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<p>This paper focuses on the finite-time fault detection (FD) problem for uncertain networked systems with distributed delays and packet dropouts. Firstly, two mutually independent Bernoulli stochastic variables are utilized to depict the randomly occurring nonlinearity and packet dropouts, respectively. In order to better reflect the actual network environments, the occurrence probabilities of these phenomena are considered to be uncertain. Secondly, an adaptive event-triggered mechanism is introduced to determine whether the measured output should be transmitted. Subsequently, an FD filter is designed to obtain the residual signal, and sufficient criteria are derived by selecting the suitable Lyapunov functional to ensure that the residual system satisfies the finite-time stochastic stability and the specific <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="34_2025_3095_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 index. Finally, a networked DC motor system is utilized to verify the effectiveness of the proposed FD scheme.</p>

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Finite-Time Fault Detection for Uncertain Delayed Systems with Packet Dropouts Under Adaptive Event-Triggered Mechanism

  • 期刊论文

  • 发表日期：

    2025年4月21日

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  • Guihai Wang,
  • Cai Chen,
  • Zhihui Wu,
  • Siteng Ma

摘要

This paper focuses on the finite-time fault detection (FD) problem for uncertain networked systems with distributed delays and packet dropouts. Firstly, two mutually independent Bernoulli stochastic variables are utilized to depict the randomly occurring nonlinearity and packet dropouts, respectively. In order to better reflect the actual network environments, the occurrence probabilities of these phenomena are considered to be uncertain. Secondly, an adaptive event-triggered mechanism is introduced to determine whether the measured output should be transmitted. Subsequently, an FD filter is designed to obtain the residual signal, and sufficient criteria are derived by selecting the suitable Lyapunov functional to ensure that the residual system satisfies the finite-time stochastic stability and the specific \(H_{\infty }\) H ∞ performance index. Finally, a networked DC motor system is utilized to verify the effectiveness of the proposed FD scheme.