具有分布时滞的不确定中立系统鲁棒H_∞降维滤波器的设计  

A design of robust H_∞ reduced-order filter for uncertain neutral systems with distributed delay

作　　者：仝云旭[1] 吴保卫[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《陕西师范大学学报（自然科学版）》2014年第2期1-6,共6页Journal of Shaanxi Normal University：Natural Science Edition

基　　金：国家自然科学基金资助项目(10971123)

摘　　要：研究了一类具有分布时滞的不确定中立系统的鲁棒H∞降维滤波器设计问题.利用线性矩阵不等式方法设计鲁棒H∞降维滤波器,保证了滤波误差系统渐近稳定并满足给定的H∞性能要求;以参数显式化的形式给出所求的鲁棒H∞降维滤波器.所有这些结果都只利用原始系统的矩阵而没有分解,这就使得设计过程简便、直接,两个数值算例表明了结论的可行性和有效性.The problem of robust H∞ reduced-order filtering for uncertain neutral systems with distributed delay is considered.A linear matrix inequality approach is exploited to design a robust H∞ reduced-order filter assuring asymptotically stability and a prescribed H∞ performance for the filtering error system.Moreover,an explicit parameterization of desired robust H∞ reduced-order filter is presented.All these results are expressed in term of the original system matrices without decomposition,which makes the design procedure simple and direct.Two numerical examples are given to illustrate the feasibility and effectiveness of the conclusions.

关 键 词：H∞降维滤波器 中立系统 不确定系统 分布时滞 

分 类 号：O231.1[理学—运筹学与控制论]