IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v453y2023ics0096300323002400.html
   My bibliography  Save this article

Extended dissipative filter design for discrete-time interconnected fuzzy systems with time-varying delays subject to cyber attacks

Author

Listed:
  • Sanjay, K.
  • Vijay Aravind, R.
  • Balasubramaniam, P.

Abstract

This article addresses the problem of extended dissipative filtering design for the class of nonlinear interconnected systems with time-varying delays under the cyber attacks. The dynamics of proposed interconnected systems (ISs) is modeled by the Takagi-Sugeno fuzzy (TSF) IF-THEN rules. The relevant practical model is used to describe the network connectivity between the plant and the filter. In addition, to develop the filter for nonlinear systems in more practical sense, the sensor delays and the influence of cyber attacks are taken into account during the signal transmission. In order to verify that the developed closed-loop system is asymptotically stable with extended dissipative, sufficient conditions are derived by constructing the delay-dependent Lyapunov-Krasovskii functional (LKF) and employing the summation inequalities through the linear matrix inequalities (LMIs) approach. The outcomes of theoretical results can be used to analyze the various performances like H∞ performance, (Υ1,Υ2,R)−α−dissipativity, passivity, mixed H∞/passivity, and l2−l∞ performance in a single framework. At last, a numerical example is presented to demonstrate the proposed method and to validate the theoretical findings in a practical sense.

Suggested Citation

  • Sanjay, K. & Vijay Aravind, R. & Balasubramaniam, P., 2023. "Extended dissipative filter design for discrete-time interconnected fuzzy systems with time-varying delays subject to cyber attacks," Applied Mathematics and Computation, Elsevier, vol. 453(C).
  • Handle: RePEc:eee:apmaco:v:453:y:2023:i:c:s0096300323002400
    DOI: 10.1016/j.amc.2023.128071
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300323002400
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.amc.2023.128071?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. Leonardo Pedroso & Pedro Batista & Paulo Oliveira & Carlos Silvestre, 2022. "Discrete-time distributed Kalman filter design for networks of interconnected systems with linear time-varying dynamics," International Journal of Systems Science, Taylor & Francis Journals, vol. 53(6), pages 1334-1351, April.
    2. Chen, Qi-Xin & Chang, Xiao-Heng, 2022. "Resilient filter of nonlinear network systems with dynamic event-triggered mechanism and hybrid cyber attack," Applied Mathematics and Computation, Elsevier, vol. 434(C).
    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. Xu, Qiyi & Zhang, Ning & Qi, Wenhai, 2023. "Finite-time control for discrete-time nonlinear Markov switching LPV systems with DoS attacks," Applied Mathematics and Computation, Elsevier, vol. 443(C).
    2. Sebastián Riffo & Walter Gil-González & Oscar Danilo Montoya & Carlos Restrepo & Javier Muñoz, 2022. "Adaptive Sensorless PI+Passivity-Based Control of a Boost Converter Supplying an Unknown CPL," Mathematics, MDPI, vol. 10(22), pages 1-15, November.
    3. Xu, Lin-Xing & Wang, Yu-Long & Wang, Fei & Long, Yue, 2023. "Event-triggered active disturbance rejection trajectory tracking control for a quadrotor unmanned aerial vehicle," Applied Mathematics and Computation, Elsevier, vol. 449(C).
    4. Mourad Kchaou & Cecilia Castro & Rabeh Abbassi & Víctor Leiva & Houssem Jerbi, 2024. "Security Control for a Fuzzy System under Dynamic Protocols and Cyber-Attacks with Engineering Applications," Mathematics, MDPI, vol. 12(13), pages 1-34, July.
    5. Xiong, Menghui & Zhang, Baoyong & Yuan, Deming & Zhang, Yijun & Chen, Jun, 2023. "Event-triggered distributed online convex optimization with delayed bandit feedback," Applied Mathematics and Computation, Elsevier, vol. 445(C).
    6. Wang, Xianming & Shen, Mouquan, 2023. "Model free optimal control of unknown nonaffine nonlinear systems with input quantization and DoS attack," Applied Mathematics and Computation, Elsevier, vol. 448(C).
    7. Kaviarasan, Boomipalagan & Kwon, Oh-Min & Park, Myeong Jin & Sakthivel, Rathinasamy, 2023. "Reduced-order filtering for semi-Markovian jump systems against randomly occurring false data injection attacks," Applied Mathematics and Computation, Elsevier, vol. 444(C).
    8. Wang, Xiaomin & Li, Feng & Hu, Xingliu & Wang, Jing, 2023. "Mixed H∞/passive synchronization for persistent dwell-time switched neural networks via an activation function dividing method," Applied Mathematics and Computation, Elsevier, vol. 442(C).
    9. Mourad Kchaou & Mohamed Amin Regaieg, 2023. "Event-Triggered Extended Dissipativity Fuzzy Filter Design for Nonlinear Markovian Switching Systems against Deception Attacks," Mathematics, MDPI, vol. 11(9), pages 1-27, April.
    10. Xu, Ziqiang & Li, Yun & Zhan, Xisheng & Yan, Huaicheng & Han, Yiyan, 2024. "Time-varying formation of uncertain nonlinear multi-agent systems via adaptive feedback control approach with event-triggered impulsive estimator," Applied Mathematics and Computation, Elsevier, vol. 475(C).
    11. Hu, Yifan & Liu, Wenhui, 2023. "Adaptive fuzzy dynamic surface control for nonstrict-feedback nonlinear state constrained systems with input dead-zone via event-triggered sampling," Applied Mathematics and Computation, Elsevier, vol. 450(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:453:y:2023:i:c:s0096300323002400. 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.