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

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Résumé

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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Dates et versions

hal-01544671 , version 1 (21-06-2017)

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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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