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Stability of Sampled-Data PDE-ODE Systems and Application to Observer Design and Output-Feedback Stabilization

Iasson Karafyllis 1 Tarek Ahmed-Ali 2 Fouad Giri 2 Miroslav Krstic 3 Françoise Lamnabhi-Lagarrigue 4
1 Department of Mathematics
2 ENSICAEN - École Nationale Supérieure d'Ingénieurs de Caen
3 UCSD - Department of Mechanical and Aerospace Engineering [San Diego]
4 L2S - Laboratoire des signaux et systèmes
Abstract : Small-gain stability analysis is developed for a class of sampled-data systems consisting of a parabolic-type PDE and a linear ODE connected in series with a sampler-ZOH block. This stability analysis is shown to be useful in designing sampled-data exponentially-convergent observers and exponentially stabilizing output-feedback controllers for some classes of ODE-PDE cascades. This work generalizes existing results in the literature in various directions. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
Keywords : sampled-data systems ODE-PDE cascades observer design output-feedback control
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https://hal-centralesupelec.archives-ouvertes.fr/hal-02332334
Contributor : Delphine Le Piolet <>
Submitted on : Thursday, October 24, 2019 - 5:09:45 PM
Last modification on : Wednesday, April 8, 2020 - 3:17:35 PM

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SUP_LSS | CENTRALESUPELEC | CNRS | ENSICAEN | L2S | COMUE-NORMANDIE | UNIV-PARIS-SACLAY | SUP_SYSTEMES | TDS-MACS

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Iasson Karafyllis, Tarek Ahmed-Ali, Fouad Giri, Miroslav Krstic, Françoise Lamnabhi-Lagarrigue. Stability of Sampled-Data PDE-ODE Systems and Application to Observer Design and Output-Feedback Stabilization. IFAC-PapersOnLine, Elsevier, 2017, 50 (1), pp.13289-13294. ⟨10.1016/j.ifacol.2017.08.1967⟩. ⟨hal-02332334⟩

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