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Improving Kalman filter for cyber physical systems subject to replay attacks: An attack-detection-based compensation strategy

Author

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  • Li, Xin
  • Lei, Anzhi
  • Zhu, Liangkuan
  • Ban, Mingfei

Abstract

This paper investigates the problem of improving Kalman filtering for a class of multi-layer cyber physical systems (CPS) in the face of multiple consecutive replay attacks. CPS is vulnerable in an open network environment, and the replay attack model is described based on the number and duration of successful message transmissions. For all possible occurrences of replay attacks, a detection and compensation method is obtained with the help of the residual monitoring mechanism and an attack detection function. At the same time, in order to identify the attack has occurred in which, the register is integrated into the system. Furthermore, a novel Kalman filter with a compensation mechanism is designed to estimate the ideal states of CPS subject to replay attacks, and the Kalman filter gain is optimized based on the detection results. Finally, a simulation example is given to verify the effectiveness of the proposed improving Kalman filter.

Suggested Citation

  • Li, Xin & Lei, Anzhi & Zhu, Liangkuan & Ban, Mingfei, 2024. "Improving Kalman filter for cyber physical systems subject to replay attacks: An attack-detection-based compensation strategy," Applied Mathematics and Computation, Elsevier, vol. 466(C).
    • Handle: RePEc:eee:apmaco:v:466:y:2024:i:c:s0096300323006136
    DOI: 10.1016/j.amc.2023.128444
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    References listed on IDEAS

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    1. Lv, Yuan-Wei & Yang, Guang-Hong, 2022. "An adaptive cubature Kalman filter for nonlinear systems against randomly occurring injection attacks," Applied Mathematics and Computation, Elsevier, vol. 418(C).
    2. Zhao, Younan & Gu, Peng & Zhu, Fanglai & Liu, Tianyi & Shen, Runjie, 2023. "Security control scheme for cyber-physical system with a complex network in physical layer against false data injection attacks," Applied Mathematics and Computation, Elsevier, vol. 447(C).
    3. Liu, Xuan & Zhai, Ding & He, Da-Kuo & Chang, Xiao-Heng, 2018. "Simultaneous fault detection and control for continuous-time Markovian jump systems with partially unknown transition probabilities," Applied Mathematics and Computation, Elsevier, vol. 337(C), pages 469-486.
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    5. Dong, Lewei & Xu, Huiling & Zhang, Liming & Li, Zhengcai & Chen, Yuqing, 2023. "Adjustable proportional-integral multivariable observer-based FDI attack dynamic reconstitution and secure control for cyber-physical systems," Applied Mathematics and Computation, Elsevier, vol. 443(C).
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