Regularization of port-Hamiltonian descriptor systems
Abstract
We study the regularization problem for port-Hamiltonian descriptor systems by proportional and/or derivative output feedback. Necessary and sufficient conditions are given which guarantee that there exist output feedbacks such that the closed-loop system is regular, has index at most one, and is still port-Hamiltonian with desired rank properties. All results are derived based on condensed forms that may be computed numerically reliably using orthogonal transformations.
Fields of Study & Subjects
Control and Stability of Dynamical Systems
Stability and Control of Uncertain Systems
Matrix Theory and Algorithms
Publication details
- Journal / source
- ETNA - Electronic Transactions on Numerical Analysis
- Volume
- 65
- Pages
- 254–270
- Publication date
- 1 January 2026
- Language
- EN