Energy-Based Control of Nonlinear Infinite-Dimensional Port-Hamiltonian Systems with Dissipation
Optimization and Control
2021-07-29 v1 Analysis of PDEs
Differential Geometry
Dynamical Systems
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.
Keywords
Cite
@article{arxiv.1807.05362,
title = {Energy-Based Control of Nonlinear Infinite-Dimensional Port-Hamiltonian Systems with Dissipation},
author = {Tobias Malzer and Hubert Rams and Markus Schöberl},
journal= {arXiv preprint arXiv:1807.05362},
year = {2021}
}
Comments
8 pages, extended version of an accepted CDC 2018 paper