Infinite-dimensional Luenberger-like observers for a rotating body-beam system

The paper proposes Luenberger-like observers for a rotating body-beam system. The latter is described by a partial differential equation and its dynamic is governed a unitary group. The observers proposed in the paper are able to reconstitute the dynamic evolution of the beam profile, by measuring the moment force on the boundary only. Meanwhile we propose a reliable numerical scheme, based on a finite element method, in order to simulate the observation system and the observers. The efficiency of our proposed scheme and the performances of the observers are illustrated with numerical simulation results.