Improved robust H∞ filtering for polytopic delta operator systems

Ying Zhang; Rui Zhang; Baopu Li; Jingsheng Liao

doi:10.1109/WCICA.2012.6358206

Improved robust H_∞ filtering for polytopic delta operator systems

Ying Zhang^*
, Rui Zhang
, Baopu Li
, Jingsheng Liao

^*Corresponding author for this work

Harbin Institute of Technology Shenzhen
The Chinese University of Hong Kong, Shenzhen

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

The problem of robust H_∞ filtering for polytopic Delta operator systems is investigated. The main purpose is to obtain a stable and proper linear filter such that the filtering error system remains robustly stable with a prescribed H_∞ attenuation level. Based on the bounded real lemma, a more efficient evaluation of robust H_∞ performance can be obtained by a matrix inequality condition which contains additional free parameters. When applying this new matrix inequality condition to be the robust filter design, these parameters provide extra degrees of freedom in optimizing the guaranteed H_∞ performance and lead to a less-conservative design. A numerical example is included to illustrate the effectiveness of the proposed approach.

Original language	English
Title of host publication	WCICA 2012 - Proceedings of the 10th World Congress on Intelligent Control and Automation
Pages	2011-2016
Number of pages	6
DOIs	https://doi.org/10.1109/WCICA.2012.6358206
State	Published - 2012
Externally published	Yes
Event	10th World Congress on Intelligent Control and Automation, WCICA 2012 - Beijing, China Duration: 6 Jul 2012 → 8 Jul 2012

Publication series

Name	Proceedings of the World Congress on Intelligent Control and Automation (WCICA)

Conference

Conference	10th World Congress on Intelligent Control and Automation, WCICA 2012
Country/Territory	China
City	Beijing
Period	6/07/12 → 8/07/12

Keywords

H performance
Linear matrix inequality
Polytopic uncertainty
Robust filtering

Access to Document

10.1109/WCICA.2012.6358206

Cite this

@inproceedings{c8c89c030fbf4d0dae57b05c7eb74a13,

title = "Improved robust H∞ filtering for polytopic delta operator systems",

abstract = "The problem of robust H∞ filtering for polytopic Delta operator systems is investigated. The main purpose is to obtain a stable and proper linear filter such that the filtering error system remains robustly stable with a prescribed H∞ attenuation level. Based on the bounded real lemma, a more efficient evaluation of robust H∞ performance can be obtained by a matrix inequality condition which contains additional free parameters. When applying this new matrix inequality condition to be the robust filter design, these parameters provide extra degrees of freedom in optimizing the guaranteed H∞ performance and lead to a less-conservative design. A numerical example is included to illustrate the effectiveness of the proposed approach.",

keywords = "H performance, Linear matrix inequality, Polytopic uncertainty, Robust filtering",

author = "Ying Zhang and Rui Zhang and Baopu Li and Jingsheng Liao",

year = "2012",

doi = "10.1109/WCICA.2012.6358206",

language = "英语",

isbn = "9781467313988",

series = "Proceedings of the World Congress on Intelligent Control and Automation (WCICA)",

pages = "2011--2016",

booktitle = "WCICA 2012 - Proceedings of the 10th World Congress on Intelligent Control and Automation",

note = "10th World Congress on Intelligent Control and Automation, WCICA 2012 ; Conference date: 06-07-2012 Through 08-07-2012",

}

Zhang, Y, Zhang, R, Li, B & Liao, J 2012, Improved robust H_∞ filtering for polytopic delta operator systems. in WCICA 2012 - Proceedings of the 10th World Congress on Intelligent Control and Automation., 6358206, Proceedings of the World Congress on Intelligent Control and Automation (WCICA), pp. 2011-2016, 10th World Congress on Intelligent Control and Automation, WCICA 2012, Beijing, China, 6/07/12. https://doi.org/10.1109/WCICA.2012.6358206

Improved robust H_∞ filtering for polytopic delta operator systems. / Zhang, Ying; Zhang, Rui; Li, Baopu et al.
WCICA 2012 - Proceedings of the 10th World Congress on Intelligent Control and Automation. 2012. p. 2011-2016 6358206 (Proceedings of the World Congress on Intelligent Control and Automation (WCICA)).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - The problem of robust H∞ filtering for polytopic Delta operator systems is investigated. The main purpose is to obtain a stable and proper linear filter such that the filtering error system remains robustly stable with a prescribed H∞ attenuation level. Based on the bounded real lemma, a more efficient evaluation of robust H∞ performance can be obtained by a matrix inequality condition which contains additional free parameters. When applying this new matrix inequality condition to be the robust filter design, these parameters provide extra degrees of freedom in optimizing the guaranteed H∞ performance and lead to a less-conservative design. A numerical example is included to illustrate the effectiveness of the proposed approach.

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