IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i6p661-d520540.html
   My bibliography  Save this article

State Estimation for a Class of Distributed Parameter Systems with Time-Varying Delay over Mobile Sensor–Actuator Networks with Missing Measurements

Author

Listed:
  • Huansen Fu

    (Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education) and School of IoT Engineering, Jiangnan University, Wuxi 214122, China
    School of Shipping and Mechatronic Engineering, Taizhou University, Taizhou 225300, China)

  • Baotong Cui

    (Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education) and School of IoT Engineering, Jiangnan University, Wuxi 214122, China)

  • Bo Zhuang

    (School of Information Engineering, Binzhou University, Binzhou 256600, China)

  • Jianzhong Zhang

    (School of Mathematics and Statistics, Taishan University, Taian 271000, China)

Abstract

This work proposes a state estimation strategy over mobile sensor–actuator networks with missing measurements for a class of distributed parameter systems (DPSs) with time-varying delay. Initially, taking advantage of the abstract development equation theory and operator semigroup method, this kind of delayed DPSs described by partial differential equations (PDEs) is derived for evolution equations. Subsequently, the distributed state estimators including consistency component and gain component are designed; the purpose is to estimate the original state distribution of the delayed DPSs with missing measurements. Then, a delay-dependent guidance approach is presented in the form of mobile control forces by constructing an appropriate Lyapunov function candidate. Furthermore, by applying Lyapunov stability theorem, operator semigroup theory, and a stochastic analysis approach, the estimation error systems have been proved asymptotically stable in the mean square sense, which indicates the estimators can approximate the original system states effectively when this kind of DPS has time-delay and the mobile sensors occur missing measurements. Finally, the correctness of control strategy is illustrated by numerical simulation results.

Suggested Citation

  • Huansen Fu & Baotong Cui & Bo Zhuang & Jianzhong Zhang, 2021. "State Estimation for a Class of Distributed Parameter Systems with Time-Varying Delay over Mobile Sensor–Actuator Networks with Missing Measurements," Mathematics, MDPI, vol. 9(6), pages 1-18, March.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:6:p:661-:d:520540
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/6/661/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/6/661/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Liu, Wenqiang & Tao, Guili & Shen, Chen, 2021. "Robust measurement fusion steady-state estimator design for multisensor networked systems with random two-step transmission delays and missing measurements," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 181(C), pages 242-283.
    2. Zhengxian Jiang & Baotong Cui & Xuyang Lou, 2016. "Distributed consensus estimation for diffusion systems with missing measurements over sensor networks," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(12), pages 2753-2761, September.
    Full references (including those not matched with items on IDEAS)

    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. Yang, Bofan & Zhang, Lin & Zhang, Bo & Xiang, Yang & An, Lei & Wang, Wenfeng, 2022. "Complex equipment system resilience: Composition, measurement and element analysis," Reliability Engineering and System Safety, Elsevier, vol. 228(C).
    2. Li, Wang & Dai, Haifeng & Zhao, Lingzhi & Zhao, Donghua & Sun, Yongzheng, 2023. "Noise-induced consensus of leader-following multi-agent systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 1-11.
    3. Yang, Bofan & Zhang, Lin & Zhang, Bo & Wang, Wenfeng & Zhang, Minglinag, 2021. "Resilience Metric of Equipment System: Theory, Measurement and Sensitivity Analysis," Reliability Engineering and System Safety, Elsevier, vol. 215(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:gam:jmathe:v:9:y:2021:i:6:p:661-:d:520540. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.