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Dynamic Event-Based Asynchronous and Resilient Dissipative Filtering for T–S Fuzzy Markov Jump Singularly Perturbed Systems Against Deception Attacks

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Abstract

In the paper, we endeavor to study the asynchronous and resilient dissipative filtering issue for T–S fuzzy Markov jump singularly perturbed systems (MJSPSs) involving the dynamic event-triggered transmission protocol, partly known conditional probabilities, and deception attacks. A novel dynamic event-triggered transmission protocol is firstly offered to further decrease the data transmission percentage over the communication channels. To better depict the practical communication situations, the mutually independent random variables that subject to the Bernoulli distribution are adopted to formulate the occurrence of deception attacks. And an asynchronous and resilient filter is properly constructed, which yields that the filtering error systems are converted into the T–S fuzzy MJSPSs with time-varying delays. Then, the criteria of stochastically stable for the filtering error systems are presented concerning a group of linear matrix inequalities (LMIs). By solving the LMIs, the nonsynchronous and resilient dissipative filter, the weighting matrix of dynamic event-triggered transmission protocol can be concurrently determined. Eventually, an example is provided to verify the validity of the developed theoretical results. Further, for the prescribed dissipative performance, state trajectoires, filter trajectories, and filter errors are presented for MJSPSs involving deception attacks under different transmission protocols, which illustrate that both of them almost have the same decay rates. However, for the prescribed dissipative performance, the transmission rates are so different for two transmission protocols that the dynamic event-triggered transmission protocol is much lower than that of the static one.

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Acknowledgements

The paper was partly supported by the National Natural Science Foundation of China under Grant 61773191, 61803241, 61973170, and 61973168; Support Plan for Outstanding Youth Innovation Team in Shandong Higher Education Institutions under Grant 2019KJI010; Talent Introduction and Cultivation Plan for Outstanding Youth Innovation Team in Shandong Higher Education Institutions; the Fundamental Research Funds for the Central Universities (No. 2020ACOCP02).

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Authors and Affiliations

  1. School of Public Administration, Shandong Institute of Business and Technology, Yantai, 264005, Shandong, China

    Shuyu Zhang

  2. School of Information and Control Engineering, Qingdao University of Technology, Qingdao, 266520, Shandong, China

    Yanqian Wang

  3. School of Mathematical Sciences, Liaocheng University, Liaocheng, 252059, Shandong, China

    Guangming Zhuang

  4. CICAEET, School of Automation, Nanjing University of Information Science and Technology, Nanjing, 210044, Jiangsu, China

    Gongfei Song

  5. Key Laboratory of Advanced Control and Optimization for Chemical Processes, (East China University of Science and Technology), Ministry of Education, Shanghai, 200237, China

    Yanqian Wang & Gongfei Song

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  1. Shuyu Zhang
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  2. Yanqian Wang
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  4. Gongfei Song
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Correspondence to Yanqian Wang.

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Zhang, S., Wang, Y., Zhuang, G. et al. Dynamic Event-Based Asynchronous and Resilient Dissipative Filtering for T–S Fuzzy Markov Jump Singularly Perturbed Systems Against Deception Attacks. Int. J. Fuzzy Syst. 24, 1491–1514 (2022). https://doi.org/10.1007/s40815-021-01204-9

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