Title:Port-Hamiltonian modelling and energy-based control of the Timoshenko beam - An approach based on structural invariantsAuthor(s):Andreas Siuka, Markus Schöberl, Kurt SchlacherAbstract:This contribution deals with the port-Hamiltonian modelling and energy-based control of infinite-dimensional mechanical systems. Motivated by the physical interpretation offered by the port-controlled Hamiltonian system class in the finite-dimensional case, we analyse an extension of this framework to the infinite-dimensional scenario on the basis of the so-called evolutionary approach which is used for the port- Hamiltonian formulation of flexible beams modelled according to the Timoshenko theory. Furthermore, we adapt the well-known control via structural invariants method with respect to the presented port-Hamiltonian description such that this method is applied to the boundary control of the Timoshenko beam.Journal:Acta MechanicaPublisher:Springer-VerlagISSN:0001-5970Page Reference:page 69-89, 21 page(s)Publishing:11/2011Volume:222Number:1-2