IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v451y2023ics0096300323002126.html
   My bibliography  Save this article

Distributed state estimation with state equality constraints in the presence of packet dropping

Author

Listed:
  • Fu, Xiaoyu
  • Song, Xinmin
  • Liu, Xiyu
  • Zhang, Min

Abstract

In this paper, we investigate distributed Kalman consensus filter with state equality constraints in the presence of packet dropping. Firstly, the unconstrained distributed Kalman filter is designed by utilizing the local measurement information of each sensor node, and then the consensus term is added to it to derive the unconstrained distributed Kalman consensus filter. Secondly, we research the equality constrained distributed Kalman consensus filter based on the projection operator to achieve better filter performance, where the unconstrained estimation gain is calculated by solving a modified algebraic Riccati equation and a Lyapunov equation. Additionally, we design the second type of equality constrained distributed Kalman consensus filter by using time-stamping technology and projection operator to eliminate the effect of the Lyapunov equation in the infinite time domain on the convergence analysis, and its unconstrained estimation gain only requires solving a modified algebraic Riccati equation. Finally, the simulation experiments demonstrate that the equality constrained distributed Kalman consensus filter outperforms the unconstrained filter and that the second type of estimator exhibits superior performance compared to the first.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:apmaco:v:451:y:2023:i:c:s0096300323002126
    DOI: 10.1016/j.amc.2023.128043
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300323002126
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2023.128043?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Zhang, Ziwei & Chen, Zongjie & Sheng, Zhang & Li, Dan & Wang, Jing, 2022. "Static output feedback secure synchronization control for Markov jump neural networks under hybrid cyber-attacks," Applied Mathematics and Computation, Elsevier, vol. 430(C).
    2. Song, Xinmin & Duan, Zhenhua & Park, Ju H., 2016. "Linear optimal estimation for discrete-time systems with measurement-delay and packet dropping," Applied Mathematics and Computation, Elsevier, vol. 284(C), pages 115-124.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Du, Dongsheng, 2017. "Fault detection for discrete-time linear systems based on descriptor observer approach," Applied Mathematics and Computation, Elsevier, vol. 293(C), pages 575-585.
    2. Zhou, Jianping & Park, Ju H. & Ma, Qian, 2016. "Non-fragile observer-based H∞ control for stochastic time-delay systems," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 69-83.
    3. Liang, Tiantian & Shi, Shengli & Ma, Yuechao, 2023. "Asynchronous sliding mode control of continuous-time singular markov jump systems with time-varying delay under event-triggered strategy," Applied Mathematics and Computation, Elsevier, vol. 448(C).
    4. Cui, Beibei & Song, Xinmin & Liu, Xiyu, 2019. "Unbiased steady minimum-variance estimation for systems with measurement-delay and unknown inputs," Applied Mathematics and Computation, Elsevier, vol. 356(C), pages 379-391.
    5. Wu, Xifen & Bao, Haibo, 2023. "H∞ state estimation for multiplex networks with randomly occurring sensor saturations," Applied Mathematics and Computation, Elsevier, vol. 437(C).
    6. Xiao, Shuyi & Dong, Jiuxiang, 2023. "Distributed output-feedback resilient fault-tolerant tracking control of uncertain heterogeneous linear MASs under directed topologies and DoS attacks," Applied Mathematics and Computation, Elsevier, vol. 443(C).
    7. Zeng, Deqiang & Zhang, Ruimei & Liu, Yajuan & Zhong, Shouming, 2017. "Sampled-data synchronization of chaotic Lur’e systems via input-delay-dependent-free-matrix zero equality approach," Applied Mathematics and Computation, Elsevier, vol. 315(C), pages 34-46.
    8. Mei, Yu & Wang, Guanqi & Shen, Hao, 2023. "Adaptive Event-Triggered L2−L∞ Control of Semi-Markov Jump Distributed Parameter Systems," Applied Mathematics and Computation, Elsevier, vol. 439(C).
    9. Shi, Chong-Xiao & Yang, Guang-Hong, 2018. "Robust consensus control for a class of multi-agent systems via distributed PID algorithm and weighted edge dynamics," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 73-88.
    10. Mahmoud, Magdi S. & Almutairi, Naif B., 2016. "Feedback fuzzy control for quantized networked systems with random delays," Applied Mathematics and Computation, Elsevier, vol. 290(C), pages 80-97.
    11. Gao, Yuxuan & Zhao, Ying & Liu, Yu & Pan, Zhuo-Rui & Wang, Rui, 2023. "Output tracking anti-disturbance control for turbofan systems," Applied Mathematics and Computation, Elsevier, vol. 456(C).
    12. Ren, Yingying & Ding, Da-Wei & Long, Yue, 2023. "Finite-frequency fixed-order dynamic output-feedback control via a homogeneous polynomially parameter-dependent technique," Applied Mathematics and Computation, Elsevier, vol. 441(C).
    13. Li, Yueyang & Liu, Shuai & Zhong, Maiying & Ding, Steven X., 2018. "State estimation for stochastic discrete-time systems with multiplicative noises and unknown inputs over fading channels," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 116-130.
    14. Wang, Suzhen & Sheng, Yan & Deng, Chengyu & Wang, Yanqian, 2024. "Dynamic event-triggered resilient controller design for discrete-time singular Markov jump CPSs under hybrid cyber-attacks," Applied Mathematics and Computation, Elsevier, vol. 468(C).
    15. Shi, Xuanxuan & Shen, Mouquan, 2019. "A new approach to feedback feed-forward iterative learning control with random packet dropouts," Applied Mathematics and Computation, Elsevier, vol. 348(C), pages 399-412.
    16. Zhou, Lili & Zhang, Yuhao & Tan, Fei & Huang, Mingzhe, 2023. "Adaptive secure synchronization of complex networks under mixed attacks via time-controllable technology," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:451:y:2023:i:c:s0096300323002126. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.