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Robust H∞ Filtering of 2D Roesser Discrete Systems: A Polynomial Approach
Joint Authors
Alvarez, Teresa
Souissi, M.
Tadeo, Fernando
Hmamed, A.
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-14
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
The problem of robust H∞ filtering is investigated for the class of uncertain two-dimensional (2D) discrete systems described by a Roesser state-space model.
The main contribution is a systematic procedure for generating conditions for the existence of a 2D discrete filter such that, for all admissible uncertainties, the error system is asymptotically stable, and the H∞ norm of the transfer function from the noise signal to the estimation error is below a prespecified level.
These conditions are expressed as parameter-dependent linear matrix inequalities.
Using homogeneous polynomially parameter-dependent filters of arbitrary degree on the uncertain parameters, the proposed method extends previous results in the quadratic framework and the linearly parameter-dependent framework, thus reducing its conservatism.
Performance of the proposed method, in comparison with that of existing methods, is illustrated by two examples.
American Psychological Association (APA)
Souissi, M.& Hmamed, A.& Alvarez, Teresa& Tadeo, Fernando. 2012. Robust H∞ Filtering of 2D Roesser Discrete Systems: A Polynomial Approach. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-1029610
Modern Language Association (MLA)
Souissi, M.…[et al.]. Robust H∞ Filtering of 2D Roesser Discrete Systems: A Polynomial Approach. Mathematical Problems in Engineering No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-1029610
American Medical Association (AMA)
Souissi, M.& Hmamed, A.& Alvarez, Teresa& Tadeo, Fernando. Robust H∞ Filtering of 2D Roesser Discrete Systems: A Polynomial Approach. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-1029610
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029610