IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i4p662-d753924.html
   My bibliography  Save this article

Distributed Fusion Estimation in Network Systems Subject to Random Delays and Deception Attacks

Author

Listed:
  • María Jesús García-Ligero

    (Departamento de Estadística e I. O., Universidad de Granada, Avda Fuentenueva s/n, 18071 Granada, Spain
    These authors contributed equally to this work.)

  • Aurora Hermoso-Carazo

    (Departamento de Estadística e I. O., Universidad de Granada, Avda Fuentenueva s/n, 18071 Granada, Spain
    These authors contributed equally to this work.)

  • Josefa Linares-Pérez

    (Departamento de Estadística e I. O., Universidad de Granada, Avda Fuentenueva s/n, 18071 Granada, Spain
    These authors contributed equally to this work.)

Abstract

This paper focuses on the distributed fusion estimation problem in which a signal transmitted over wireless sensor networks is subject to deception attacks and random delays. We assume that each sensor can suffer attacks that may corrupt and/or modify the output measurements. In addition, communication failures between sensors and their local processors can delay the receipt of processed measurements. The randomness of attacks and transmission delays is modelled by different Bernoulli random variables with known probabilities of success. According to these characteristics of the sensor networks and assuming that the measurement noises are cross-correlated at the same time step between sensors and are also correlated with the signal at the same and subsequent time steps, we derive a fusion estimation algorithm, including prediction and filtering, using the distributed fusion method. First, for each sensor, the local least-squares linear prediction and filtering algorithm are derived, using a covariance-based approach. Then, the distributed fusion predictor and the corresponding filter are obtained as the matrix-weighted linear combination of corresponding local estimators, checking that the mean squared error is minimised. A simulation example is then given to illustrate the effectiveness of the proposed algorithms.

Suggested Citation

  • María Jesús García-Ligero & Aurora Hermoso-Carazo & Josefa Linares-Pérez, 2022. "Distributed Fusion Estimation in Network Systems Subject to Random Delays and Deception Attacks," Mathematics, MDPI, vol. 10(4), pages 1-17, February.
  • Handle: RePEc:gam:jmathe:v:10:y:2022:i:4:p:662-:d:753924
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/4/662/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/10/4/662/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Raquel Caballero-Águila & Aurora Hermoso-Carazo & Josefa Linares-Pérez, 2017. "Fusion Estimation from Multisensor Observations with Multiplicative Noises and Correlated Random Delays in Transmission," Mathematics, MDPI, vol. 5(3), pages 1-20, September.
    2. Shang, Yilun, 2016. "Consensus seeking over Markovian switching networks with time-varying delays and uncertain topologies," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 1234-1245.
    3. María Jesús García-Ligero & Aurora Hermoso-Carazo & Josefa Linares-Pérez, 2020. "Distributed Fusion Estimation with Sensor Gain Degradation and Markovian Delays," Mathematics, MDPI, vol. 8(11), pages 1-19, November.
    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. Zhao, Lin & Jia, Yingmin & Yu, Jinpeng & Du, Junping, 2017. "H∞ sliding mode based scaled consensus control for linear multi-agent systems with disturbances," Applied Mathematics and Computation, Elsevier, vol. 292(C), pages 375-389.
    2. Cheng-Yu Tang & Jun-Ting Lin, 2019. "Bidirectional Power Flow Control of a Multi Input Converter for Energy Storage System," Energies, MDPI, vol. 12(19), pages 1-16, September.
    3. María Jesús García-Ligero & Aurora Hermoso-Carazo & Josefa Linares-Pérez, 2020. "Distributed Fusion Estimation with Sensor Gain Degradation and Markovian Delays," Mathematics, MDPI, vol. 8(11), pages 1-19, November.
    4. Li, Hongjie & Zhu, Yinglian & jing, Liu & ying, Wang, 2018. "Consensus of second-order delayed nonlinear multi-agent systems via node-based distributed adaptive completely intermittent protocols," Applied Mathematics and Computation, Elsevier, vol. 326(C), pages 1-15.
    5. Huijuan Zhao & Jiapeng Xu & Fangfei Li, 2022. "Event-Triggered Extended Kalman Filtering Analysis for Networked Systems," Mathematics, MDPI, vol. 10(6), pages 1-12, March.
    6. Zhao, Lin & Yu, Jinpeng & Lin, Chong & Yu, Haisheng, 2017. "Distributed adaptive fixed-time consensus tracking for second-order multi-agent systems using modified terminal sliding mode," Applied Mathematics and Computation, Elsevier, vol. 312(C), pages 23-35.
    7. Ismi Rosyiana Fitri & Jung-Su Kim, 2020. "A Nonlinear Model Predictive Control with Enlarged Region of Attraction via the Union of Invariant Sets," Mathematics, MDPI, vol. 8(11), pages 1-15, November.

    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:10:y:2022:i:4:p:662-:d:753924. 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.