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Article Dans Une Revue Automatica Année : 2021

Sampled-data observers for delay systems and hyperbolic PDE–ODE loops

Résumé

This paper studies the problem of designing sampled-data observers and observer-based, sampled-data, output feedback stabilizers for systems with both discrete and distributed, state and output time-delays. The obtained results can be applied to time delay systems of strict-feedback structure, transport Partial Differential Equations (PDEs) with nonlocal terms, and feedback interconnections of Ordinary Differential Equations with a transport PDE. The proposed design approach consists in exploiting any existing observer that features robust exponential convergence of the error when continuous-time output measurements are available. The (continuous-time) observer is then modified, mainly by adding an inter-sample output predictor, to compensate for the effect of data-sampling. Using small-gain analysis, we show that robust exponential stability of the error is preserved, provided the sampling period is not too large. The results are applied to a chemical reactor and to the class of triangular globally Lipschitz delay systems.
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Dates et versions

hal-03493264 , version 1 (21-11-2022)

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Paternité - Pas d'utilisation commerciale

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Tarek Ahmed-Ali, Iasson Karafyllis, Fouad Giri. Sampled-data observers for delay systems and hyperbolic PDE–ODE loops. Automatica, 2021, 123, pp.109349. ⟨10.1016/j.automatica.2020.109349⟩. ⟨hal-03493264⟩
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