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Orthotope-search-expansion-based extended zonotopic Kalman filter design for a discrete-time linear parameter-varying system with a dual-noise term

Author

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  • Wang, Ziyun
  • Wang, Xianzhe
  • Wang, Yan

Abstract

A novel algorithm utilizing an extended zonotopic Kalman filter based on the orthotope search expansion method is introduced to solve the state estimation problem in discrete-time linear parameter-varying systems when the dual noise of the systems is assumed to be bounded but unknown. First, to identify unknown parameters, an orthotope search expansion method is proposed with a measurement strip constraint. Subsequently, based on the parameter identification orthotopic set, an extended zonotopic Kalman filter algorithm is proposed to derive an estimation interval that wraps the true state of the system. Next, by minimizing the size of the zonotope, the optimal gain matrix for the extended zonotopic Kalman filter algorithm is determined. Finally, the proposed methods are demonstrated for their effectiveness and accuracy through the presentation of two simulation examples.

Suggested Citation

  • Wang, Ziyun & Wang, Xianzhe & Wang, Yan, 2024. "Orthotope-search-expansion-based extended zonotopic Kalman filter design for a discrete-time linear parameter-varying system with a dual-noise term," Applied Mathematics and Computation, Elsevier, vol. 474(C).
    • Handle: RePEc:eee:apmaco:v:474:y:2024:i:c:s0096300324001474
    DOI: 10.1016/j.amc.2024.128675
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    References listed on IDEAS

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    1. Mi, Wen & Qian, Tao, 2022. "System identification of hammerstein models by using backward shift algorithm," Applied Mathematics and Computation, Elsevier, vol. 413(C).
    2. Fu, Xiaoyu & Song, Xinmin & Liu, Xiyu & Zhang, Min, 2023. "Distributed state estimation with state equality constraints in the presence of packet dropping," Applied Mathematics and Computation, Elsevier, vol. 451(C).
    3. Liu, Jianjun & Zhai, Rui & Liu, Yuhan & Li, Wenliang & Wang, Bingzhe & Huang, Liyuan, 2021. "A quasi fractional order gradient descent method with adaptive stepsize and its application in system identification," Applied Mathematics and Computation, Elsevier, vol. 393(C).
    4. Li, Meiyu & Liang, Jinling, 2023. "State estimation for 2-D uncertain systems with redundant channels and deception attacks: A set-membership method," Applied Mathematics and Computation, Elsevier, vol. 457(C).
    5. Miranda-Colorado, Roger, 2020. "Parameter identification of conservative Hamiltonian systems using first integrals," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    6. Che, Haochi & Huang, Jun & Zhao, Xudong & Ma, Xiang & Xu, Ning, 2020. "Functional interval observer for discrete-time systems with disturbances," Applied Mathematics and Computation, Elsevier, vol. 383(C).
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