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

Henrik Anfinsen (1) , Florent Di Meglio (2) , Ole Morten Aamo (1)

1 ITK NTNU - Department of Engineering Cybernetics [Trondheim]
2 CAS - Centre Automatique et Systèmes

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.

Domaines: Sciences de l'ingénieur [physics]; Automatique / Robotique

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⟩