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Non-Fragile Distributed Fault Detection for Nonlinear Delayed Markov Jump Systems Under Weighted Try-Once-Discard Protocol

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Abstract

In this paper, the non-fragile distributed fault detection (FD) problem is discussed for delayed Markov jump systems over sensor networks under the weighted try-once-discard protocol, where the randomly switching nonlinearities and the randomly occurring faults are considered. Specifically, a non-fragile distributed FD filter is constructed, and the compact residual dynamic system is obtained in terms of augmentation technique. Subsequently, by applying the Lyapunov stability theory and Wirtinger inequality, sufficient conditions are derived to ensure that the nominal system corresponding to residual dynamic system is stochastically stable and stochastically strictly \((Q_1,Q_2,Q_3)\)-\(\gamma \) dissipative. On this basis, the explicit expressions of FD filter matrices are obtained by means of the linear matrix inequality method. At last, a simulation is provided to demonstrate the effectiveness of the proposed distributed FD scheme.

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All MATLAB codes used or analyzed during the current study are available from the corresponding author on reasonable request.

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Acknowledgements

This work was supported by the Natural Science Foundation of Heilongjiang Province of China under Grant YQ2020A004, the National Natural Science Foundation of China 12071102.

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Authors and Affiliations

  1. Department of Mathematics, Harbin University of Science and Technology, Harbin, 150080, China

    Siteng Ma & Dongyan Chen

  2. School of Automation, Harbin University of Science and Technology, Harbin, 150080, China

    Zhihui Wu & Cai Chen

  3. Heilongjiang Provincial Key Laboratory of Optimization Control and Intelligent Analysis for Complex Systems, Harbin University of Science and Technology, Harbin, 150080, China

    Siteng Ma, Zhihui Wu, Cai Chen & Dongyan Chen

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  1. Siteng Ma
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Correspondence to Zhihui Wu.

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Ma, S., Wu, Z., Chen, C. et al. Non-Fragile Distributed Fault Detection for Nonlinear Delayed Markov Jump Systems Under Weighted Try-Once-Discard Protocol. Circuits Syst Signal Process (2024). https://doi.org/10.1007/s00034-024-02713-2

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