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Finite-time fault detection filter design for discrete-time interconnected systems with average dwell time

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  • Li, Jian
  • Wu, Chun-Yu

Abstract

In this paper, we present an approach to finite-time robust fault detection filter design for interconnected systems with disconnected interconnections among these subsystems. Taking various disconnected interconnections into account, a switched scheme is proposed to analysis these complex cases. By modeling these cases of disconnections into independent subsystems, a switching signal is introduced to specify which subsystem is activated. In the aid of the average dwell time method, sufficient conditions on existence of the desired filter are derived in term of linear matrices inequalities, which guarantee the augmented system is finite-time boundedness and achieve the H∞ performance. A numerical example is used to illustrate the effectiveness of the proposed approach.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:313:y:2017:i:c:p:259-270
    DOI: 10.1016/j.amc.2017.05.071
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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. 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.
    3. Zhao, Lin & Jia, Yingmin, 2015. "Finite-time consensus for second-order stochastic multi-agent systems with nonlinear dynamics," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 278-290.
    4. Wang, Guoliang & Li, Zhiqiang & Zhang, Qingling & Yang, Chunyu, 2017. "Robust finite-time stability and stabilization of uncertain Markovian jump systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 293(C), pages 377-393.
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    Cited by:

    1. 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.
    2. Yu, Qiang & Lv, Hao, 2020. "The new stability criteria of discrete-time switched systems with an improved mode dependent average dwell time approach," Applied Mathematics and Computation, Elsevier, vol. 366(C).
    3. Sakthivel, Rathinasamy & Suveetha, V.T. & Nithya, Venkatesh & Sakthivel, Ramalingam, 2020. "Finite-time fault detection filter design for complex systems with multiple stochastic communication and distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 136(C).

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