Considering the influence of sensor fault modes on the system performance in communication network, under the discrete event-triggered communication scheme (DETCS), the problems of the robust $L_1$ filtering for a class of uncertain networked control systems (NCSs) with multiple sensor fault modes and persistent and amplitude-bounded disturbance constraints are investigated. A set of stochastic variables are adopted to describe the sensor faults, the filtering error system is established, which characterizes the effects of sensor faults and DETCS. By constructing an appropriate delay-dependent Lyapunov-Krasovskii functional, new results on stability and robust $L_1$ performance are proposed for the filtering error system according to Lyapunov theory and the integral inequality method, and the co-design method for gaining the desired $L_1$ filter parameters and event-triggering parameters is given in terms of linear matrix inequalities (LMIs). We notice that with the structrue of Lyapunov-Krasovskii functional which considers the piecewise-linear sawtooth structure characteristic of transmission delay, a less conservative result is obtained. Finally, three examples are provided to illustrate the feasibility of the proposed method.

考虑到传感器故障模式对通信网络中系统性能的影响，在离散事件触发通信方案（DETCS）下，鲁棒性问题 ${\mathrm{大号}}_{\mathrm{1个}}$研究了一类具有多种传感器故障模式以及持续性和幅度限制扰动约束的不确定网络控制系统（NCS）的滤波。采用一组随机变量描述传感器故障，建立滤波误差系统，表征传感器故障和DETCS的影响。通过构建适当的依赖于延迟的Lyapunov-Krasovskii泛函，稳定性和鲁棒性的新结果${\mathrm{大号}}_{\mathrm{1个}}$ 根据李雅普诺夫理论和积分不等式方法，提出了滤波误差系统的性能，以及获得期望值的协同设计方法。 ${\mathrm{大号}}_{\mathrm{1个}}$滤波器参数和事件触发参数是根据线性矩阵不等式（LMI）给出的。我们注意到，利用考虑传输延迟的分段线性锯齿结构特征的Lyapunov-Krasovskii泛函的结构，可以获得较不保守的结果。最后，通过三个例子说明了该方法的可行性。