously at discrete time instants with synchronized time stamped information and evolves in continuous time. Consensus conditions for multiagent system consists of three typical dynamics including single integrator, double integrator, and high-order integrator that are all discussed in this paper. It is proved that, for single integrator agents and double integrator systems with only communication delays, consensusability can be ensured through stochastic matrix theory if the designed communication topology contains a directed spanning tree. While, for double integrator agents and high-order integrator agents with packet losses and communication delays, the interval system theory is introduced to prove the consensus of multiagent system under the condition that the designed communication topology is a directed spanning tree. Finally, simulations are carried out to validate the effectiveness of the proposed solutions.http://dx.doi.org/10.1155/2014/159609
spellingShingle Zheping Yan
Di Wu
Wei Zhang
Yibo Liu
Consensus of Multiagent Systems with Packet Losses and Communication Delays Using a Novel Control Protocol
Abstract and Applied Analysis
title Consensus of Multiagent Systems with Packet Losses and Communication Delays Using a Novel Control Protocol
title_full Consensus of Multiagent Systems with Packet Losses and Communication Delays Using a Novel Control Protocol
title_fullStr Consensus of Multiagent Systems with Packet Losses and Communication Delays Using a Novel Control Protocol
title_full_unstemmed Consensus of Multiagent Systems with Packet Losses and Communication Delays Using a Novel Control Protocol
title_short Consensus of Multiagent Systems with Packet Losses and Communication Delays Using a Novel Control Protocol
title_sort consensus of multiagent systems with packet losses and communication delays using a novel control protocol
url http://dx.doi.org/10.1155/2014/159609
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AT diwu consensusofmultiagentsystemswithpacketlossesandcommunicationdelaysusinganovelcontrolprotocol
AT weizhang consensusofmultiagentsystemswithpacketlossesandcommunicationdelaysusinganovelcontrolprotocol
AT yiboliu consensusofmultiagentsystemswithpacketlossesandcommunicationdelaysusinganovelcontrolprotocol