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<p>This paper addresses the fault detection (FD) problem for Markov jump systems (MJSs) with randomly occurring nonlinearities (RONs) and mode-dependent quantization under stochastic communication protocol (SCP). Before being transmitted to the filter, the measurement outputs are quantized by mode-dependent logarithmic quantizers. Moreover, the SCP governed by a Markov chain is adopted to alleviate network burden. To address the data discarding problem caused by SCP, an event-triggered compensation mechanism (ETCM) is introduced to compensate the measurement outputs, thereby improving the FD filtering performance. Then, by using the Lyapunov stability theory and the matrix inequality calculation method, an FD filter that guarantees the stochastic stability (SS) and satisfies the prescribed <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(H_{\infty }\)</EquationSource> </InlineEquation> performance of the error dynamic system is designed. Furthermore, the specific expression of the filter gains is derived by solving a linear matrix inequality (LMI). Finally, two simulation examples are utilized to show the effectiveness and superiority of the designed FD scheme based on SCP with the ETCM.</p>

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Fault Detection for Quantized Markov Jump Systems Under Stochastic Communication Protocol via a Event-triggered Compensation Mechanism

  • 期刊论文

  • 发表日期：

    2025年11月15日

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  • Zhihui Wu,
  • Jing Yin,
  • Siteng Ma

摘要

This paper addresses the fault detection (FD) problem for Markov jump systems (MJSs) with randomly occurring nonlinearities (RONs) and mode-dependent quantization under stochastic communication protocol (SCP). Before being transmitted to the filter, the measurement outputs are quantized by mode-dependent logarithmic quantizers. Moreover, the SCP governed by a Markov chain is adopted to alleviate network burden. To address the data discarding problem caused by SCP, an event-triggered compensation mechanism (ETCM) is introduced to compensate the measurement outputs, thereby improving the FD filtering performance. Then, by using the Lyapunov stability theory and the matrix inequality calculation method, an FD filter that guarantees the stochastic stability (SS) and satisfies the prescribed \(H_{\infty }\) performance of the error dynamic system is designed. Furthermore, the specific expression of the filter gains is derived by solving a linear matrix inequality (LMI). Finally, two simulation examples are utilized to show the effectiveness and superiority of the designed FD scheme based on SCP with the ETCM.