Adaptive observer design with heat PDE sensor - CentraleSupélec Access content directly
Journal Articles Automatica Year : 2017

Adaptive observer design with heat PDE sensor

Abstract

The problem of state and parameter estimation is addressed for systems with cascade structure including finite-dimensional dynamics followed in series with infinite-dimensional dynamics. The formers are captured through an ODE that is state- and parameter-affine. The latter, referred to as sensor dynamics, are represented by a diffusion parabolic PDE. Both equations are subject to parameter uncertainty. Furthermore, the connection point between the ODE and the PDE blocs is not accessible to measurements. The aim is to get online estimates of all inaccessible states and unknown parameters of both the ODE and the PDE subsystems. This observation problem is dealt with by combining the backstepping design method and the extended Kalman observer approach. The obtained adaptive observer is shown to be exponentially convergent under an ad-hoc persistent excitation condition.
Fichier principal
Vignette du fichier
TAA2017.pdf (202.72 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-01628396 , version 1 (18-05-2022)

Licence

Attribution - NonCommercial

Identifiers

Cite

Tarek Ahmed-Ali, Fouad Giri, Miroslav Krstic, Laurent Burlion, Françoise Lamnabhi-Lagarrigue. Adaptive observer design with heat PDE sensor. Automatica, 2017, 82 (6), pp.93-100. ⟨10.1016/j.automatica.2017.04.030⟩. ⟨hal-01628396⟩
321 View
56 Download

Altmetric

Share

Gmail Facebook X LinkedIn More