基于Delta算子时变时延网络控制系统的H_∞滤波  

H-infinity Filtering for Networked Control Systems with Time-varying Delay Using Delta Operator Approach

作　　者：张端金[1] 刘雪[1] 范鑫[1] 

机构地区：[1]郑州大学信息工程学院,河南郑州450001

出　　处：《郑州大学学报（工学版）》2016年第2期10-14,共5页Journal of Zhengzhou University（Engineering Science）

基　　金：国家自然科学基金资助项目(61471323);河南省教育厅科学技术研究重点资助项目(14A120004)

摘　　要：研究了具有时变时延的网络控制系统滤波问题,设计了一个H_∞滤波器使得时变时延系统保持稳定,基于Delta算子,使得连续域的设计方法可直接应用于离散域的设计.首先对时变时延的网络控制系统进行建模,构造了滤波误差系统,然后采用Lyapunov-Krasovskii泛函的方法,保留了经常被忽略的有用时延项,对网络控制系统的H_∞滤波器误差系统进行性能分析,再通过一组线性矩阵不等式给出了使滤波误差系统渐近稳定的充分条件,并且得到了H_∞滤波器的设计方法及导数表达式,最后通过数值例子表明本文方法的有效性.This paper is concerned with the problem of filtering for network-based systems with time-varying delay. A filter is designed to ensure the stability of the system. The filtering problems can be studied in the combination form via Delta operator approach. Firstly,a model is constructed,then by using a Lyapunov-Krasovskii function the performance analysis of network-based H-infinity filtering-error systems were proposed by retaining some useful time-delay terms. And a sufficient condition of asymptotically stability for filtering error system and the design method of H-infinity filter are derived in terms of several linear matrix inequalities. A numerical example shows the effectiveness of the proposed approach.

关 键 词：网络控制系统 H∞滤波 DELTA算子 时变时延 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]