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Sampled Measurement-Based Robust Impulsive Filtering for Delayed Lur’e Implicit Hybrid Systems and Its Application in RC Circuit

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Abstract

This paper is dedicated to dealing with the sampled measurement-based robust impulsive filter design problem for delayed Lur’e implicit hybrid systems via free-weighting matrix approach. Stochastic admissibility and \(H_{\infty }\) performance index for the implicit impulsive filtering error system are ensured based on a holistic impulse-time-dependent Lyapunov–Krasovskii functional, which embodies the impulse instants, time-varying delays and Markovian jump modes. The effect of sampled measurement output on the impulsive filter is considered, where the sampling moments are corresponding to the impulse instants. By applying the improved free-weighting matrix technique, the derivative of time-varying delay in implicit system states is no longer subject to the least upper bound 1. A set of linear matrix inequalities are applied to construe designing criterion for the desired mode-dependent implicit impulsive filter. The practicality of the developed approach is verified by nonlinear RC circuit.

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Acknowledgements

This work was partly supported by National Natural Science Foundation of China under Grants 62173174, 61973148, 61773191; Shandong Provincial Natural Science Foundation under Grant ZR2021JQ23; Support Plan for Outstanding Youth Innovation Team in Shandong Higher Education Institutions under Grant 2019KJI010; Discipline with Strong Characteristics of Liaocheng University–Intelligent Science and Technology under Grant 319462208; Graduate Education High-Quality Curriculum Construction Project for Shandong Province under Grant SDYKC20185.

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Authors and Affiliations

  1. School of Mathematical Sciences, Liaocheng University, No. 1 Hunan Road, Dongchangfu District, Liaocheng, 252059, Shandong, China

    Zekun Wang, Guangming Zhuang & Jianwei Xia

  2. Institute of Advanced Technology, Nanjing University of Posts and Telecommunications, No. 9 Wen Yuan Road, Qixia District, Nanjing, 210023, Jiangsu, China

    Xiangpeng Xie

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  1. Zekun Wang
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Correspondence to Guangming Zhuang.

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Wang, Z., Zhuang, G., Xia, J. et al. Sampled Measurement-Based Robust Impulsive Filtering for Delayed Lur’e Implicit Hybrid Systems and Its Application in RC Circuit. Circuits Syst Signal Process 42, 6420–6443 (2023). https://doi.org/10.1007/s00034-023-02422-2

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