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Adaptive observer for parabolic PDEs with uncertain parameter in the boundary condition
Conference proceeding   Open access

Adaptive observer for parabolic PDEs with uncertain parameter in the boundary condition

Tarek Ahmed-Ali, Fouad Giri, Miroslav Krstic, Laurent Burlion and Francoise Lamnabhi-Lagarrigue
2015 European Control Conference (ECC), pp.1343-1348
07/2015
DOI: https://doi.org/10.1109/ECC.2015.7330725

Abstract

Adaptive systems Boundary conditions Context Mathematical model Observers Parameter estimation
We are considering the problem of state observation for a class of infinite dimensional systems. The latter are modelled by a parabolic PDE and a boundary condition involving an unknown parameter. The problem is dealt with using an adaptive observer that provides online estimates of the system (spatially distributed) state and the unknown parameters. The observer is formally shown to be exponentially convergent under an ad-hoc persistent excitation condition.
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https://doi.org/10.1109/ECC.2015.7330725View
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