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T–S Fuzzy-Based Security Control of Nonlinear Unmanned Marine Vehicle Systems with Uncertain Stochastic DoS Attack

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Abstract

This paper is concerned with the output tracking control for a class of network-based nonlinear unmanned marine vehicle (UMV) systems subject to denial-of-service (DoS) attacks, where a Takagi–Sugeno (T–S) fuzzy approach is proposed to grapple with the nonlinearity of UMV. A semi-Markov chain is introduced to reveal the switches of different attack degrees on actuators. The transition probabilities (TPs) and the sojourn-time probability density functions (ST-PDFs) of the introduced semi-Markov chain are partially unavailable because of unpredictable DoS attacks. Through introducing the upper bound of the sojourn time for each attack mode and giving an enlarged known threshold to unavailable TPs and/or ST-PDFs, the sufficient conditions for the \(\sigma\)-mean square stability (\(\sigma\)-MSS) with performance of output tracking system are derived in the form of linear matrix inequalities (LMIs). Attack-tolerant controllers are then designed to overcome those stochastic DoS attacks. Finally, the effectiveness of the proposed control scheme is verified by a simulation study.

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Acknowledgements

This work was supported in part by the National Natural Science Foundation of China under Grant No. 61873237, the Natural Science Foundation of Zhejiang Province under Grant No. LR22F030003, and the Fundamental Research Funds for the Provincial Universities of Zhejiang under Grant No. RF-A2019003.

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  1. Zehua Ye and Dan Zhang have contributed equally to this work.

Authors and Affiliations

  1. Department of Automation, Zhejiang University of Technology, Hangzhou, 310023, China

    Jiahao Dong, Zehua Ye, Dan Zhang & Fanghong Guo

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  1. Jiahao Dong
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Correspondence to Dan Zhang.

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Dong, J., Ye, Z., Zhang, D. et al. T–S Fuzzy-Based Security Control of Nonlinear Unmanned Marine Vehicle Systems with Uncertain Stochastic DoS Attack. Int. J. Fuzzy Syst. 25, 289–301 (2023). https://doi.org/10.1007/s40815-022-01311-1

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