In this article, considering one type of fuzzy discrete‐time networked control systems (NCSs) under stochastic communication protocol (SCP), a fuzzy‐based nonfragile H_∞ filter is developed to detect the subsistent fault signal. The Takagi‐Sugeno (T‐S) mathematical model is employed to approximate the nonlinearities in the concerned fuzzy NCSs. The SCP is adopted to decide which sensor gets the access to the communication network at certain time instant, and the scheduling model of which is constructed as a Markov chain. Taking into account that the filter gain parameters in real practice may suffer fluctuations during the implementation, a modified nonfragile fuzzy filter is designed to detect the fault occurred in the signal transmission. By using the strong centralized stochastic analysis technique and the matrix calculation method, a Lyapunov function is adopted to derive sufficient conditions under which the filtering error dynamics is stochastically stable and the H_∞ performance is satisfied. Then, the desired nonfragile fuzzy fault detection filter is realized by solving a certain linear matrix inequality. Finally, the effectiveness of the develop fault detection scheme is verified in the simulation example.

中文翻译：

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随机通信协议下模糊离散系统的非脆弱H∞故障检测

在本文中，考虑一种类型的下随机通信协议模糊离散时间的网络控制系统（网络控制系统）（SCP），一个模糊基于非脆弱的ħ _∞开发了用于检测持续故障信号的滤波器。使用Takagi-Sugeno（TS）数学模型来估算相关模糊NCS中的非线性。采用SCP来确定哪个传感器在某个特定时刻可以访问通信网络，并将其调度模型构建为马尔可夫链。考虑到实际中的滤波器增益参数在实现过程中可能会出现波动，因此设计了一种改进的非脆弱模糊滤波器来检测信号传输中出现的故障。通过使用强集中随机分析技术和矩阵计算方法，李亚普诺夫函数被采用以得到足够的条件下，其中所述滤波误差动态是随机稳定和ħ _∞性能令人满意。然后，通过求解一定的线性矩阵不等式，实现了期望的非脆弱模糊故障检测滤波器。最后，在仿真实例中验证了开发故障检测方案的有效性。