Admissibility and robust H∞ controller design for uncertain 2D singular continuous systems with interval time-varying delays

El Hafid Chelliq, Mohammed Alfidi and Zakaria Chalh

International Journal of Systems Science, 2023, vol. 54, issue 6, 1377-1397

Abstract: Admissibility and robust $ H_{\infty } $ H∞ controller design are considered here for uncertain 2-D continuous singular systems with interval time-varying delays and norm-bounded parameter uncertainties. A new delay-dependent admissibility condition is obtained by using an augmented Lyapunov–Krasovskii's functional and then using the Wirtinger inequality combined with an improved reciprocally convex approach. Then, a robust controller is designed in terms of a linear matrix inequality. Numerical examples are proposed to demonstrate the efficiency of the proposed methods.

Date: 2023
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DOI: 10.1080/00207721.2023.2177897

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