Consensus for Multiagent Systems with Nonlinear Dynamics and Time Delays Using a Two-Hop Relay Adaptive Method

This paper investigates the consensus problem for multiagent systems with nonlinear dynamics and time delays. A distributed adaptive consensus protocol is proposed in which the time delays are explicitly included in the adaptive algorithm. It is shown that the resultant closed loop system involves d...

Full description

Bibliographic Details
Main Authors: Qian Cao, Y. D. Song, Lei Wang, Feng Yang
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/792360
id doaj-2c76d59a4de54521ba1963d86a9a2253
record_format Article
spelling doaj-2c76d59a4de54521ba1963d86a9a22532020-11-24T23:28:51ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/792360792360Consensus for Multiagent Systems with Nonlinear Dynamics and Time Delays Using a Two-Hop Relay Adaptive MethodQian Cao0Y. D. Song1Lei Wang2Feng Yang3School of Energy Science and Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaSchool of Energy Science and Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaSchool of Energy Science and Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaSchool of Energy Science and Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaThis paper investigates the consensus problem for multiagent systems with nonlinear dynamics and time delays. A distributed adaptive consensus protocol is proposed in which the time delays are explicitly included in the adaptive algorithm. It is shown that the resultant closed loop system involves doubly larger time delays, making the stability analysis nontrivial. Stability condition on maximum tolerable time delay is established and controlled by the proposed two-hop adaptive algorithm. The explicit expression of the delay margin is derived and analyzed in the frequency domain. Both the agent state errors and the estimation parameter errors converge to zero. A simulation example is illustrated to verify the theory results.http://dx.doi.org/10.1155/2014/792360
collection DOAJ
language English
format Article
sources DOAJ
author Qian Cao
Y. D. Song
Lei Wang
Feng Yang
spellingShingle Qian Cao
Y. D. Song
Lei Wang
Feng Yang
Consensus for Multiagent Systems with Nonlinear Dynamics and Time Delays Using a Two-Hop Relay Adaptive Method
Abstract and Applied Analysis
author_facet Qian Cao
Y. D. Song
Lei Wang
Feng Yang
author_sort Qian Cao
title Consensus for Multiagent Systems with Nonlinear Dynamics and Time Delays Using a Two-Hop Relay Adaptive Method
title_short Consensus for Multiagent Systems with Nonlinear Dynamics and Time Delays Using a Two-Hop Relay Adaptive Method
title_full Consensus for Multiagent Systems with Nonlinear Dynamics and Time Delays Using a Two-Hop Relay Adaptive Method
title_fullStr Consensus for Multiagent Systems with Nonlinear Dynamics and Time Delays Using a Two-Hop Relay Adaptive Method
title_full_unstemmed Consensus for Multiagent Systems with Nonlinear Dynamics and Time Delays Using a Two-Hop Relay Adaptive Method
title_sort consensus for multiagent systems with nonlinear dynamics and time delays using a two-hop relay adaptive method
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description This paper investigates the consensus problem for multiagent systems with nonlinear dynamics and time delays. A distributed adaptive consensus protocol is proposed in which the time delays are explicitly included in the adaptive algorithm. It is shown that the resultant closed loop system involves doubly larger time delays, making the stability analysis nontrivial. Stability condition on maximum tolerable time delay is established and controlled by the proposed two-hop adaptive algorithm. The explicit expression of the delay margin is derived and analyzed in the frequency domain. Both the agent state errors and the estimation parameter errors converge to zero. A simulation example is illustrated to verify the theory results.
url http://dx.doi.org/10.1155/2014/792360
work_keys_str_mv AT qiancao consensusformultiagentsystemswithnonlineardynamicsandtimedelaysusingatwohoprelayadaptivemethod
AT ydsong consensusformultiagentsystemswithnonlineardynamicsandtimedelaysusingatwohoprelayadaptivemethod
AT leiwang consensusformultiagentsystemswithnonlineardynamicsandtimedelaysusingatwohoprelayadaptivemethod
AT fengyang consensusformultiagentsystemswithnonlineardynamicsandtimedelaysusingatwohoprelayadaptivemethod
_version_ 1725547587135602688