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一类随机不确定网络控制系统的H∞滤波器设计

李明扬 张玲 褚东升 于海波

中国海洋大学学报(自然科学版)2018,Vol.48Issue(4):134-139,152,7.
中国海洋大学学报(自然科学版)2018,Vol.48Issue(4):134-139,152,7.DOI:10.16441/j.cnki.hdxb.20150278

一类随机不确定网络控制系统的H∞滤波器设计

H∞ Filter Design for a Class of Stochastic Networked Control Systems with Uncertainties

李明扬 1张玲 1褚东升 1于海波2

作者信息

  • 1. 中国海洋大学工程学院,山东省高校海洋机电装备与仪器重点实验室,山东青岛266100
  • 2. 中国海洋大学基础教育中心,山东青岛266100
  • 折叠

摘要

Abstract

In networked control systems,the input and output data is transimtted through communication channels.Data is always contaminated seriously or even lost because of the multiplicative noise,additive noise,dropouts and delays existing in channels.In this paper,an H∞ filter for a class of networked control system (NCS) with the above uncertainties is designed.First,a stochastic system contains multilicative noise,dropouts and random one-step delays in both sensor-to-estimator and controller-to-actutor channels are presented.It is noticed that package is not time-stampled,which means the probability of dropouts and one-step delays are known while the status of a package on a certain instant is unkonwn.Second,the charaters of channels are transformed into stochastic parameters of a new system by dimension expansion,an error system is introduced based on the augmented system.Then a sufficient condition of the H∞ performance of the error system is concluded as a matrix inequality.In order to design a filter with optimal H∞ performance,the matrix inequality is transformed into a linear matrix inequality utilizing congruent transformation,which can be easily solved by existing tools.Thereby,the design of H∞ filter is formulated into a convex programming problem restrited by a set of linear matrix inequality (LMI).Finally,some numerical examples are given to validate the effectiveness of the proposed algorithms,and the advantage of the present filter over some existing literature is proved.

关键词

乘性噪声/网络控制系统/线性矩阵不等式/H无穷滤波器

Key words

multiplicative noise/networked control systems/linear matrix inequalities/H infinite filter

分类

信息技术与安全科学

引用本文复制引用

李明扬,张玲,褚东升,于海波..一类随机不确定网络控制系统的H∞滤波器设计[J].中国海洋大学学报(自然科学版),2018,48(4):134-139,152,7.

基金项目

海洋公益性科研专项项目(201505002) (201505002)

国家自然科学基金项目(41506114 ()

6160336)资助 Supported by National Narine Technology Program for Public Welfare (201505002) (201505002)

National Natural Science Foundation of China(41506114 ()

6160336) ()

中国海洋大学学报(自然科学版)

OA北大核心CSCDCSTPCD

1672-5174

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