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Robust H_∞ Filtering of 2D Roesser Discrete Systems: A Polynomial Approach
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 admissi...
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| Published in: | Mathematical Problems in Engineering 2012-01, Vol.2012 (2012), p.400-414-323 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
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| cited_by | cdi_FETCH-LOGICAL-a364t-8228e1b2104e9373c022f62de47c1f43ba9375e5ed30cadae1768d16a749bfbf3 |
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| cites | cdi_FETCH-LOGICAL-a364t-8228e1b2104e9373c022f62de47c1f43ba9375e5ed30cadae1768d16a749bfbf3 |
| container_end_page | 414-323 |
| container_issue | 2012 |
| container_start_page | 400 |
| container_title | Mathematical Problems in Engineering |
| container_volume | 2012 |
| creator | Tadeo, Fernando Alvarez, Teresa Hmamed, A. Souissi, M. |
| description | 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. |
| doi_str_mv | 10.1155/2012/521675 |
| format | article |
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| title | Robust H_∞ Filtering of 2D Roesser Discrete Systems: A Polynomial Approach |
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