Study on Robust H_∞ Filtering in Networked Environments

This paper is concerned with the robust H ∞ filter problem for networked environments, which are subject to both transmission delay and packet dropouts randomly. By employing random series which have Bernoulli distributions taking value of 0 or 1, the data transmission model is obtained. Based on st...

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Bibliographic Details
Published inInternational journal of automation and computing Vol. 8; no. 4; pp. 465 - 471
Main Authors Cai, Yun-Ze, Xu, Li, Gao, Jian-Xi, Xu, Xiao-Ming
Format Journal Article
LanguageEnglish
Published Heidelberg Institute of Automation, Chinese Academy of Sciences 01.11.2011
Springer Nature B.V
Subjects
CAE) and Design
Computer Applications
Computer-Aided Engineering (CAD
Control
Data transmission
Engineering
Filtration
H infinity
Linear matrix inequalities
Mathematical analysis
Mechatronics
Robotics
Robustness (mathematics)
传输时延
伯努利分布
数据传输模型
筛选
线性矩阵不等式
网络环境
随机序列
鲁棒稳定性
linear matrix inequality (LMI)
Robust filtering
packet dropouts
transmission delay
networked environments
Online AccessGet full text
ISSN1476-8186
2153-182X
1751-8520
2153-1838
DOI10.1007/s11633-011-0605-1

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Summary:This paper is concerned with the robust H ∞ filter problem for networked environments, which are subject to both transmission delay and packet dropouts randomly. By employing random series which have Bernoulli distributions taking value of 0 or 1, the data transmission model is obtained. Based on state augmentation and stochastic theory, the sufficient condition for robust stability with H ∞ constraints is derived for the filtering error system. The robust filter is designed in terms of feasibility of one certain linear matrix inequality （LMI）, which is formed by adopting matrix congruence transformations. A numerical example is given to show the effectiveness of the proposed filtering method.
Bibliography:Robust filtering, networked environments, transmission delay, packet dropouts, linear matrix inequality （LMI）.
This paper is concerned with the robust H ∞ filter problem for networked environments, which are subject to both transmission delay and packet dropouts randomly. By employing random series which have Bernoulli distributions taking value of 0 or 1, the data transmission model is obtained. Based on state augmentation and stochastic theory, the sufficient condition for robust stability with H ∞ constraints is derived for the filtering error system. The robust filter is designed in terms of feasibility of one certain linear matrix inequality （LMI）, which is formed by adopting matrix congruence transformations. A numerical example is given to show the effectiveness of the proposed filtering method.
11-5350/TP
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ISSN:1476-8186
2153-182X
1751-8520
2153-1838
DOI:10.1007/s11633-011-0605-1