Stability and robust stability of 2D discrete Fornasini-Marchesini model with multiplicative noise

Elloumi, Marwa; Ghamgui, Mariem; Mehdi, Driss; Chaabane, Mohamed

doi:10.1109/icosc.2017.7958727

Cited by 3 publications

(1 citation statement)

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“…It should be pointed out that we are interested, in this paper, in the H ∞ control of a 2D singular continuous system in the nominal case. Indeed, the study of the robustness of the model against parametric uncertainties could be achieved by considering parameter uncertainties, which can be assumed to be norm-bounded [40], polytopic [28], or described by a linear fractional representation [41].…”

Section: H ∞ Performance Analysismentioning

confidence: 99%

H∞ Control for 2D Singular Continuous Systems

Ghamgui,

Elloumi,

Allouche

et al. 2024

Applied Sciences

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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∞ 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.

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Section: H ∞ Performance Analysismentioning

confidence: 99%