Structure Preserving $H_\infty$ Control for Port-Hamiltonian Systems
Optimization and Control
2022-06-20 v1
Abstract
We study control design for linear time-invariant port-Hamiltonian systems. By a modification of the two central algebraic Riccati equations, we ensure that the resulting controller will be port-Hamiltonian. Using these modified equations, we proceed to show that a corresponding balanced truncation approach preserves port-Hamiltonian structure. We illustrate the theoretical findings using numerical examples and observe that the chosen representation of the port-Hamiltonian system can have an influence on the approximation qualities of the reduced order model.
Cite
@article{arxiv.2206.08706,
title = {Structure Preserving $H_\infty$ Control for Port-Hamiltonian Systems},
author = {Tobias Breiten and Attila Karsai},
journal= {arXiv preprint arXiv:2206.08706},
year = {2022}
}