<p>In this paper, we investigated the dynamic quantized feedback control issue for interval type-2 (IT2) fuzzy systems under non-periodic denial-of-service (DoS) attacks, with a focus on the improved probabilistic event-triggered mechanism (IPETM). The IPETM selects triggering thresholds within a range in a probabilistic (Bernoulli) manner, and introduces a weighted matrix about mode-dependent, and ensuring appropriate data transmission across various network conditions. Additionally, dynamic quantization errors and parameters are integrated into IPETM. Furthermore, we have designed an IPETM feedback controller that accounts for the mismatched membership functions (MFs) between the controller and the IT2 fuzzy model. Finally, we have demonstrated the sufficient conditions for the system asymptotically stable (AS) and <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11071_2025_10879_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="29" /> </InlineMediaObject> <EquationSource Format="TEX">\(H_{\infty }\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>H</mi> <mi>∞</mi> </msub> </math></EquationSource> </InlineEquation> performance against DoS attacks.</p>

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Dynamic quantized feedback control for IT2 fuzzy systems with probabilistic event-based amidst DoS attacks

  • Qibao Zhao,
  • Xixi Wu,
  • Hailing Wang,
  • Jun Cheng

摘要

In this paper, we investigated the dynamic quantized feedback control issue for interval type-2 (IT2) fuzzy systems under non-periodic denial-of-service (DoS) attacks, with a focus on the improved probabilistic event-triggered mechanism (IPETM). The IPETM selects triggering thresholds within a range in a probabilistic (Bernoulli) manner, and introduces a weighted matrix about mode-dependent, and ensuring appropriate data transmission across various network conditions. Additionally, dynamic quantization errors and parameters are integrated into IPETM. Furthermore, we have designed an IPETM feedback controller that accounts for the mismatched membership functions (MFs) between the controller and the IT2 fuzzy model. Finally, we have demonstrated the sufficient conditions for the system asymptotically stable (AS) and \(H_{\infty }\) H performance against DoS attacks.