This paper investigates the asynchronous fault detection (FD) problem for discrete-time interval type-2 (IT2) fuzzy Markov jump systems with quantization and partially unknown transition probabilities. To describe the asynchronous phenomenon that the mode information of the system cannot be communicated immediately to the filter, a hidden Markov model is utilized. Considering the effects of quantization and packet losses, an IT2 fuzzy FD filter is designed for generating a residual signal and detecting faults. Then, based on Lyapunov theory, it is proved that the proposed FD filter ensures the stochastic stability and strict dissipativity of the filtering error system. Finally, a numerical example is given to verify the effectiveness of the proposed FD method, which shows that the proposed method is more sensitive to faults than the existing method.

中文翻译：

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具有量化和部分未知转移概率的马尔可夫跳跃系统的模糊异步故障检测

本文研究了具有量化和部分未知转移概率的离散时间间隔类型 2 (IT2) 模糊马尔可夫跳跃系统的异步故障检测 (FD) 问题。为了描述系统的模式信息不能立即传递到滤波器的异步现象，利用隐马尔可夫模型。考虑到量化和丢包的影响，设计了IT2模糊FD滤波器来生成残余信号并检测故障。然后，基于Lyapunov理论，证明了所提出的FD滤波器保证了滤波误差系统的随机稳定性和严格耗散性。最后给出数值算例验证了所提出的FD方法的有效性，表明所提出的方法比现有方法对故障更加敏感。