Decentralized Adaptive Control for Quasi-Consensus in Heterogeneous Nonlinear Multiagent Systems

This paper proposes some novel decentralized adaptive control protocols to settle the quasi-consensus problem of multiagent systems with heterogeneous nonlinear dynamics. Based on local communication with the leader and between the followers, some innovative control protocols are put forward to adap...

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Main Authors: Jiaju An, Wei Yang, Xiaohui Xu, Tianxiang Chen, Bin Du, Yi Tang, Quan Xu
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2021/2230805
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author Jiaju An
Wei Yang
Xiaohui Xu
Tianxiang Chen
Bin Du
Yi Tang
Quan Xu
author_facet Jiaju An
Wei Yang
Xiaohui Xu
Tianxiang Chen
Bin Du
Yi Tang
Quan Xu
author_sort Jiaju An
collection DOAJ
description This paper proposes some novel decentralized adaptive control protocols to settle the quasi-consensus problem of multiagent systems with heterogeneous nonlinear dynamics. Based on local communication with the leader and between the followers, some innovative control protocols are put forward to adapt the control gains and coupling weights simultaneously and to steer the consensus errors to some bounded areas. In particular, two new inequalities are proposed to establish the Lyapunov-based adaptive controller design approach for quasi-consensus. Some quasi-consensus criteria are derived by utilizing the designed controllers, in which the error bound can be modulated on the basis of the adaptive controller parameters. Numerical tests are conducted to show the feasibility of the theoretical derivation. Our findings highlight quasi-consensus in heterogeneous multiagent systems without adding some additional complex nonlinear control terms to cancel the dynamical differences between agents.
format Article
id doaj-art-2502b41c2443495d81c85e3e0bdd4d3d
institution Kabale University
issn 1026-0226
1607-887X
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-2502b41c2443495d81c85e3e0bdd4d3d2025-02-03T05:45:11ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2021-01-01202110.1155/2021/22308052230805Decentralized Adaptive Control for Quasi-Consensus in Heterogeneous Nonlinear Multiagent SystemsJiaju An0Wei Yang1Xiaohui Xu2Tianxiang Chen3Bin Du4Yi Tang5Quan Xu6School of Mechanical Engineering, Xihua University, Chengdu 610039, ChinaSchool of Mechanical Engineering, Xihua University, Chengdu 610039, ChinaSchool of Automobile and Transportation, Xihua University, Chengdu 610039, ChinaSchool of Mechanical Engineering, Xihua University, Chengdu 610039, ChinaSchool of Mechanical Engineering, Xihua University, Chengdu 610039, ChinaSchool of Mechanical Engineering, Xihua University, Chengdu 610039, ChinaSchool of Mechanical Engineering, Xihua University, Chengdu 610039, ChinaThis paper proposes some novel decentralized adaptive control protocols to settle the quasi-consensus problem of multiagent systems with heterogeneous nonlinear dynamics. Based on local communication with the leader and between the followers, some innovative control protocols are put forward to adapt the control gains and coupling weights simultaneously and to steer the consensus errors to some bounded areas. In particular, two new inequalities are proposed to establish the Lyapunov-based adaptive controller design approach for quasi-consensus. Some quasi-consensus criteria are derived by utilizing the designed controllers, in which the error bound can be modulated on the basis of the adaptive controller parameters. Numerical tests are conducted to show the feasibility of the theoretical derivation. Our findings highlight quasi-consensus in heterogeneous multiagent systems without adding some additional complex nonlinear control terms to cancel the dynamical differences between agents.http://dx.doi.org/10.1155/2021/2230805
spellingShingle Jiaju An
Wei Yang
Xiaohui Xu
Tianxiang Chen
Bin Du
Yi Tang
Quan Xu
Decentralized Adaptive Control for Quasi-Consensus in Heterogeneous Nonlinear Multiagent Systems
Discrete Dynamics in Nature and Society
title Decentralized Adaptive Control for Quasi-Consensus in Heterogeneous Nonlinear Multiagent Systems
title_full Decentralized Adaptive Control for Quasi-Consensus in Heterogeneous Nonlinear Multiagent Systems
title_fullStr Decentralized Adaptive Control for Quasi-Consensus in Heterogeneous Nonlinear Multiagent Systems
title_full_unstemmed Decentralized Adaptive Control for Quasi-Consensus in Heterogeneous Nonlinear Multiagent Systems
title_short Decentralized Adaptive Control for Quasi-Consensus in Heterogeneous Nonlinear Multiagent Systems
title_sort decentralized adaptive control for quasi consensus in heterogeneous nonlinear multiagent systems
url http://dx.doi.org/10.1155/2021/2230805
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