中文摘要：

在网络系统中由于连接传感器和滤波器的网络带宽有限，系统测量数据在传输中会出现随机时延甚至丢失．本文讨论了具有一步随机时延和丢包的网络系统的H∞滤波器设计问题．基于新近提出的同时描述随机时延和丢包的模型，利用线性矩阵不等式方法设计线性滤波器，使得滤波误差系统均方指数稳定，并具有给定的H∞性能．滤波器参数通过求解一个线性矩阵不等式得到．仿真研究说明了所提出算法的有效性．

英文摘要：

In networked systems, due to the limited bandwidth of communication channel connecting the sensors and the filters, the system measurements will be received with delays or even be lost during data transmission. In this paper, an H∞ filtering problem is discussed for networked systems with random one-step delays and packet dropouts. Based on the new model presented recently which describes the random delays and packet dropouts simultaneously, a linear H∞ filter is designed such that the filtering error system is exponentially mean-square stable and a prescribed H∞ performance is guaranteed via the linear matrix inequality （LMI） approach. The parameters of the filter are obtained by solving an LMI. The simulation study shows the effectiveness of the proposed algorithm.