Abstract: The non-fragile [H∞] filtering problem is studied for networked control systems with time delays and packet-
dropout compensation. The main purpose of the paper is to design a full-order filter for the estimation task, where the filter parameters are allowed to have time-varying uncertainties. The Bernoulli switching sequence is introduced to characterize the time delay and packet-dropout compensation. By using Lyapunov stability theory and Linear Matrix Inequality（LMI） methods, a sufficient condition for the existence of the non-fragile filter is derived, and then the desired filter parameters are obtained by solving the LMIs. A numerical example is provided to demonstrate the effectiveness of the proposed design method.

Key words: delay, data dropout, non-fragile [H∞] filter, time-varying uncertainties

摘要： 针对带有时延与丢包补偿的网络化控制系统的非脆弱[H∞]滤波问题，研究设计一个全维的[H∞]滤波器对系统的待估信号进行估计，这里的滤波器参数含有范数有界不确定性。利用Lyapunov稳定性理论和线性矩阵不等式分析方法，得到了[H∞]滤波器存在的充分条件，通过求解线性矩阵不等式得到非脆弱滤波器增益的参数表达式。通过仿真例子验证了非脆弱滤波器设计方法的有效性与优越性。

关键词: 时延, 丢包, 非脆弱[H&infin, ]滤波器, 范数有界不确定性