Adaptive fault-tolerant control for a class of nonlinear multi-agent systems with multiple unknown time-varying control directions

In this paper, we investigate the consensus tracking control for a class of heterogeneous multi-agent systems with multiple unknown time-varying control directions and unknown direction actuator faults. Different from existing work, the directions of the multiple time-varying control coefficients ar...

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Published inAutomatica (Oxford) Vol. 167; p. 111802
Main Authors Guo, Xiaoyu, Wang, Chenliang, Liu, Lu
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.09.2024
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Online AccessGet full text
ISSN0005-1098
DOI10.1016/j.automatica.2024.111802

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Abstract In this paper, we investigate the consensus tracking control for a class of heterogeneous multi-agent systems with multiple unknown time-varying control directions and unknown direction actuator faults. Different from existing work, the directions of the multiple time-varying control coefficients are subject to fault-induced sign-switching. To address this challenge, a series of high-order Lyapunov functions and differentiable functions are introduced to avoid non-integrable terms. Then, a novel contradiction statement and some Nussbaum functions are used to handle the summation of multiple unknown control coefficients with time-varying amplitudes and directions. Meanwhile, a novel distributed observer with quantized communication is introduced to track a reference trajectory with unknown dynamics. It is shown that all closed-loop signals are globally uniformly bounded and the tracking errors converge to residual sets that can be made arbitrarily small. Simulation results illustrate the effectiveness of the proposed scheme.
AbstractList In this paper, we investigate the consensus tracking control for a class of heterogeneous multi-agent systems with multiple unknown time-varying control directions and unknown direction actuator faults. Different from existing work, the directions of the multiple time-varying control coefficients are subject to fault-induced sign-switching. To address this challenge, a series of high-order Lyapunov functions and differentiable functions are introduced to avoid non-integrable terms. Then, a novel contradiction statement and some Nussbaum functions are used to handle the summation of multiple unknown control coefficients with time-varying amplitudes and directions. Meanwhile, a novel distributed observer with quantized communication is introduced to track a reference trajectory with unknown dynamics. It is shown that all closed-loop signals are globally uniformly bounded and the tracking errors converge to residual sets that can be made arbitrarily small. Simulation results illustrate the effectiveness of the proposed scheme.
ArticleNumber 111802
Author Guo, Xiaoyu
Wang, Chenliang
Liu, Lu
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  fullname: Liu, Lu
  email: luliu45@cityu.edu.hk
  organization: Department of Biomedical Engineering, City University of Hong Kong, Kowloon, Hong Kong Special Administrative Region
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Keywords Unknown directions
Consensus tracking
Adaptive control
Actuator faults
Multi-agent systems
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Snippet In this paper, we investigate the consensus tracking control for a class of heterogeneous multi-agent systems with multiple unknown time-varying control...
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SubjectTerms Actuator faults
Adaptive control
Consensus tracking
Multi-agent systems
Unknown directions
Title Adaptive fault-tolerant control for a class of nonlinear multi-agent systems with multiple unknown time-varying control directions
URI https://dx.doi.org/10.1016/j.automatica.2024.111802
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