Exponential Stability Analysis of Sampled-Data ODE–PDE Systems and Application to Observer Design

Tarek Ahmed-Ali; Iasson Karafyllis; Fouad Giri; Miroslav Krstic; Françoise Lamnabhi-Lagarrigue

Exponential Stability Analysis of Sampled-Data ODE–PDE Systems and Application to Observer Design

Tarek Ahmed-Ali Iasson Karafyllis Fouad Giri Miroslav Krstic Françoise Lamnabhi-Lagarrigue ¹

1 L2S - Laboratoire des signaux et systèmes

Abstract : A small-gain approach is presented for analyzing exponential stability of a class of (dynamical) hybrid systems. The systems considered in the paper are composed of finite-dimensional dynamics, represented by a linear ordinary differential equation (ODE), and infinite-dimensional dynamics described by a parabolic partial differential equation (PDE). Exponential stability is established under conditions involving the maximum allowable sampling period (MASP). This new stability result is shown to be useful in the design of sampled-output exponentially convergent observers for linear systems that are described by an ODE-PDE cascade. The new stability result also proves to be useful in designing practical approximate observers involving no PDEs.

Document type :

Journal articles

Domain :

Computer Science [cs] / Automatic Control Engineering

Complete list of metadatas

https://hal-centralesupelec.archives-ouvertes.fr/hal-01628400
Contributor : Myriam Baverel <>
Submitted on : Friday, November 3, 2017 - 2:02:45 PM
Last modification on : Thursday, November 15, 2018 - 2:22:02 PM

Exponential Stability Analysis of Sampled-Data ODE–PDE Systems and Application to Observer Design

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Exponential Stability Analysis of Sampled-Data ODE–PDE Systems and Application to Observer Design

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