Title:Energy-Based Control of Nonlinear Infinite-Dimensional Port-Hamiltonian Systems with DissipationAuthor(s):Tobias Malzer, Hubert Rams, Markus SchöberlAbstract:In this paper, we consider nonlinear PDEs in a port-Hamiltonian setting based on an underlying jet-bundle structure. We restrict ourselves to systems with 1-dimensional spatial domain and 2nd-order Hamiltonian including certain dissipation models that can be incorporated in the port- Hamiltonian framework by means of appropriate differential operators. For this system class, energy-based control by means of Casimir functionals as well as energy balancing is analysed and demonstrated using a nonlinear Euler-Bernoulli beam.Booktitle:Proceedings of the 57th IEEE Conference on Decision and Control (CDC) 2018Page Reference:page 3746-3751, 6 page(s)Publishing:12/2018