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An adaptive cubature Kalman filter for nonlinear systems against randomly occurring injection attacks

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  • Lv, Yuan-Wei
  • Yang, Guang-Hong

Abstract

The problem of state estimation for nonlinear dynamic systems in the presence of randomly occurring injection attacks (ROIAs) is investigated. This paper requires no prior statistical information of the attacks, which relaxes the assumption of the existing result that the attack probability and the probability density function of attack signals need to be known. With the distribution of the attack probability and attack signals modeled as Beta distribution and Gaussian mixture distribution, a variational Bayesian based adaptive cubature Kalman filter is proposed to approximate the joint posterior distribution of the system state vector and unknown parameters. In addition, the update rules of the state and the statistical parameters of attacks are analytically derived by employing the fixed-point iteration approach. Finally, the effectiveness of the proposed filter is validated through numerical results.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:apmaco:v:418:y:2022:i:c:s0096300321009176
    DOI: 10.1016/j.amc.2021.126834
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    References listed on IDEAS

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    1. Wang, Dongji & Chen, Fei & Meng, Bo & Hu, Xingliu & Wang, Jing, 2021. "Event-based secure H∞ load frequency control for delayed power systems subject to deception attacks," Applied Mathematics and Computation, Elsevier, vol. 394(C).
    2. Zhao, Liqiang & Wang, Jianlin & Yu, Tao & Jian, Huan & Liu, Tangjiang, 2015. "Design of adaptive robust square-root cubature Kalman filter with noise statistic estimator," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 352-367.
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    Cited by:

    1. 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).
    2. Gao, Rui & Yang, Guang-Hong, 2022. "Sampled-data distributed state estimation with multiple transmission channels under denial-of-service attacks," Applied Mathematics and Computation, Elsevier, vol. 429(C).
    3. Gao, Ming & Niu, Yichun & Sheng, Li & Zhou, Donghua, 2022. "Quantitative analysis of incipient fault detectability for time-varying stochastic systems based on weighted moving average approach," Applied Mathematics and Computation, Elsevier, vol. 434(C).
    4. 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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