一类带有状态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,西安710062

出　　处：《重庆师范大学学报（自然科学版）》2010年第5期46-53,共8页Journal of Chongqing Normal University:Natural Science

基　　金：国家自然科学基金(No.10571114);陕西省自然科学基础研究计划项目(No.SJ08A20)

摘　　要：本文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Lya-punov稳定性理论的基础上,通过使用LMI方法得到了满足要求的满阶鲁棒H∞滤波器存在的充分条件:Ω～0<0,X-Y>0。并且当这些条件满足时,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。In this paper,the problem of robust H∞ filtering for uncertain neutral systems with time delays is considered.The purpose is to design full filters assuring asymptotically stability and a prescribed H∞ performance level for the filtering error dynamic system,irrespective of the uncertainties and the timedelays.Based on the Lyapunov stability theory,sufficient condition for the existence of full order H∞ filt-ers is proposed by LMI method such that the filtering error system is asymptotically sable and satisfies a prescribed attenuation level of noise： Ω～0 0,X-Y 0.Moreover,an explicit parametrizationof all desired full robust filter is presented when these conditions are feasible.A numerical e-xample is given t-o 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 LMI 

分 类 号：O231[理学—运筹学与控制论]