摘要
设计了含有时滞环节的无偏H∞滤波器,对时滞系统中不易测量的状态变量进行了估计。基于LMI技术推导了滤波误差系统满足渐近稳定和具有H∞扰动衰减水平γ的充分条件。由于无偏条件的引入,克服了原有方法对待估计时滞系统是稳定的限制,可对临界稳定或不稳定时滞系统的不可测量状态进行估计,并且设计滤波器的计算量也减小。应用本文所提方法对由石油精炼过程构成的单时滞系统中的产品P含量进行了估计,并与时滞无关的无偏H∞滤波器相比,时滞有关的无偏H∞滤波器的估计精度高,说明了本文方法的可行性。
A linear matrix inequality(LMI) approach was used to design an unbised H∞ filter and the estimation for state variables which were not easily measured in the time delay system was conducted.This filtering error system derived on the basis of LMI satisfiies asymptotically stable condition and H∞ norm of the transfer function of the error system is less than a possitive scalar γ.By the introduction of the unbiased condition,the the proposed approach overcomes the stability limitation in the estimation of the ...
出处
《吉林大学学报（工学版）》
EI
CAS
CSCD
北大核心
2009年第2期473-479,共7页
Journal of Jilin University:Engineering and Technology Edition
基金
国家杰出青年科学基金项目(60725311)
