Robust consensus control of uncertain multi‐agent systems with input delay: a model reduction method

Summary This paper addresses the robust consensus control design for input‐delayed multi‐agent systems subject to parametric uncertainties. To deal with the input delay, the Artstein model reduction method is employed by a state transformation. The input‐dependent integral term that remains in the t...

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Published inInternational journal of robust and nonlinear control Vol. 27; no. 11; pp. 1874 - 1894
Main Authors Zuo, Zongyu, Wang, Chunyan, Ding, Zhengtao
Format Journal Article
LanguageEnglish
Published Bognor Regis Wiley Subscription Services, Inc 25.07.2017
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ISSN1049-8923
1099-1239
DOI10.1002/rnc.3642

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Abstract Summary This paper addresses the robust consensus control design for input‐delayed multi‐agent systems subject to parametric uncertainties. To deal with the input delay, the Artstein model reduction method is employed by a state transformation. The input‐dependent integral term that remains in the transformed system, owing to the model uncertainties, is judiciously analysed. By carefully exploring certain features of the Laplacian matrix, sufficient conditions for the global consensus under directed communication topology are identified using Lyapunov–Krasovskii functionals in the time domain. The proposed control only relies on relative state information of the subsystems via network connections. The effectiveness and robustness of the proposed control design are demonstrated through a numerical simulation example. Copyright © 2016 John Wiley & Sons, Ltd.
AbstractList This paper addresses the robust consensus control design for input‐delayed multi‐agent systems subject to parametric uncertainties. To deal with the input delay, the Artstein model reduction method is employed by a state transformation. The input‐dependent integral term that remains in the transformed system, owing to the model uncertainties, is judiciously analysed. By carefully exploring certain features of the Laplacian matrix, sufficient conditions for the global consensus under directed communication topology are identified using Lyapunov–Krasovskii functionals in the time domain. The proposed control only relies on relative state information of the subsystems via network connections. The effectiveness and robustness of the proposed control design are demonstrated through a numerical simulation example. Copyright © 2016 John Wiley & Sons, Ltd.
Summary This paper addresses the robust consensus control design for input‐delayed multi‐agent systems subject to parametric uncertainties. To deal with the input delay, the Artstein model reduction method is employed by a state transformation. The input‐dependent integral term that remains in the transformed system, owing to the model uncertainties, is judiciously analysed. By carefully exploring certain features of the Laplacian matrix, sufficient conditions for the global consensus under directed communication topology are identified using Lyapunov–Krasovskii functionals in the time domain. The proposed control only relies on relative state information of the subsystems via network connections. The effectiveness and robustness of the proposed control design are demonstrated through a numerical simulation example. Copyright © 2016 John Wiley & Sons, Ltd.
Summary This paper addresses the robust consensus control design for input-delayed multi-agent systems subject to parametric uncertainties. To deal with the input delay, the Artstein model reduction method is employed by a state transformation. The input-dependent integral term that remains in the transformed system, owing to the model uncertainties, is judiciously analysed. By carefully exploring certain features of the Laplacian matrix, sufficient conditions for the global consensus under directed communication topology are identified using Lyapunov-Krasovskii functionals in the time domain. The proposed control only relies on relative state information of the subsystems via network connections. The effectiveness and robustness of the proposed control design are demonstrated through a numerical simulation example. Copyright © 2016 John Wiley & Sons, Ltd.
Author Zuo, Zongyu
Ding, Zhengtao
Wang, Chunyan
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  surname: Ding
  fullname: Ding, Zhengtao
  email: zhengtao.ding@manchester.ac.uk
  organization: University of Manchester
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Snippet Summary This paper addresses the robust consensus control design for input‐delayed multi‐agent systems subject to parametric uncertainties. To deal with the...
This paper addresses the robust consensus control design for input‐delayed multi‐agent systems subject to parametric uncertainties. To deal with the input...
Summary This paper addresses the robust consensus control design for input-delayed multi-agent systems subject to parametric uncertainties. To deal with the...
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SubjectTerms Computer simulation
consensus control
Control systems
Delay
Functionals
input delay
Mathematical models
Model reduction
Multiagent systems
multi‐agent systems
parametric uncertainty
reduction method
Robust control
Robustness (mathematics)
Time domain analysis
Topology
Title Robust consensus control of uncertain multi‐agent systems with input delay: a model reduction method
URI https://onlinelibrary.wiley.com/doi/abs/10.1002%2Frnc.3642
https://www.proquest.com/docview/1909015186
Volume 27
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