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 MAE - UC San Diego - Department of Mechanical and Aerospace Engineering [Univ California San Diego]
4 L2S - Laboratoire des signaux et systèmes

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: ODE-PDE cascades; observer design; output-feedback control; sampled-data systems

Domains: Engineering Sciences [physics]; Automatic

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, 2017, 50 (1), pp.13289-13294. ⟨10.1016/j.ifacol.2017.08.1967⟩. ⟨hal-02332334⟩