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Cooperative fault-tolerant tracking control for multi-agent systems: A multiple description encoding scheme

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  • Wang, Xi
  • Ju, Yamei
  • Ding, Derui
  • Liu, Hongjian

Abstract

In this article, the cooperative fault-tolerant tracking control (FTTC) is investigated for discrete-time multi-agent systems (MASs) with time-varying delays (TVDs) under multiple description encoding schemes (MDESs). First, a uniform channel model is proposed to describe the employed MDES subject to the effect of packet dropouts by introducing two independent random variables obeying the Bernoulli distribution and three indicator variables. Subsequently, a novel intermediate estimator is designed to estimate both system states and a fictitious intermediate variable (an integration of faults and leader's inputs) based on relatively measured outputs. In terms of the Lyapunov stability theory, some sufficient conditions are acquired to guarantee that the closed-loop system is exponentially ultimately bounded in the mean-square sense. Furthermore, the desired gain matrices are obtained by resorting to both the graph feature and singular value decomposition. Finally, the effectiveness and superiority are tested by two simulation examples for the proposed tracking protocol.

Suggested Citation

  • Wang, Xi & Ju, Yamei & Ding, Derui & Liu, Hongjian, 2024. "Cooperative fault-tolerant tracking control for multi-agent systems: A multiple description encoding scheme," Applied Mathematics and Computation, Elsevier, vol. 462(C).
    • Handle: RePEc:eee:apmaco:v:462:y:2024:i:c:s0096300323005064
    DOI: 10.1016/j.amc.2023.128337
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    References listed on IDEAS

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    1. Wang, Yudong & Xia, Jianwei & Wang, Zhen & Shen, Hao, 2020. "Design of a fault-tolerant output-feedback controller for thickness control in cold rolling mills," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    2. Luyang Yu & Ying Cui & Yurong Liu & Naif D. Alotaibi & Fawaz E. Alsaadi, 2022. "Sampled-based consensus of multi-agent systems with bounded distributed time-delays and dynamic quantisation effects," International Journal of Systems Science, Taylor & Francis Journals, vol. 53(11), pages 2390-2406, August.
    3. Miao Cai & Xiao He & Donghua Zhou, 2022. "Performance-improved finite-time fault-tolerant control for linear uncertain systems with intermittent faults: an overshoot suppression strategy," International Journal of Systems Science, Taylor & Francis Journals, vol. 53(16), pages 3408-3425, December.
    4. Wenjing An & Peifeng Zhao & Hongjian Liu & Jun Hu, 2022. "Distributed multi-step subgradient projection algorithm with adaptive event-triggering protocols: a framework of multiagent systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 53(13), pages 2758-2772, October.
    5. Zewei Yang & Yurong Liu & Wenbing Zhang & Fawaz E. Alsaadi & Khalid H. Alharbi, 2022. "Differentially private containment control for multi-agent systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 53(13), pages 2814-2831, October.
    6. Jinghui Suo & Nan Li, 2022. "Observer-based synchronisation control for discrete-time delayed switched complex networks with coding–decoding approach," International Journal of Systems Science, Taylor & Francis Journals, vol. 53(13), pages 2711-2728, October.
    7. Ma, Yong-Sheng & Che, Wei-Wei & Deng, Chao, 2022. "Observer-Based fuzzy containment control for nonlinear networked mass under dos attacks," Applied Mathematics and Computation, Elsevier, vol. 421(C).
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