Estimating the left boundary condition of coupled 1-D linear hyperbolic PDEs from right boundary sensing

Abstract : In this paper, we develop an adaptive observer for n + 1 coupled first-order 1-D hyperbolic PDEs for estimation of unknown parameters appearing in the left boundary condition using only measurements at the right boundary. Proof of boundedness of the estimated parameters and sufficient conditions for convergence are offered and the result is demonstrated in a simulation.
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https://hal-mines-paristech.archives-ouvertes.fr/hal-01544671
Contributeur : François Chaplais <>
Soumis le : mercredi 21 juin 2017 - 22:53:15
Dernière modification le : lundi 12 novembre 2018 - 11:02:42

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Henrik Anfinsen, Florent Di Meglio, Ole Morten Aamo. Estimating the left boundary condition of coupled 1-D linear hyperbolic PDEs from right boundary sensing. European Control Conference, 2016, Jun 2016, Aalborg, Denmark. pp.2179 - 2184, ⟨10.1109/ECC.2016.7810614⟩. ⟨hal-01544671⟩

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