Robust H∞ filter design for 2DFM model

Xiangyu Meng; Huijun Gao; Tongwen Chen

doi:10.1109/CHICC.2006.4347007

Robust H_∞ filter design for 2DFM model

Xiangyu Meng^*
, Huijun Gao
, Tongwen Chen

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology
University of Alberta

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

Abstract

This paper is concerned with the robust H_∞ filtering problem for uncertain two-dimensional (2-D) systems described by the Fornasini-Marchesini model. The polynomially parameter-dependent idea is first utilized to solve the robust H_∞ filtering problem, with sufficient conditions for existence of the desired H_∞ filters expressed in terms of linear matrix inequalities(LMIs). These conditions are developed based on homogeneous polynomially parameter-dependent matrices of arbitrary degree. As the degree grows, test of increasing precision is obtained providing less conservative filter designs. An example is given to show the effectiveness of the proposed approach.

Original language	English
Title of host publication	Proceedings of the 26th Chinese Control Conference, CCC 2007
Pages	615-619
Number of pages	5
DOIs	https://doi.org/10.1109/CHICC.2006.4347007
State	Published - 2007
Event	26th Chinese Control Conference, CCC 2007 - Zhangjiajie, China Duration: 26 Jul 2007 → 31 Jul 2007

Publication series

Name	Proceedings of the 26th Chinese Control Conference, CCC 2007

Conference

Conference	26th Chinese Control Conference, CCC 2007
Country/Territory	China
City	Zhangjiajie
Period	26/07/07 → 31/07/07

Keywords

2D systems
H filtering
Linear matrix inequality
Robust filtering

Access to Document

10.1109/CHICC.2006.4347007

Cite this

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title = "Robust H∞ filter design for 2DFM model",

abstract = "This paper is concerned with the robust H∞ filtering problem for uncertain two-dimensional (2-D) systems described by the Fornasini-Marchesini model. The polynomially parameter-dependent idea is first utilized to solve the robust H∞ filtering problem, with sufficient conditions for existence of the desired H∞ filters expressed in terms of linear matrix inequalities(LMIs). These conditions are developed based on homogeneous polynomially parameter-dependent matrices of arbitrary degree. As the degree grows, test of increasing precision is obtained providing less conservative filter designs. An example is given to show the effectiveness of the proposed approach.",

keywords = "2D systems, H filtering, Linear matrix inequality, Robust filtering",

author = "Xiangyu Meng and Huijun Gao and Tongwen Chen",

year = "2007",

doi = "10.1109/CHICC.2006.4347007",

language = "英语",

isbn = "7900719229",

series = "Proceedings of the 26th Chinese Control Conference, CCC 2007",

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note = "26th Chinese Control Conference, CCC 2007 ; Conference date: 26-07-2007 Through 31-07-2007",

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T1 - Robust H∞ filter design for 2DFM model

AU - Meng, Xiangyu

AU - Gao, Huijun

AU - Chen, Tongwen

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N2 - This paper is concerned with the robust H∞ filtering problem for uncertain two-dimensional (2-D) systems described by the Fornasini-Marchesini model. The polynomially parameter-dependent idea is first utilized to solve the robust H∞ filtering problem, with sufficient conditions for existence of the desired H∞ filters expressed in terms of linear matrix inequalities(LMIs). These conditions are developed based on homogeneous polynomially parameter-dependent matrices of arbitrary degree. As the degree grows, test of increasing precision is obtained providing less conservative filter designs. An example is given to show the effectiveness of the proposed approach.

AB - This paper is concerned with the robust H∞ filtering problem for uncertain two-dimensional (2-D) systems described by the Fornasini-Marchesini model. The polynomially parameter-dependent idea is first utilized to solve the robust H∞ filtering problem, with sufficient conditions for existence of the desired H∞ filters expressed in terms of linear matrix inequalities(LMIs). These conditions are developed based on homogeneous polynomially parameter-dependent matrices of arbitrary degree. As the degree grows, test of increasing precision is obtained providing less conservative filter designs. An example is given to show the effectiveness of the proposed approach.

KW - 2D systems

KW - H filtering

KW - Linear matrix inequality

KW - Robust filtering

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BT - Proceedings of the 26th Chinese Control Conference, CCC 2007

T2 - 26th Chinese Control Conference, CCC 2007

Y2 - 26 July 2007 through 31 July 2007

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