SUN Xiaohui, WEN Tao, WEN Chenglin, CHENG Xingshuo, WU Yunkai. High-Order Extended Strong Tracking Filter[J]. Chinese Journal of Electronics, 2021, 30(6): 1152-1158. DOI: 10.1049/cje.2021.08.010
Citation: SUN Xiaohui, WEN Tao, WEN Chenglin, CHENG Xingshuo, WU Yunkai. High-Order Extended Strong Tracking Filter[J]. Chinese Journal of Electronics, 2021, 30(6): 1152-1158. DOI: 10.1049/cje.2021.08.010

High-Order Extended Strong Tracking Filter

Funds: 

This work is supported by the National Natural Science Foundation of China (No.61933013, No.61806064, No.61703385, No.61703103, No.U1664264) and Science and Technology Project of China Electric Power Research Institute (No.SGHB0000KXJS1800375).

More Information
  • Received Date: December 16, 2020
  • Revised Date: January 12, 2021
  • Available Online: September 22, 2021
  • Published Date: November 04, 2021
  • A novel High-order extended Strong tracking filter (H-STF) is proposed for a class of nonlinear systems. All high-order polynomial terms in the state model are regarded as implicit variables; the original state model is equivalently formulated into a pseudo-linear form; the dynamic relationship between each implicit variable and all variables is modeled; original state model is rewritten into an augmented linear model; the nonlinear measurement model can be rewritten into linear form; taking into account the problems of modeling errors and state mutations that may be caused by the introduction of implicit variables, a high-order extended strong tracking filter is designed. Examples are presented to demonstrate the effectiveness of the new algorithm.
  • C.B. Wen, Z.D. Wang, Q.Y. Liu, et al., "Recursive distributed filtering for a class of state-saturated systems with fading measurements and quantization effects", IEEE Transactions on Systems, Man and Cybernetics:Systems, Vol.48, No.6, pp.930-941, 2018.
    T. Wen, Q.B. Ge, X. Lyu, et al., "A cost-effective wireless network migration planning method supporting high-security enabled railway data communication systems", Journal of the Franklin Institute, Vol.35, No.6, pp.114-121, 2019.
    T. Wen, C.B. Wen, C.Roberts, et al., "Distributed filtering for a class of discrete-time systems over wireless sensor networks", Journal of the Franklin Institute, Vol.357, No.5, pp.3038-3055, 2020.
    C.B. Wen, Z.D. Wang, J. Hu, et al., "Alsaadi recursive filtering for state-saturated systems with randomly occurring nonlinearities and missing measurements", International Journal of Robust and Nonlinearity Control, Vol.28, No.1, pp.1715-1727, 2018.
    C.L. Wen, X.S. Cheng, D.X Xu, et al., "Filter design based on characteristic functions for one class of multidimensional nonlinear non-Gaussian systems", Automatica, Vol.82, pp.171-180, 2017.
    X. Guo, L.L. Sun, T. Wen, et al., "Adaptive transition probability matrix-based parallel IMM algorithm", IEEE Transactions on Systems, Man, and Cybernetics:Systems, Vol.19, No.14, pp.1-10, 2019.
    C.L. Wen and D.H. Zhou, Theoretical Principle of State Estimation, Tsinghua University Press, Beijing, China, pp.1-298, 2002. (in Chinese)
    R.S. Bucy and K.D. Renne, "Digital synthesis of nonlinear filter", Automatica, Vol.7, No.3, pp.287-289, 1971.
    J. Hou, Z.R. Jing and Y. Yang, "Extended Kalman particle filter algorithm for target tracking in stand-off jammer", Journal of Electronics and Information Technology, Vol.35, No.7, pp.1587-1592, 2013.
    Bo Li, Fuwen Pang, Ce Liang, et al., "Improved interactive multiple model filter for maneuvering target tracking". Chinese Control Conference, Nanjing, China, pp.7312-7316, 2014.
    A. S. Mir and N. Senroy, "DFIG damping controller design using robust CKF-based adaptive dynamic programming", IEEE Transactions on Sustainable Energy, Vol.11, No.2, pp.839-850, 2019.
    H. Yu, Y. Liu and W. Wang, "Distributed sparse signal estimation in sensor networks using H∞-consensus filtering", IEEE/CAA Journal of Automatica Sinica, Vol.1, No.2, pp.149-154, 2014.
    Y. Liu, Z.D. Wang, X. He, et al., "Filtering and fault detection for nonlinear systems with polynomial approximation", Automatica, Vol.54, pp.348-359, 2015.
    K. Kowalski and W.H. Steeb, Nonlinear Dynamical Systems and Carleman Linearization, World Scientific, Singapore, 1991.
    A.Germani, C.Manes and P.Palumbo, "Polynomial extended Kalman filter", IEEE Transactions on Automatic Control, Vol.50, No.12, pp.2059-2064, 2005.
    C.Zhang and H.S. Yan, "Identification of nonlinear timevarying system with noise based on multi-dimensional Taylor network with optimal structure", Journal of Southeast University, Vol.47, No.6, pp.1086-1093, 2017. (in Chinese)
  • Cited by

    Periodical cited type(7)

    1. Wen, T., Wang, J., Cai, B. et al. A Dynamic Estimation Method for the Headway of Virtual Coupling Trains Utilizing the High-Order Extended Kalman Filter-Based Smoother. IEEE Transactions on Intelligent Transportation Systems, 2025. DOI:10.1109/TITS.2024.3524731
    2. Wen, C.-L., Yang, L. Research survey on defense strategy of attack threat in cyber physical systems | [信息物理系统攻击威胁的防御策略综述]. Kongzhi Lilun Yu Yingyong/Control Theory and Applications, 2024, 41(12): 2224-2236. DOI:10.7641/CTA.2023.30195
    3. Yang, Y.-H., Liu, J.-G., Song, S.-M. A Recursive Non-Uniform Sampling Estimator for Asynchronous Nonlinear Systems. Sensors, 2024, 24(9): 2882. DOI:10.3390/s24092882
    4. Gao, C., Kang, Z., Gong, D. et al. Novel method for identifying the stages of discharge underwater based on impedance change characteristic. Plasma Science and Technology, 2024, 26(4): 045503. DOI:10.1088/2058-6272/ad0d56
    5. Ye, Z., Chen, H., Zhou, S. et al. Adaptive UKF based on singular value decomposition to reentry glide target tracking | [基于奇异值分解自适应UKF的再入滑翔目标跟踪]. Xi Tong Gong Cheng Yu Dian Zi Ji Shu/Systems Engineering and Electronics, 2023, 45(5): 1503-1511. DOI:10.12305/j.issn.1001-506X.2023.05.27
    6. Wang, M., Liu, W., Wen, C. A High-Order Kalman Filter Method for Fusion Estimation of Motion Trajectories of Multi-Robot Formation. Sensors, 2022, 22(15): 5590. DOI:10.3390/s22155590
    7. Liu, X., Wen, C., Sun, X. Design Method of High-Order Kalman Filter for Strong Nonlinear System Based on Kronecker Product Transform. Sensors, 2022, 22(2): 653. DOI:10.3390/s22020653

    Other cited types(0)

Catalog

    Article Metrics

    Article views (407) PDF downloads (40) Cited by(7)
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return