[1]张端金,刘雪.范鑫.基于Delta算子时变时延网络控制系统的H∞滤波[J].郑州大学学报(工学版),2016,37(02):10-14.[doi:10.3969/j.issn.1671-6833.201405039]
　Zhang Duanjin,Liu Xue,Fan Xin.H-infinity Filtering for Network-based Systems with Time-varying Delay Via Delta Operator Approach[J].Journal of Zhengzhou University (Engineering Science),2016,37(02):10-14.[doi:10.3969/j.issn.1671-6833.201405039]
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基于Delta算子时变时延网络控制系统的H∞滤波()
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《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:
37
期数:
2016年02期
页码:
10-14
栏目:
出版日期:
2016-04-18

文章信息/Info

Title:
H-infinity Filtering for Network-based Systems with Time-varying Delay Via Delta Operator Approach
作者:
张端金; 刘雪.范鑫
郑州大学信息工程学院,河南郑州,450001
Author(s):
Zhang Duanjin; Liu Xue; Fan Xin
School of Information Engineering, Zhengzhou University, Zhengzhou, Henan 450001
关键词:
网络控制系统; H∞滤波; Delta算子; 时变时延
Keywords:
networked control system; H∞ filtering; Delta operator; time-varying delay
DOI:
10.3969/j.issn.1671-6833.201405039
文献标志码:
A
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.
Abstract:
The filtering problem of networked control system with time-varying delay is studied, and an H∞ filter is designed to keep the time-varying delay system stable. Based on the Delta operator, the design method of continuous domain can be directly applied to the design of discrete domain. Firstly, the network control system with time-varying delay is modeled, and the filter error system is constructed. Then, the useful time delay item that is often neglected is retained by using the Lyapunov-Krasovskii functional method, and the H∞ filter of the network control system The performance analysis of the error system is carried out, and then a sufficient condition for making the filtering error system asymptotically stable is given through a set of linear matrix inequalities, and the design method and derivative expression of the H∞ filter are obtained. Finally, the method is shown by a numerical example. validity.

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