In this article, multiple delay-dependent event-triggered finite-time $H_{\infty }$ filtering as well as fault-tolerant control is discussed for networked random systems subject to state as well as input constraints. This is the first time to explore fault detection issue via filtering for networked random models. First, an event-triggered scheme is designed. Secondly, a zero order holder is studied. According to this event-triggered mechanism, a fault detection filter, a fault weighting system and a controller are investigated for the networked random system. And then an augmented system can be got. Sufficient conditions of mean-square finite-time boundedness with input-output finite-time mean square stabilization can be provided through the framework of linear matrix inequalities. Finally, these effectiveness and merits are verified by an example.

在本文中，多个延迟相关事件触发的有限时间 $H_{\infty }$讨论了受状态和输入约束的网络随机系统的过滤和容错控制。这是第一次通过网络随机模型过滤来探索故障检测问题。首先，设计了一个事件触发方案。其次，研究了零阶持有者。根据这种事件触发机制，研究了网络随机系统的故障检测滤波器、故障加权系统和控制器。然后可以得到一个增强系统。通过线性矩阵不等式的框架可以提供具有输入-输出有限时间均方稳定性的均方有限时间有界的充分条件。最后，通过实例验证了这些有效性和优点。