This paper deals with the fault detection problem for a class of randomly occurring nonlinear systems with channel fadings under stochastic communication protocol (SCP). Due to the limited communication capacity, the stochastic communication protocol is adopted to determine when the sensor node is used to transmit data between the sensors and the fault detection filter, the actual measurement signal received by the filter is represented by the L-order Rice fading model. A non-fragile fault detection filter is constructed to generate the residual signal. And in order to analyze the stable of the error dynamics, an auxiliary error system is established. Combining stochastic analysis technique, Lyapunov stability theory, linear matrix inequalities(LMIs) calculation method and H_∞ filtering technique, the fault detection problem is transformed into equivalent H_∞ filtering problem, the sufficient conditions for the existence of fault detection filter are obtained that ensure stochastically stability of the error dynamics with prescribed H_∞ performance constraints. In addition, the filter gains can be calculated by solving the LMI. Finally, a numerical simulation example is given for the effectiveness of the fault detection scheme.

本文研究了一类随机信道发生随机衰落的非线性系统在随机通信协议（SCP）下的故障检测问题。由于通信能力有限，采用随机通信协议来确定何时使用传感器节点在传感器与故障检测滤波器之间传输数据，该滤波器接收到的实际测量信号用L阶莱斯衰落表示。模型。构造了一个非脆弱故障检测滤波器以产生残留信号。为了分析误差动态的稳定性，建立了辅助误差系统。组合随机分析技术，Lyapunov稳定性理论，线性矩阵不等式计算方法和ħ _∞过滤技术，故障检测问题转化为等效ħ _∞滤波问题，获得了用于故障检测过滤器的存在的充分条件，以确保随机与规定的错误动态稳定性ħ _∞性能约束。另外，可以通过求解LMI来计算滤波器增益。最后，给出了一个数值仿真示例，说明了故障检测方案的有效性。