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Robust H ∞ filter design for 2D discrete systems in Roesser model

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Abstract

This paper investigates the robust H ∞ filtering problem for uncertain two-dimensional (2D) systems described by the Roesser model. The parameter uncertainties considered in this paper are assumed to be of polytopic type. A new structured polynomially parameter-dependent method is utilized, which is based on homogeneous polynomially parameter-dependent matrices of arbitrary degree. The proposed method includes results in the quadratic framework and the linearly parameter-dependent framework as special cases for zeroth degree and first degree, respectively. A numerical example illustrates the feasibility and advantage of the proposed filter design methods.

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Author information

Authors and Affiliations

  1. Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin, 150001, PRC

    Chun-Yan Gao & Guang-Ren Duan

  2. Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin, 150001, PRC

    Xiang-Yu Meng

Authors
  1. Chun-Yan Gao
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  2. Guang-Ren Duan
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  3. Xiang-Yu Meng
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Corresponding author

Correspondence to Chun-Yan Gao.

Additional information

This work was supported by Major Program of National Natural Science Foundation (No. 60720106002) and Program for Changjiang Scholars and Innovative Research Team in University.

Chun-Yan Gao received her B. Sc. degree in information and computational science from the Shandong University, PRC, in 2006. Currently, she is a graduate in the Department of Control Science and Engineering at Harbin Institute of Technology, PRC.

Her research interests includes robust filtering theory, uncertain systems, multidimensional systems, automatic flight control systems, and active control technology.

Guang-Ren Duan received his B. Sc. degree in applied mathematics from the Northeast Heavy Machinery Institute and his M. Sc. degree in control systems theory in 1986, and the Ph.D. degree from Harbin Institute of Technology, PRC, in 1989. From 1989 to 1991, he was a postdoctoral researcher at Harbin Institute of Technology, PRC, where he became a professor of control systems theory in 1991, and he has been elected Specially Employed Professor at Harbin Institute of Technology sponsored by the Cheung Kong Scholars Program of China since 2000. He visited the University of Hull, UK, the University of Sheffield, UK, from 1996 to 1998, and from 1998 to 2002 worked at the Queen’s University of Belfast, UK. Currently, he is the director of the Center for Control Systems and Guidance Technology at Harbin Institute of Technology, PRC. He has published about 300 refereed journal and conference papers. He is a chartered engineer in the UK, a senior member of IEEE and a fellow of IEE.

His research interests include robust control, eigenstructure assignment, descriptor systems, missile autopilot control, and magnetic bearing control.

Xiang-Yu Meng received his B. Sc. degree in information and computational science from Harbin Engineering University, PRC, in 2006. In 2007 and 2008, he was a research associate at the University of Hong Kong, PRC. Currently, he is a graduate in the Department of Control Science and Engineering at Harbin Institute of Technology, PRC. He has published several refereed journal and conference papers.

His research interests include robust filtering theory, uncertain systems, time-delay systems, multidimensional systems, stochastic systems, networked control systems, and quantum control systems.

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Gao, CY., Duan, GR. & Meng, XY. Robust H ∞ filter design for 2D discrete systems in Roesser model. Int. J. Autom. Comput. 5, 413–418 (2008). https://doi.org/10.1007/s11633-008-0413-4

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  • DOI: https://doi.org/10.1007/s11633-008-0413-4

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