Structure-Preserving Model Order Reduction for Index One Port-Hamiltonian Descriptor Systems
Abstract
We develop optimization-based structure-preserving model order reduction (MOR) methods for port-Hamiltonian (pH) descriptor systems of differentiation index one. Descriptor systems in pH form permit energy-based modeling and intuitive coupling of physical systems across different physical domains, scales, and accuracies. This makes pH models well-suited building-blocks for component-wise modeling of large system networks. In this context, it is often necessary to preserve the pH structure during MOR. We discuss current projection-based and structure-preserving MOR algorithms for pH systems and present a new optimization-based framework for that task. The benefits of our method include a simplified treatment of algebraic constraints and often a higher accuracy of the resulting reduced-order model, which is demonstrated by several numerical examples.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2022
- DOI:
- 10.48550/arXiv.2206.01608
- arXiv:
- arXiv:2206.01608
- Bibcode:
- 2022arXiv220601608S
- Keywords:
-
- Mathematics - Optimization and Control;
- Electrical Engineering and Systems Science - Systems and Control;
- Mathematics - Dynamical Systems
- E-Print:
- 11 pages, 4 figures