Robust ð » âˆž Filtering of 2D Roesser Discrete Systems: A Polynomial Approach

Chakir El-Kasri, Abdelaziz Hmamed, Teresa Alvarez and Fernando Tadeo

Mathematical Problems in Engineering, 2012, vol. 2012, 1-15

Abstract:

The problem of robust ð » âˆž 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 ð » âˆž 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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:521675

DOI: 10.1155/2012/521675

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