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Dynamic event-triggered non-fragile dissipative filtering for interval type-2 fuzzy Markov jump systems

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Abstract

This paper studies the design of non-fragile dissipative filters for discrete-time interval type-2 fuzzy Markov jump systems (IT-2FMJSs). The novel mode-dependent dynamic event-triggered strategy (DETS) is used to lower the frequency of filter updates while improving information transmission efficiency. In addition, the hidden Markov model is employed to construct an asynchronous, non-fragile dissipative filter of uncertain interval type. The mode-independent and dependent filters can be effectively coupled by modifying the conditional probability matrices (CPMs) and the interval value range of uncertain terms. Furthermore, the vertex separation approach is used to address the computational difficulty of interval uncertainty in the filter. Finally, sufficient requirements are obtained based on the Lyapunov stability theory to guarantee that the filtering error system is stochastically stable with extended dissipative performance. The correctness and effectiveness of the proposed conclusions are illustrated by two simulation examples.

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Data availability

The datasets generated and 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 National Natural Science Foundation of China no. 61273004, and the Natural Science Foundation of Hebei province no. F2021203061.

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  1. School of Science, Yanshan University, Qinhuangdao, 066004, Hebei, People’s Republic of China

    Lihuan Han, Yincai Wang & Yuechao Ma

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  1. Lihuan Han
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Correspondence to Yuechao Ma.

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This work is supported by National Natural Science Foundation of China (No. 61273004) and the Natural Science Foundation of Hebei province (No. F2021203061).

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Han, L., Wang, Y. & Ma, Y. Dynamic event-triggered non-fragile dissipative filtering for interval type-2 fuzzy Markov jump systems. Int. J. Mach. Learn. & Cyber. (2024). https://doi.org/10.1007/s13042-024-02204-5

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