| Issue |
E3S Web of Conf.
Volume 469, 2023
The International Conference on Energy and Green Computing (ICEGC’2023)
|
|
|---|---|---|
| Article Number | 00097 | |
| Number of page(s) | 10 | |
| DOI | https://doi.org/10.1051/e3sconf/202346900097 | |
| Published online | 20 December 2023 | |
H∞ Filtering of 2D Linear FM II Model Delayed Systems
1 Department of Electrical engineering,Universidad de Santiago de Chile, Chile
2 ISAC, USMBA Fez, Morocco
3 Private University of Fez, Morocco
* zoulagh.taha@gmail.com (taha.zoulagh@usach.cl). Taha Zoulagh is supported by “Fondo Nacional de Desarrollo Cientifico y Tecnologico”-Fondecyt, Chile, under grants N:3200854
** Karina A. Barbosa is supported by Dirección de Investigación Científica y Tecnológica (DICYT)-USACH
código 062113AB
The aim of this study is to address the challenge of H∞ filtering for 2-D systems with time delays. We will employ the well-known Fornasini-Marchesini state model with delay to mathematically describe these 2-D systems. Our objective is to develop a full-order filter that not only ensures the asymptotic stability of the expanded system but also maintains H∞ performance. Our approach will rely on Linear Matrix Inequalities (LMIs) to establish the conditions for the filter’s existence and convert the filter design problem into a convex optimization problem. Finally, we conclude with an illustrative example to demonstrate the effectiveness of the proposed filter design.
Key words: H∞ Filtering / Linear Matrix Inequality (LMI) / Slack variables / 2D Fornasini-Marchesini systems / State delay
© The Authors, published by EDP Sciences, 2023
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