In this paper, the robust fault detection (RFD) problem is studied for uncertain networked systems with time delay and measurement outliers under limited communication condition, where the time delay is presumed to occur randomly and the occurrence probability is considered to be uncertain. Specifically, in order to reduce the communication burden, the stochastic communication protocol (SCP) is introduced to adjust the transmission of measurement signals. Moreover, a fault detection filter (FDF) with saturation constraints is constructed to achieve the purpose of properly eliminating possible measurement outliers. Subsequently, a generalized sector condition is utilized to derive the stability criteria of the system on the basis of appropriate Lyapunov functional. In addition, a traditional FDF is also designed to compare with the saturation-constrained FDF. It is shown that the FDF with saturation constraints can properly avoid the influence of outliers on the detection effect. Finally, three simulations are presented to show the superiority and the practicality of the developed saturation-constrained fault detection (FD) filtering algorithm.

中文翻译：

---

随机通信协议下具有测量异常值的不确定延迟系统的鲁棒故障检测


本文研究了有限通信条件下具有时延和测量异常值的不确定网络系统的鲁棒故障检测（RFD）问题，其中时延被假定为随机发生，并且发生概率被认为是不确定的。具体来说，为了减轻通信负担，引入随机通信协议(SCP)来调整测量信号的传输。此外，构建了具有饱和约束的故障检测滤波器（FDF），以达到适当消除可能的测量异常值的目的。随后，利用广义扇区条件在适当的李亚普诺夫泛函的基础上导出系统的稳定性标准。此外，还设计了传统的FDF来与饱和约束的FDF进行比较。结果表明，带有饱和约束的FDF可以很好地避免异常值对检测效果的影响。最后，通过三个仿真验证了所开发的饱和约束故障检测（FD）滤波算法的优越性和实用性。