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.
Type de document :
Article dans une revue
IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2017, 62 (6), pp.3091-3098. 〈10.1109/tac.2017.2676463 〉
Liste complète des métadonnées
https://hal-centralesupelec.archives-ouvertes.fr/hal-01628400
Contributeur : Myriam Baverel <>
Soumis le : vendredi 3 novembre 2017 - 14:02:45
Dernière modification le : jeudi 5 avril 2018 - 12:30:05

Identifiants

Collections

CENTRALESUPELEC | L2S | SUP_LSS | UNIV-PARIS-SACLAY | SUP_SYSTEMES

Citation

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 . IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2017, 62 (6), pp.3091-3098. 〈10.1109/tac.2017.2676463 〉. 〈hal-01628400〉

Exporter

BibTeX TEI DC DCterms EndNote

Partager

Métriques

Consultations de la notice

244

Contact

support.ccsd.cnrs.fr
hal.support@ccsd.cnrs.fr
Logo CCSD