Extended balancing of continuous LTI systems: a structure-preserving approach
Systems and Control
2020-01-06 v1 Systems and Control
Optimization and Control
Abstract
In this paper, we treat extended balancing for continuous-time linear time-invariant systems, and we address the problem of structure-preserving model reduction of the subclass of port-Hamiltonian systems. We establish sufficient conditions to ensure that the reduced-order model preserves a port-Hamiltonian structure. Moreover, we show that the use of extended Gramians can be exploited to get a small error bound and, possibly, to preserve a physical interpretation for the reduced-order model.
Cite
@article{arxiv.2001.00651,
title = {Extended balancing of continuous LTI systems: a structure-preserving approach},
author = {Pablo Borja and Jacquelien M. A. Scherpen and Kenji Fujimoto},
journal= {arXiv preprint arXiv:2001.00651},
year = {2020}
}
Comments
32 pages, 13 figures. Submitted to IEEE Transactions on Automatic Control