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<p>The focus of this study is on investigating the fault detection (FD) challenges for the interval type-2 (IT2) Takagi-Sugeno fuzzy systems in wireless sensor networks. In an attempt to minimize the volume of signal transfers and achieve the effect of saving network resources, a dynamic event-based weighted try-once-discard (DE-WTOD) protocol is executed. The DE-WTOD protocol will schedule sensor nodes by adjusting data release and transmission timings, which can provide a great risk mitigation strategy of data collisions. Concurrently, an asynchronous IT2 fuzzy filter with mismatched membership functions is designed as a residual generator to guarantee the required fault detection of the system. By employing the construction of a pertinent Lyapunov functionals and the matrix analysis method, we establish sufficient conditions to ensure asymptotic stability with a predetermined <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(H_{\infty }\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>H</mi> <mi>∞</mi> </msub> </math></EquationSource> </InlineEquation> performance for the IT2 fuzzy residual systems. Furthermore, the asynchronous fuzzy FD filter gains were developed through the utilization of linear matrix inequalities. Finally, the feasibility and effectiveness of this method were verified through a numerical example.</p>

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Fault Detection Filter Design for IT2 Fuzzy Systems with DE-WTOD Protocols

  • 期刊论文

  • 发表日期：

    2026年2月25日

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  • Yushun Tan,
  • Xinyu Yuan,
  • Xinrui Li,
  • Yuanzheng Tan

摘要

The focus of this study is on investigating the fault detection (FD) challenges for the interval type-2 (IT2) Takagi-Sugeno fuzzy systems in wireless sensor networks. In an attempt to minimize the volume of signal transfers and achieve the effect of saving network resources, a dynamic event-based weighted try-once-discard (DE-WTOD) protocol is executed. The DE-WTOD protocol will schedule sensor nodes by adjusting data release and transmission timings, which can provide a great risk mitigation strategy of data collisions. Concurrently, an asynchronous IT2 fuzzy filter with mismatched membership functions is designed as a residual generator to guarantee the required fault detection of the system. By employing the construction of a pertinent Lyapunov functionals and the matrix analysis method, we establish sufficient conditions to ensure asymptotic stability with a predetermined \(H_{\infty }\) H ∞ performance for the IT2 fuzzy residual systems. Furthermore, the asynchronous fuzzy FD filter gains were developed through the utilization of linear matrix inequalities. Finally, the feasibility and effectiveness of this method were verified through a numerical example.