H Filtering of 2D Linear FM II Model Delayed Systems

Author:

Qobbi Hicham,Zoulagh Taha,Barbosa Karina,Boukili Bensalem,Hmamed Abdelaziz,Chaibi Noreddine

Abstract

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.

Publisher

EDP Sciences

Subject

General Medicine

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