中文摘要：

研究了时滞离散系统的以滤波问题。通过引入增广向量，将时滞系统方程转化为不显含时滞的标准离散方程，并基于计算结构力学与最优控制之间的模拟理论，引入区段混合他的概念．采用扩展的Wittrick-Williams算法求解H∞滤波系统的抗干扰性能指标，进而得到时滞对滤波系统抗干扰性能指标的影响，并同时方便地完成了时滞滤波器的设计和海篷方程的求解,时滞H∞滤波器直接从时滞方程中得到，可保证系统的稳定性，是依赖于时滞的设计。

英文摘要：

H∞ filters of discrete systems with state time delays were designed by introducing an extended state vector and transforming the original time-delayed equations into standard discrete equations without time-delays. Based on the analogy theory between structural mechanics and optimal control, the interval mixed energy was defined for the concerned H∞ filtering system. Then, the disturbance attenuation performance index could be computed by the extended Wittrick-Williams algorithm. At the same time, the time-delayed H∞ filter was also designed conveniently. The filter was derived from the original time-delayed equations directly, which depends on the time delays and guarantees the system stability.