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Robust fault estimation observer design for switched systems with unknown input

Author

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  • Du, Dongsheng
  • Cocquempot, Vincent
  • Jiang, Bin

Abstract

In this paper, the problem of robust fault estimation observer design for continuous-time switched systems subject to unknown input is investigated. Firstly, based on the average dwell-time method and the switched Lyapunov function technique, an unknown input observer is designed for the augmented switched system by eliminating the unknown input, which can guarantee that the error system is globally uniformly asymptotically stable with a prescribed H∞ performance index. Next, the method is extended to the measurement disturbances case. Finally, an example is presented to illustrate the design and efficiency of the proposed fault estimation observer technique.

Suggested Citation

  • Du, Dongsheng & Cocquempot, Vincent & Jiang, Bin, 2019. "Robust fault estimation observer design for switched systems with unknown input," Applied Mathematics and Computation, Elsevier, vol. 348(C), pages 70-83.
    • Handle: RePEc:eee:apmaco:v:348:y:2019:i:c:p:70-83
    DOI: 10.1016/j.amc.2018.11.034
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    References listed on IDEAS

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    1. Du, Dongsheng, 2017. "Fault detection for discrete-time linear systems based on descriptor observer approach," Applied Mathematics and Computation, Elsevier, vol. 293(C), pages 575-585.
    2. Xiong, Jun & Chang, Xiao-Heng & Yi, Xiaojian, 2018. "Design of robust nonfragile fault detection filter for uncertain dynamic systems with quantization," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 774-788.
    3. Roncero-Clemente, Carlos & Roanes-Lozano, Eugenio, 2018. "A multi-criteria computer package for power transformer fault detection and diagnosis," Applied Mathematics and Computation, Elsevier, vol. 319(C), pages 153-164.
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    Citations

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    Cited by:

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    2. Han, Jian & Liu, Xiuhua & Wei, Xinjiang & Zhang, Huifeng & Hu, Xin, 2021. "Adjustable dimension descriptor observer based fault estimation of nonlinear system with unknown input," Applied Mathematics and Computation, Elsevier, vol. 396(C).
    3. Zhao, Xiao-Qi & Guo, Shun & Long, Yue & Zhong, Guang-Xin, 2022. "Simultaneous fault detection and control for discrete-time switched systems under relaxed persistent dwell time switching," Applied Mathematics and Computation, Elsevier, vol. 412(C).
    4. Han, Yunrui & Zhao, Ying & Wang, Peng, 2021. "Finite-time rate anti-bump switching control for switched systems," Applied Mathematics and Computation, Elsevier, vol. 401(C).
    5. Zhang, Jiancheng & Chadli, Mohammed & Wang, Yan, 2019. "A fixed-time observer for discrete-time singular systems with unknown inputs," Applied Mathematics and Computation, Elsevier, vol. 363(C), pages 1-1.
    6. Li, Jiahao & Liu, Yu & Yu, Jinyong & Sun, Yiming & Liu, Mengmeng, 2021. "A new result of terminal sliding mode finite-time state and fault estimation for a class of descriptor switched systems," Applied Mathematics and Computation, Elsevier, vol. 402(C).
    7. Ma, Zhen-Lei & Li, Xiao-Jian, 2022. "Data-driven fault detection for large-scale network systems: A mixed optimization approach," Applied Mathematics and Computation, Elsevier, vol. 426(C).

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