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Finite-time distributed H∞ filtering for Takagi-Sugeno fuzzy system with uncertain probability sensor saturation under switching network topology: Non-PDC approach

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  • Duan, Ruirui
  • Li, Junmin

Abstract

This paper mainly investigates the stochastic finite-time distributed H∞ filtering problem for more general Takagi-Sugeno fuzzy systems (TSFSs) with immeasurable premise variables over wireless sensor networks (WSNs) with switching topology. The practical factors including sensor saturation and measurement missing, which are modeled by mutually independent Bernoulli processes with uncertain probability, are taken into account. Utilizing non-parallel-distributed-compensation (non-PDC) scheme, a switching-type distributed filter based on estimated premise variables is designed to realize the sharing of filtering information and measurement information. A distributed robust filtering method is proposed to analyze the distributed filtering error system (DFES) containing unknown premise variables. Then by constructing a model-dependent fuzzy Lyapunov function, new less conservative sufficient conditions in term of LMIs are obtained to ensure the DFES stochastic finite-time bounded and achieving a modified H∞ performance index under bounded disturbance. By solving a convex optimization problem, the filter gain parameters and average dwell time of topology switching signal are determined. Finally, a tunnel diode circuit in sensor networks is considered to verify the theoretical findings.

Suggested Citation

  • Duan, Ruirui & Li, Junmin, 2020. "Finite-time distributed H∞ filtering for Takagi-Sugeno fuzzy system with uncertain probability sensor saturation under switching network topology: Non-PDC approach," Applied Mathematics and Computation, Elsevier, vol. 371(C).
    • Handle: RePEc:eee:apmaco:v:371:y:2020:i:c:s0096300319309531
    DOI: 10.1016/j.amc.2019.124961
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    References listed on IDEAS

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    1. Ma, Yuechao & Fu, Lei & Jing, Yanhui & Zhang, Qingling, 2015. "Finite-time H∞ control for a class of discrete-time switched singular time-delay systems subject to actuator saturation," Applied Mathematics and Computation, Elsevier, vol. 261(C), pages 264-283.
    2. Jiaxi Chen & Junmin Li & Wenjie Zhao, 2019. "T–S fuzzy model-based adaptive repetitive consensus control for multi-agent systems with imprecise communication topology structure," International Journal of Systems Science, Taylor & Francis Journals, vol. 50(8), pages 1568-1579, June.
    3. Ruirui Duan & Junmin Li, 2019. "Distributed H∞ filter design for T-S fuzzy systems with Sigma-Delta quantisation via non-PDC scheme," International Journal of Systems Science, Taylor & Francis Journals, vol. 50(4), pages 694-712, March.
    4. Yuechao Ma & Lei Fu, 2016. "Finite-time control for discrete-time switched singular time-delay systems subject to actuator saturation via static output feedback," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(14), pages 3394-3408, October.
    5. Ma, Yuechao & Jia, Xiaorui & Liu, Deyou, 2016. "Robust finite-time H∞ control for discrete-time singular Markovian jump systems with time-varying delay and actuator saturation," Applied Mathematics and Computation, Elsevier, vol. 286(C), pages 213-227.
    6. Dan Zhang & Li Yu & Hongbo Song & Qing-Guo Wang, 2013. "Distributed filtering for sensor networks with switching topology," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(11), pages 2104-2118.
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    Cited by:

    1. Cui, Jiahao & Wang, Ruihua & Jiao, Ticao & Fei, Shumin, 2021. "A foreseeable Lyapunov function approach for H∞ asynchronous filtering of discrete-time switched systems," Applied Mathematics and Computation, Elsevier, vol. 395(C).
    2. Zhu, Fengzeng & Liu, Xu & Peng, Li, 2021. "Adaptive consensus-based distributed H∞ filtering with switching topology subject to partial information on transition probabilities," Applied Mathematics and Computation, Elsevier, vol. 411(C).

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