不确定时滞中立系统的鲁棒H_∞滤波器设计  

A design of robust H_∞ filter for uncertain neutral systems with time delays

作　　者：王月娥[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）》2010年第2期5-11,共7页Journal of Shaanxi Normal University：Natural Science Edition

基　　金：国家自然科学基金资助项目(10571114);陕西省自然科学基础研究计划项目(SJ08A20)

摘　　要：对带有状态时滞的不确定中立系统的满阶鲁棒H∞滤波器设计问题进行了研究,目的是对于所容许的不确定性和时滞,设计一个满阶鲁棒H∞滤波器,使得滤波误差动态系统是渐近稳定的并且满足给定的H∞性能要求.在Liapunov稳定性理论的基础上,通过使用线性矩阵不等式方法,证明了在一定条件下,存在一个鲁棒H∞滤波器使得相当的滤波误差动态系统是渐近稳定的,当这些条件满足时,给出了所求的鲁棒H∞滤波器.最后用数值算例验证了结论的可行性和有效性.The problem of robust H∞ filtering for uncertain neutral systems with time delays is considered.The purpose is to design a full filter with asymptotically stability and prescribed H∞ performance level for the filtering error dynamic system,uncertainties and the time delays.Based on the Liapunov stability theory and linear matrix inequality（LMI） approach,it is proved that under some conditions,there exists an H∞ filter such that the related filtering error system is asymptotically stable.Moreover,an explicit parametrization of the desired full robust H∞ filter is presented when these conditions are feasible.A numerical example is given to demonstrate the feasibility and effectiveness of the design.

关 键 词：中立系统 渐近稳定性 鲁棒H∞滤波器 线性矩阵不等式方法 

分 类 号：O231[理学—运筹学与控制论]