IH/I[sub.∞] Control for 2D Singular Continuous Systems

This paper considers the problem of admissibility and admissibilization of 2D singular continuous systems described by the Roesser model. A necessary and sufficient admissibility condition is first proposed for 2D singular continuous systems in terms of a strict Linear Matrix Inequality (LMI). Then,...

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Bibliographic Details
Published in:Applied sciences 2024-05, Vol.14 (10)
Main Authors: Ghamgui, Mariem, Elloumi, Marwa, Allouche, Moez, Chaabane, Mohamed
Format: Article
Language:English
Online Access:Get full text
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Summary:This paper considers the problem of admissibility and admissibilization of 2D singular continuous systems described by the Roesser model. A necessary and sufficient admissibility condition is first proposed for 2D singular continuous systems in terms of a strict Linear Matrix Inequality (LMI). Then, a necessary and sufficient condition is established for the closed-loop system to be admissible (i.e., stable, regular, and impulse-free). Moreover, the stability condition is completed to give a sufficient condition to ensure a specified H [sub.∞] disturbance attenuation level for the state feedback closed loop. To illustrate the effectiveness of the proposed methodology, a numerical example is given to illustrate an admissibilization of a state feedback closed-loop system.
ISSN:2076-3417
2076-3417
DOI:10.3390/app14104225