Robust H_∞ Filtering of 2D Roesser Discrete Systems: A Polynomial Approach

• Published in: Mathematical Problems in Engineering 2012-01, Vol.2012 (2012), p.400-414-323
• Main Authors: Tadeo, Fernando, Alvarez, Teresa, Hmamed, A., Souissi, M.
• Format: Article
• Language: English
• ISSN: 1024-123X; 1563-5147
• DOI: 10.1155/2012/521675

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.