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Sliding Mode Control for Discrete-Time Systems with Randomly Occurring Uncertainties and Nonlinearities Under Hybrid Cyber Attacks

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Abstract

This paper investigates the problem of sliding mode control (SMC) for a class of discrete-time stochastic systems subject to hybrid cyber attacks. Both stochastic nonlinearities and norm-bounded parameter uncertainties are introduced into the system, which occur according to mutually independent Bernoulli-distributed white noise sequences. Moreover, hybrid cyber attacks consisting of denial-of-service attack and deception attack are considered in the transmission channel. By employing the Lyapunov stability theory, sufficient conditions are established for guaranteeing the stability of the state trajectory in the specified sliding surface. Meanwhile, an SMC law is given to ensure the reachability of the specified sliding surface. Finally, a simulation example is put forward to verify the effectiveness of the proposed theoretical results.

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Code Availability

All MATLAB codes used or analyzed during the current study are available from the corresponding author on reasonable request.

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Funding

This work is supported by the National Natural Science Foundation of China under Grant 61973137 (by Jing Chen and Manfeng Hu) and the Natural Science Foundation of Jiangsu Province under Grant BK20181342 (by Aihua Hu and Manfeng Hu).

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Authors and Affiliations

  1. School of Science, Jiangnan University, Wuxi, 214122, People’s Republic of China

    Jianming Cao, Jingfeng Zhou, Jing Chen, Aihua Hu & Manfeng Hu

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  1. Jianming Cao
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  2. Jingfeng Zhou
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  4. Aihua Hu
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  5. Manfeng Hu
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Contributions

JC and MH contributed to the conception of the study; JC and JZ performed the MATLAB experiment; JC, JC, AH and MH contributed significantly to analysis and manuscript preparation; JC and MH performed the data analyses and wrote the manuscript; JZ, JC and AH helped perform the analysis with constructive discussions.

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Correspondence to Manfeng Hu.

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Cao, J., Zhou, J., Chen, J. et al. Sliding Mode Control for Discrete-Time Systems with Randomly Occurring Uncertainties and Nonlinearities Under Hybrid Cyber Attacks. Circuits Syst Signal Process 40, 5864–5885 (2021). https://doi.org/10.1007/s00034-021-01744-3

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