Designing 2-D State Observers For Delayed Discrete Systems Using LMIs

Amal Hader, Chakir Elkasri and Mohammed Alfidi
1 Sidi Mohamed Ben Abdellah University, National School Of Applied Sciences, My Abdallah Avenue Km. 5 Imouzzer Road, Fez, Morocco
2 Sidi Mohamed Ben Abdellah University, Polydisciplinary Faculty, Oujda Road, Taza, Morocco
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Abstract

This paper addresses the state observer problem for discrete two-dimensional (2-D) systems with delays described by the Roesser model. The main objective of the design is to ensure asymptotic stability by designing a 2-D observer. It sounds like the paper is proposing a new method for designing a 2-D observer for a given system. The method is based on two key concepts: the Lyapunov function and the linear matrix inequalities (LMIs) formalism. The example is utilized to showcase how the method can be practically applied to a given system and to evaluate the observer's performance.

Keywords: Observer, Stability, Linear Matrix Inequality (LMI), Roesser Model, 2-D discrete systems.

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How to Cite

Amal Hader, Chakir Elkasri and Mohammed Alfidi. (2024). Designing 2-D State Observers For Delayed Discrete Systems Using LMIs. PEEAP Journal, 2(1), 1-10. https://doi.org/10.5281/zenodo.10864691

Copyright: © 2024 Amal Hader, Chakir Elkasri and Mohammed Alfidi et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0).