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<p>The problem of quantized stabilization is investigated for discrete interval type-2 (IT2) fuzzy semi-Markovian switching models under denial-of-service (DoS) attacks. Unlike the traditional Takagi-Sugeno fuzzy model, the nonlinear system with parameter uncertainty is represented by the IT2 fuzzy model. Due to the actual system state difficult to measure, the observer-based measurement is adopted. Based on IT2 fuzzy model, semi-Markovian kernel, and Lyapunov function, the <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="34_2025_3098_Article_IEq1.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(\sigma \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>σ</mi> </math></EquationSource> </InlineEquation>-mean-square stability criterion is proposed for the underlying model. Furthermore, the quantized feedback controller is designed to suppress the influence of DoS attacks and ensure the closed-loop system <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="34_2025_3098_Article_IEq1.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(\sigma \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>σ</mi> </math></EquationSource> </InlineEquation>-mean-square stable. Finally, the superiority of quantized controller is verified by the single-link robot arm model.</p>

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Quantized Stabilization for Discrete IT2 Fuzzy Semi-Markovian Switching Models under DoS Attacks

  • 期刊论文

  • 发表日期：

    2025年4月5日

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  • Guimei Wei,
  • Runkun Li,
  • Wenhai Qi,
  • Jun Cheng,
  • Kaibo Shi

摘要

The problem of quantized stabilization is investigated for discrete interval type-2 (IT2) fuzzy semi-Markovian switching models under denial-of-service (DoS) attacks. Unlike the traditional Takagi-Sugeno fuzzy model, the nonlinear system with parameter uncertainty is represented by the IT2 fuzzy model. Due to the actual system state difficult to measure, the observer-based measurement is adopted. Based on IT2 fuzzy model, semi-Markovian kernel, and Lyapunov function, the \(\sigma \) σ -mean-square stability criterion is proposed for the underlying model. Furthermore, the quantized feedback controller is designed to suppress the influence of DoS attacks and ensure the closed-loop system \(\sigma \) σ -mean-square stable. Finally, the superiority of quantized controller is verified by the single-link robot arm model.