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Voluntary defense strategy and quantized sample-data control for T-S fuzzy networked control systems with stochastic cyber-attacks and its application

Author

Listed:
  • Cai, Xiao
  • Shi, Kaibo
  • She, Kun
  • Zhong, Shouming
  • Kwon, Ohmin
  • Tang, Yiqian

Abstract

This work studies mainly the dissipative analysis issue of T-S fuzzy networked control systems (NCSs) with stochastic cyber-attacks (SCAs) and voluntary defense strategy (VDS), which has strong application background in the network information security field. Firstly, a novel time-delay-product relaxed condition (TDPRC) is introduced, which fully excavates time-varying delay (TVD) information in the established condition. Secondly, an improved boundary circulatory function (BLF) is developRed, which takes advantage of the characteristics of the sampling moments. Here, when t∈[tk,tk+1), we only require Qd(t) to be an asymmetric matrix in Vc(x(t)). Then, a novel criterion and the corresponding control algorithm are developed by using reciprocally convex matrix inequality (RCMI), proper integral inequalities, and the linear convex combination method (LCCM). Furthermore, a new quantized sample-data and VDS controller under SCAs is established, which can prove that T-S fuzzy NCSs under a better dissipative index are asymptotically stable (AS). Lastly, a numerical simulation of the dynamic equation of truck-trailer system to certify the theory’s feasibility and validity.

Suggested Citation

  • Cai, Xiao & Shi, Kaibo & She, Kun & Zhong, Shouming & Kwon, Ohmin & Tang, Yiqian, 2022. "Voluntary defense strategy and quantized sample-data control for T-S fuzzy networked control systems with stochastic cyber-attacks and its application," Applied Mathematics and Computation, Elsevier, vol. 423(C).
    • Handle: RePEc:eee:apmaco:v:423:y:2022:i:c:s0096300322000613
    DOI: 10.1016/j.amc.2022.126975
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    References listed on IDEAS

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    1. Lee, Tae H. & Park, Myeong Jin & Park, Ju H., 2021. "An improved stability criterion of neural networks with time-varying delays in the form of quadratic function using novel geometry-based conditions," Applied Mathematics and Computation, Elsevier, vol. 404(C).
    2. Shaukat, N. & Khan, B. & Ali, S.M. & Mehmood, C.A. & Khan, J. & Farid, U. & Majid, M. & Anwar, S.M. & Jawad, M. & Ullah, Z., 2018. "A survey on electric vehicle transportation within smart grid system," Renewable and Sustainable Energy Reviews, Elsevier, vol. 81(P1), pages 1329-1349.
    3. Cai, Xiao & Zhong, Shouming & Wang, Jun & Shi, Kaibo, 2020. "Robust H∞ control for uncertain delayed T-S fuzzy systems with stochastic packet dropouts," Applied Mathematics and Computation, Elsevier, vol. 385(C).
    4. Chen, Zongjie & Zhang, Yigang & Kong, Qingkai & Fang, Ting & Wang, Jing, 2022. "Observer-based H∞ control for persistent dwell-time switched networked nonlinear systems under packet dropout," Applied Mathematics and Computation, Elsevier, vol. 415(C).
    5. Wang, Haitao & Chen, Xiangyong & Wang, Jing, 2022. "H∞ sliding mode control for PDT-switched nonlinear systems under the dynamic event-triggered mechanism," Applied Mathematics and Computation, Elsevier, vol. 412(C).
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    Cited by:

    1. Hejun Yao & Fangzheng Gao, 2022. "Design of Observer and Dynamic Output Feedback Control for Fuzzy Networked Systems," Mathematics, MDPI, vol. 11(1), pages 1-13, December.
    2. Shi, Kaibo & Cai, Xiao & She, Kun & Zhong, Shouming & Soh, YengChai & Kwon, OhMin, 2022. "Quantized memory proportional–integral control of active power sharing and frequency regulation in island microgrid under abnormal cyber attacks," Applied Energy, Elsevier, vol. 322(C).
    3. Hu, Yue & Kwon, Oh-Min & Cai, Chenxiao & Kim, Yeong-Jae, 2024. "Output feedback H∞ control for discrete time singularly perturbed systems with Markov lossy network: The round-robin-like protocol case," Applied Mathematics and Computation, Elsevier, vol. 462(C).

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