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Non-fragile \(H_{\infty }\) Filtering for Discrete Time-Delay Systems with Quantization, TOD Protocol and Deception Attacks

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Abstract

This paper is concerned with the problem of \(H_{\infty }\) filtering for a class of discrete time-delay systems with a constrained communication network from sensors to the filter. The signal of measurement output is quantized by a quantizer, and then, the quantized signal is transmitted through the communication channel which is scheduled by the try-once-discard protocol and subject to deception attacks. The main aim of this study is to design the mode-dependent non-fragile filter and the dynamic quantizer such that the mean-square asymptotic stability with a prescribed \(H_{\infty }\) performance of the filtering error system is satisfied. Sufficient conditions are established for the designed filter and quantizer by constructing a mode-dependent Lyapunov–Krasovskii function. Moreover, the desired filter gain matrices and the dynamic parameter of the quantizer are obtained by solving a set of linear matrix inequalities (LMIs). Finally, a simulation example is given to validate the effectiveness of the proposed method.

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Data availability

All MATLAB codes used or analyzed during the current study are available from the authors upon reasonable request.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China under Grant 61773298 and 62173261.

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Authors and Affiliations

  1. Wuhan University of Science and Technology, Wuhan, 430081, Hubei, China

    Bo Wu, Xiao-Heng Chang & Weihua Huang

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  1. Bo Wu
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Correspondence to Xiao-Heng Chang.

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Wu, B., Chang, XH. & Huang, W. Non-fragile \(H_{\infty }\) Filtering for Discrete Time-Delay Systems with Quantization, TOD Protocol and Deception Attacks. Circuits Syst Signal Process 42, 2107–2131 (2023). https://doi.org/10.1007/s00034-022-02214-0

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