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arXiv · 1807.05362

Energy-Based Control of Nonlinear Infinite-Dimensional Port-Hamiltonian Systems with Dissipation

Tobias Malzer·Hubert Rams·Markus Schöberl
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Abstract

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.

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Tobias Malzer, Hubert Rams, Markus Schöberl. 2018-07-14. Energy-Based Control of Nonlinear Infinite-Dimensional Port-Hamiltonian Systems with Dissipation. https://doi.org/10.1109/cdc.2018.8619380

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