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Fault detection for discrete-time linear systems based on descriptor observer approach

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  • Du, Dongsheng

Abstract

This paper investigates the problem of actuator fault detection filter design for discrete-time linear systems with output disturbance. By using the descriptor observer method, an H∞ fault detection filter is designed to guarantee the residual system is admissible and satisfies the H∞ performance. By utilizing Lyapunov function approach, a sufficient condition for the admissible of the residual system is obtained in the form of linear matrix inequality (LMI). The desired fault detection filter can be designed by solving a set of LMIs. Finally, a numerical example is proposed to illustrate the effectiveness of the developed method.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:293:y:2017:i:c:p:575-585
    DOI: 10.1016/j.amc.2016.08.052
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    References listed on IDEAS

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    1. Song, Xinmin & Duan, Zhenhua & Park, Ju H., 2016. "Linear optimal estimation for discrete-time systems with measurement-delay and packet dropping," Applied Mathematics and Computation, Elsevier, vol. 284(C), pages 115-124.
    2. Zhai, Ding & Lu, An-Yang & Li, Jing-Hao & Zhang, Qing-Ling, 2016. "Simultaneous fault detection and control for switched linear systems with mode-dependent average dwell-time," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 767-792.
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    Citations

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    Cited by:

    1. Lei, Yanfang & Li, Junmin & Zhao, Ailiang, 2022. "Spatiotemporal fault detection, estimation and control for nonlinear reaction-diffusion equations," Applied Mathematics and Computation, Elsevier, vol. 418(C).
    2. Li, Jian & Wu, Chun-Yu, 2017. "Finite-time fault detection filter design for discrete-time interconnected systems with average dwell time," Applied Mathematics and Computation, Elsevier, vol. 313(C), pages 259-270.
    3. Chan, Joseph Chang Lun & Tan, Chee Pin & Trinh, Hieu & Kamal, Md Abdus Samad & Chiew, Yeong Shiong, 2019. "Robust fault reconstruction for a class of non-infinitely observable descriptor systems using two sliding mode observers in cascade," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 78-92.
    4. 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.
    5. Zhang, Zhi-Hui & Hao, Li-Ying & Guo, Mingjie, 2022. "Fault detection for uncertain nonlinear systems via recursive observer and tight threshold," Applied Mathematics and Computation, Elsevier, vol. 414(C).
    6. Wang, Jiancheng & He, Shuping & Luan, Xiaoli & Liu, Fei, 2020. "Fuzzy fault detection of conic-type nonlinear systems within the finite frequency domain," Applied Mathematics and Computation, Elsevier, vol. 378(C).
    7. 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.

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