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Fixed-time active fault-tolerant control for dynamical systems with intermittent faults and unknown disturbances

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Listed:
  • Cheng, Xuanrui
  • Gao, Ming
  • Huai, Wuxiang
  • Niu, Yichun
  • Sheng, Li

Abstract

In this article, the problem of fixed-time active fault-tolerant control is investigated for dynamical linear systems with intermittent faults and unknown disturbances. Unlike traditional active fault-tolerant control, fixed-time control is taken into account in this article since intermittent faults appear and disappear within a certain period of time. The entire active fault-tolerant control framework is composed of fault detection, fault isolation, fault and state estimation as well as the reconfigurable controller. Using the homogeneity-based observers, states and faults are well estimated and a fault diagnosis scheme is proposed for the sake of detecting and isolating intermittent faults in a fixed time. The fault-tolerant controller, which provides global practical fixed-time stability of the closed-loop system, has two switching states corresponding to the appearance and disappearance of intermittent faults. As a consequence, intermittent faults are compensated via the designed active fault-tolerant control method and the system reaches practical stability with the entire convergence time bounded in a fixed time. Finally, two examples are exploited to demonstrate the effectiveness of theoretical results.

Suggested Citation

  • Cheng, Xuanrui & Gao, Ming & Huai, Wuxiang & Niu, Yichun & Sheng, Li, 2025. "Fixed-time active fault-tolerant control for dynamical systems with intermittent faults and unknown disturbances," Applied Mathematics and Computation, Elsevier, vol. 486(C).
    • Handle: RePEc:eee:apmaco:v:486:y:2025:i:c:s0096300324005150
    DOI: 10.1016/j.amc.2024.129054
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    References listed on IDEAS

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    1. Maiying Zhong & Xiaoqiang Zhu & Ting Xue & Lu Zhang, 2023. "An overview of recent advances in model-based event-triggered fault detection and estimation," International Journal of Systems Science, Taylor & Francis Journals, vol. 54(4), pages 929-943, March.
    2. Zhu, Baopeng & Wang, Yingchun & Zhang, Huaguang & Xie, Xiangpeng, 2021. "Distributed finite-time fault estimation and fault-tolerant control for cyber-physical systems with matched uncertainties," Applied Mathematics and Computation, Elsevier, vol. 403(C).
    3. Yin, Zeyang & Luo, Jianjun & Wei, Caisheng, 2019. "Quasi fixed-time fault-tolerant control for nonlinear mechanical systems with enhanced performance," Applied Mathematics and Computation, Elsevier, vol. 352(C), pages 157-173.
    4. Gao, Yu & Sun, Wei & Su, Shun-Feng, 2024. "Prescribed-time adaptive output feedback tracking control for nonlinear systems with quantized input," Applied Mathematics and Computation, Elsevier, vol. 463(C).
    5. Katta, Ravinder & Reddy, G.D. & Sukavanam, N., 2018. "Computation of control for linear approximately controllable system using weighted Tikhonov regularization," Applied Mathematics and Computation, Elsevier, vol. 317(C), pages 252-263.
    6. Yan, Yan & Wu, Libing & Yan, Weijun & Hu, Yuhan & Zhao, Nannan & Chen, Ming, 2022. "Finite-time event-triggered fault-tolerant control for a family of pure-feedback systems," Applied Mathematics and Computation, Elsevier, vol. 426(C).
    7. Maoyin Chen & Guibin Xu & Rongyi Yan & Steven X. Ding & Donghua Zhou, 2015. "Detecting scalar intermittent faults in linear stochastic dynamic systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(8), pages 1337-1348, June.
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