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Adaptive attack-resilient control for Markov jump system with additive attacks

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Abstract

This paper investigates the attack-resilient control problem for Markov jump systems (MJSs) with additive attacks. Both the sensor attacks and actuator attacks are taken into account in this paper, which make the attack-resilient control problem particularly complex. Moreover, different from multiplicative sensor attacks, the additive attacks are addressed in this paper. The adaptive laws based on projection operation are designed to ensure that the estimations of the unknown parameters are bounded. Based on the adaptive laws, the novel adaptive attack-resilient control strategy is proposed. Then, through combining the adaptive method and tracking control method, where the target tracking trajectories are the estimate values from adaptive laws, the boundedness and stability of system states are guaranteed in this paper. Finally, the adaptive attack-resilient control strategy is applied into an application example to illustrate the effectiveness.

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Acknowledgements

This work is supported by National Natural Science Foundation of China 61773225, 61803214, 61703231, 62073188, the Natural Science Foundation of Zhejiang Province under Grant LQ20F030004, the Open Research Project of the State Key Laboratory of Industrial Control Technology, Zhejiang University, China(No.ICT20081), Natural Science Foundation of Ningbo (202003N4075) and Key Technology Project of Jiangbei District (201901A03), the Natural Science Foundation of Ningbo university under Grant XYL20026, K.C. Wong Magna Fund in Ningbo University, Major agricultural application technology innovation project of Shandong Province (SD2019NJ007).

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Authors and Affiliations

  1. College of Information Science and Engineering, Ningbo University, Ningbo, 315211, Zhejiang, People’s Republic of China

    Hangfeng He

  2. School of Engineering, Qufu Normal University, Rizhao, 276826, People’s Republic of China

    Wenhai Qi

  3. School of Information Science and Engineering, Chengdu University, Chengdu, 610106, People’s Republic of China

    Wenhai Qi

  4. State Key Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Hangzhou, 310027, People’s Republic of China

    Zhitao Liu

  5. School of Information Science and Engineering, Qufu Normal University, Rizhao, 276826, People’s Republic of China

    Maoli Wang

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  1. Hangfeng He
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Correspondence to Hangfeng He.

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He, H., Qi, W., Liu, Z. et al. Adaptive attack-resilient control for Markov jump system with additive attacks. Nonlinear Dyn 103, 1585–1598 (2021). https://doi.org/10.1007/s11071-020-06085-5

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