摘要
研究了一类具有随机时延的网络化不确定系统的H_∞滤波器设计问题．这类时延的产生是由于传感器和滤波器通过有限带宽的网络连接而引起的系统测量数据的滞后,而且它是随机发生的．本文采用满足Bernoulli分布随机变量来描述测量数据的这种随机时延．利用线性矩阵不等式,给出了全阶和降阶的滤波器存在的充分条件．所设计的滤波器使得滤波误差系统是均方指数稳定且具有给定的H_∞性能．数值仿真表明设计方法的有效性．
This paper deals with an H∞ filter design problem for networked uncertain systems with random time delays. As the sensors and filters are connected via a limited bandwidth communication channel, a system＇s measurements are often subject to randomly varying delays. And the delays are assumed to be the linear functions of the stochastic variables that satisfy Bernoulli random binary distribution. The sufficient conditions for the existence of full- and reduced-order filters are presented, thus, guaranteeing that the filter error systems are exponentially mean-square stable and have a prescribed H∞ disturbance attenuation level via linear matrix inequalities （LMIs）. A numerical example is provided to demonstrate the validity of the proposed design approach.
出处
《自动化学报》
EI
CSCD
北大核心
2007年第5期557-560,共4页
Acta Automatica Sinica
基金
国家自然科学基金(60474049
60604027)
福建省自然科学基金项目(A0510009)~~
作者简介
王武福州大学电气工程与自动化学院讲师，博士．研究方向为鲁棒控制与滤波，非脆弱控制．本文通信作者．E-mail：wangwu@fzu．edu．cn
杨富文福州大学电气工程与自动化学院教授，博士，博士生导师．研究方向为鲁棒控制，信号处理，迭代学习控制，非脆弱控制，工业实时控制和电力电子技术．E-mail：fwyang@fzu．edu．cn
