中文摘要：

这研究处理与 polytopic 无常为三角洲操作员系统的一个班过滤的柔韧的 H 无穷。由介绍二个松矩阵消除在系统矩阵和 Lyapunov 矩阵之间联合的帮助，围住的真实词根的一个改进版本经由线性矩阵不平等明确的表达被给，它显示出在连续时间、分离时间的 H 无穷性能标准之间的靠近的通讯。基于它，需要的过滤器的存在条件被获得以便相应过滤错误系统与一个保证表演索引是 asymptotically 稳定的。一个数字例子被采用说明建议设计的可行性和优点。

英文摘要：

This study deals with the robust H-infinity filtering for a class of Delta operator systems with polytopic uncertainties. By the aid of introducing two slack matrices to eliminate the coupling between systems matrices and Lya- punov matrices, an improved version of the bounded real lemma is given via linear matrix inequality formulation, which shows a close correspondence between the continuous- and discrete-time H-infinity performance criterion. Based on it, the existence condition of the desired filter is obtained such that the corresponding filtering error system is asymptotically stable with a guaranteed performance index. A numerical example is employed to illustrate the feasibility and advantages of the orooosed design.