Title:On Structural Invariants in the Energy Based Control of Port-Hamiltonian Systems with Second-Order HamiltonianAuthor(s):Hubert Rams, Markus SchöberlAbstract:This paper deals with the energy based control of infinite-dimensional port-Hamiltonian systems, by exploiting structural invariants—so-called Casimir functionals—of the closed loop system. We confine ourselves to port-Hamiltonian systems, modeled within a jet-space approach, with one dimensional spatial domain and 2nd-order Hamiltonian. Therefore, the concept of structural invariants is extended from systems with 1st-order Hamiltonian to systems with 2nd-order Hamiltonian. To demonstrate the capability of this closed loop control methodology, a boundary controlled Euler-Bernoulli beam is used. Finally, simulation results conclude the paper.Booktitle:Proceedings of the Amercian Control Conference (ACC) 2017, Seattle, WA, USAPage Reference:page 1139-1144, 6 page(s)Publishing:2017