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Event-triggered fault detection for continuous-time networked polynomial-fuzzy-model-based systems

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  • Ye, Dan
  • Li, Xiehuan

Abstract

The paper deals with the event-triggered fault detection filter design problem for continuous-time networked polynomial-fuzzy-model-based (PFMB) systems. Unlike some existing results, a novel polynomial event-triggered mechanism (PETM) is introduced to reduce the network resource occupancy. Moreover, the resultant event-triggered conditions are checked only at each sampling instant. A polynomial fault detection filter (PFDF), whose membership functions (MFs) and fuzzy rules are different from the considered PFMB systems, is designed to ensure the augmented PFMB fault detection system is asymptotically stable with H∞ performance. The communication delay in communication network transmission is also considered. By adopting an appropriate Lyapunov–Krasovskii (L-K) functional, the sum of square (SOS)-based design conditions are less conservative and time-delay dependent. Two examples are used to demonstrate the effectiveness of the proposed method.

Suggested Citation

  • Ye, Dan & Li, Xiehuan, 2020. "Event-triggered fault detection for continuous-time networked polynomial-fuzzy-model-based systems," Applied Mathematics and Computation, Elsevier, vol. 366(C).
    • Handle: RePEc:eee:apmaco:v:366:y:2020:i:c:s0096300319307210
    DOI: 10.1016/j.amc.2019.124729
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    References listed on IDEAS

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    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. 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.
    3. Ye, Dan & Yang, Xiang & Su, Lei, 2017. "Fault-tolerant synchronization control for complex dynamical networks with semi-Markov jump topology," Applied Mathematics and Computation, Elsevier, vol. 312(C), pages 36-48.
    4. Ge, Chao & Shi, Yanpen & Park, Ju H. & Hua, Changchun, 2019. "Robust H∞ stabilization for T-S fuzzy systems with time-varying delays and memory sampled-data control," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 500-512.
    5. Li, Rongchang & Zhang, Qingling, 2018. "Robust H∞ sliding mode observer design for a class of Takagi–Sugeno fuzzy descriptor systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 337(C), pages 158-178.
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    Cited by:

    1. Yan, Shen & Yang, Fan & Gu, Zhou, 2020. "Derivative-based event-triggered control for networked systems with quantization," Applied Mathematics and Computation, Elsevier, vol. 383(C).
    2. Sheng, Li & Zhang, Sen & Gao, Ming, 2021. "Intermittent fault detection for linear discrete-time stochastic multi-agent systems," Applied Mathematics and Computation, Elsevier, vol. 410(C).

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