H∞ Filtering of 2D Linear FM II Model Delayed Systems

Autor: Qobbi Hicham, Zoulagh Taha, Barbosa Karina, Boukili Bensalem, Hmamed Abdelaziz, Chaibi Noreddine
Jazyk: English<br />French
Rok vydání: 2023
Předmět:
Zdroj: E3S Web of Conferences, Vol 469, p 00097 (2023)
Druh dokumentu: article
ISSN: 2267-1242
DOI: 10.1051/e3sconf/202346900097
Popis: 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.
Databáze: Directory of Open Access Journals