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\({\mathcal {H}}_\infty \) Filtering for Nonlinear Discrete-time Singular Systems in Encrypted State

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Abstract

This paper studies the \({\mathcal {H}}_{\infty }\) filtering problem of discrete-time singular nonlinear systems in encrypted state which are represented by Takagi-Sugeno (T-S) fuzzy model, meantime, quantization, signal missing and filter failure are considered. This paper selects the measurement output and the filter output for quantization, the sensor failure of the systems, the loss of the estimated signal and filter output signals are considered. Then, the admissible condition of the filtering error system is calculated and verified, and the condition meets the specific \({\mathcal {H}}_{\infty }\) performance index. By quoting a new Lyapunov function, the design conditions of the filter and the adjustment parameters of the quantizers are obtained. Finally, the feasibility of this method is verified by a circuit example.

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Acknowledgements

The work was supported in part by the Liaoning BaiQianWan Talents Program of China under Grant 2018049, the Joint Project of Key Laboratory of Liaoning Province of China under Grant 2019-KF-03-12, and the Science and Technology Research Project of Liaoning Provincial Education Department of China under Grant LJKZ1032.

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Authors and Affiliations

  1. College of Mathematical Sciences, Bohai University, 121013, Jinzhou, Liaoning, China

    Xin-Yue Zhao

  2. College of Control Science and Engineering, Bohai University, 121013, Jinzhou, Liaoning, China

    Xiao-Heng Chang

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  1. Xin-Yue Zhao
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Correspondence to Xiao-Heng Chang.

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Zhao, XY., Chang, XH. \({\mathcal {H}}_\infty \) Filtering for Nonlinear Discrete-time Singular Systems in Encrypted State. Neural Process Lett 55, 2843–2866 (2023). https://doi.org/10.1007/s11063-022-10987-3

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