Polynomially parameter-dependent approach of robust H∞ filter for polytopic delta operator systems

Ying Zhang; Rui Zhang; Chao Hu; Yongqing Dong

doi:10.1109/WCICA.2010.5554615

Polynomially parameter-dependent approach of robust H_∞ filter for polytopic delta operator systems

Ying Zhang^*
, Rui Zhang
, Chao Hu
, Yongqing Dong

^*Corresponding author for this work

Harbin Institute of Technology Shenzhen
Shenzhen Institute of Advanced Technology
Chinese University of Hong Kong
Radio Relaying Station of Changbai

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. An enhanced linear matrix inequality (LMI) representation for H_∞ performance criterion is presented based on the bounded real lemma by introducing two slack matrices. Upon this criterion, a structured polynomially parameter-dependent approach is proposed to solve robust H_∞ filtering problem, which is realized by carefully selecting the structure of the matrices involved in the products with system matrices. An LMI condition is obtained for the existence of admissible filters, and the filter design is cast into a convex optimization problem, which can be readily solved via standard numerical software. The effectiveness of the proposed design is demonstrated in a numerical example.

Original language	English
Title of host publication	2010 8th World Congress on Intelligent Control and Automation, WCICA 2010
Pages	1741-1746
Number of pages	6
DOIs	https://doi.org/10.1109/WCICA.2010.5554615
State	Published - 2010
Externally published	Yes
Event	2010 8th World Congress on Intelligent Control and Automation, WCICA 2010 - Jinan, China Duration: 7 Jul 2010 → 9 Jul 2010

Publication series

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

Conference

Conference	2010 8th World Congress on Intelligent Control and Automation, WCICA 2010
Country/Territory	China
City	Jinan
Period	7/07/10 → 9/07/10

Keywords

H performance
Linear matrix inequality
Polytopic uncertainty
Robust H filtering

Access to Document

10.1109/WCICA.2010.5554615

Cite this

Zhang, Y., Zhang, R., Hu, C., & Dong, Y. (2010). Polynomially parameter-dependent approach of robust H_∞ filter for polytopic delta operator systems. In 2010 8th World Congress on Intelligent Control and Automation, WCICA 2010 (pp. 1741-1746). Article 5554615 (Proceedings of the World Congress on Intelligent Control and Automation (WCICA)). https://doi.org/10.1109/WCICA.2010.5554615

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title = "Polynomially parameter-dependent approach of robust H∞ filter for polytopic delta operator systems",

abstract = "The problem of robust H∞ filtering for polytopic Delta operator systems is investigated. An enhanced linear matrix inequality (LMI) representation for H∞ performance criterion is presented based on the bounded real lemma by introducing two slack matrices. Upon this criterion, a structured polynomially parameter-dependent approach is proposed to solve robust H∞ filtering problem, which is realized by carefully selecting the structure of the matrices involved in the products with system matrices. An LMI condition is obtained for the existence of admissible filters, and the filter design is cast into a convex optimization problem, which can be readily solved via standard numerical software. The effectiveness of the proposed design is demonstrated in a numerical example.",

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

author = "Ying Zhang and Rui Zhang and Chao Hu and Yongqing Dong",

year = "2010",

doi = "10.1109/WCICA.2010.5554615",

language = "英语",

isbn = "9781424467129",

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note = "2010 8th World Congress on Intelligent Control and Automation, WCICA 2010 ; Conference date: 07-07-2010 Through 09-07-2010",

}

Zhang, Y, Zhang, R, Hu, C & Dong, Y 2010, Polynomially parameter-dependent approach of robust H_∞ filter for polytopic delta operator systems. in 2010 8th World Congress on Intelligent Control and Automation, WCICA 2010., 5554615, Proceedings of the World Congress on Intelligent Control and Automation (WCICA), pp. 1741-1746, 2010 8th World Congress on Intelligent Control and Automation, WCICA 2010, Jinan, China, 7/07/10. https://doi.org/10.1109/WCICA.2010.5554615

Polynomially parameter-dependent approach of robust H_∞ filter for polytopic delta operator systems. / Zhang, Ying; Zhang, Rui; Hu, Chao et al.
2010 8th World Congress on Intelligent Control and Automation, WCICA 2010. 2010. p. 1741-1746 5554615 (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. An enhanced linear matrix inequality (LMI) representation for H∞ performance criterion is presented based on the bounded real lemma by introducing two slack matrices. Upon this criterion, a structured polynomially parameter-dependent approach is proposed to solve robust H∞ filtering problem, which is realized by carefully selecting the structure of the matrices involved in the products with system matrices. An LMI condition is obtained for the existence of admissible filters, and the filter design is cast into a convex optimization problem, which can be readily solved via standard numerical software. The effectiveness of the proposed design is demonstrated in a numerical example.

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