<p>This paper investigates the asynchronous secure <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(H_{\infty }\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>H</mi> <mi>∞</mi> </msub> </math></EquationSource> </InlineEquation> filter design problem for a class of discrete-time interval type-2 fuzzy Markov jump cyber-physical systems with denial-of-service attacks based on event-triggering weighted try-once-discard (ET-WTOD) protocol. To make better use of limited communication resources, a novel ET-WTOD protocol is proposed which can dynamically schedule sensor data transmissions to further save network resources compared to the conventional WTOD protocol. This protocol is strengthened by a forced triggering mechanism which avoids the performance degradation caused by prolonged periods without data transmissions. Furthermore, considering denial-of-service attacks and packet dropouts, as well as the mode asynchrony between the filter and the system, an ET-WTOD-protocol-based asynchronous fuzzy <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(H_{\infty }\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>H</mi> <mi>∞</mi> </msub> </math></EquationSource> </InlineEquation> filter is designed which uses a hidden Markov model and results in the formation of the filtering error system. By employing Lyapunov stability theory, sufficient conditions are derived to ensure the filtering error system is stochastically stable while satisfying a prescribed <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(H_{\infty }\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>H</mi> <mi>∞</mi> </msub> </math></EquationSource> </InlineEquation> performance. Finally, the effectiveness and advantages of the proposed filtering scheme are verified through two simulations.</p>

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Asynchronous Secure \(H_{\infty }\) Filter Design for IT2 Fuzzy Markov Jump Cyber-physical Systems Based on ET-WTOD Protocol

  • Chaoran Zhang,
  • Linchuang Zhang,
  • Xing Xing,
  • Zhichun Jia,
  • Qingyi Zhao,
  • Yan Lei

摘要

This paper investigates the asynchronous secure \(H_{\infty }\) H filter design problem for a class of discrete-time interval type-2 fuzzy Markov jump cyber-physical systems with denial-of-service attacks based on event-triggering weighted try-once-discard (ET-WTOD) protocol. To make better use of limited communication resources, a novel ET-WTOD protocol is proposed which can dynamically schedule sensor data transmissions to further save network resources compared to the conventional WTOD protocol. This protocol is strengthened by a forced triggering mechanism which avoids the performance degradation caused by prolonged periods without data transmissions. Furthermore, considering denial-of-service attacks and packet dropouts, as well as the mode asynchrony between the filter and the system, an ET-WTOD-protocol-based asynchronous fuzzy \(H_{\infty }\) H filter is designed which uses a hidden Markov model and results in the formation of the filtering error system. By employing Lyapunov stability theory, sufficient conditions are derived to ensure the filtering error system is stochastically stable while satisfying a prescribed \(H_{\infty }\) H performance. Finally, the effectiveness and advantages of the proposed filtering scheme are verified through two simulations.