Energy-based Control and Observer Design for higher-order infinite-dimensional Port-Hamiltonian Systems
Optimization and Control
2024-03-26 v2 Analysis of PDEs
Differential Geometry
Abstract
In this paper, we present a control-design method based on the energy-Casimir method for infinite-dimensional, boundary-actuated port-Hamiltonian systems with two-dimensional spatial domain and second-order Hamiltonian. The resulting control law depends on distributed system states that cannot be measured, and therefore, we additionally design an infinite-dimensional observer by exploiting the port-Hamiltonian system representation. A Kirchhoff-Love plate serves as an example in order to demonstrate the proposed approaches.
Keywords
Cite
@article{arxiv.2104.09329,
title = {Energy-based Control and Observer Design for higher-order infinite-dimensional Port-Hamiltonian Systems},
author = {Tobias Malzer and Lukas Ecker and Markus Schöberl},
journal= {arXiv preprint arXiv:2104.09329},
year = {2024}
}
Comments
9 pages, 5 figures