From Time-Domain Data to Low-Dimensional Structured Models
Optimization and Control
2019-02-15 v1
Abstract
We present a framework for constructing a structured realization of a linear time-invariant dynamical system solely from a discrete sampling of an input and output trajectory of the system. We estimate the transfer function of the original model at selected frequencies using a modification of the empirical transfer function estimation that was recently presented in [Peherstorfer, Gugercin, Willcox, SIAM J. Sci. Comput., 39(5):2152-2178, 2017]. Our realization interpolates the transfer function estimates and can be seen as a generalization of the Loewner framework to structured systems. We demonstrate the presented framework by means of a delay example.
Cite
@article{arxiv.1902.05112,
title = {From Time-Domain Data to Low-Dimensional Structured Models},
author = {Elliot Fosong and Philipp Schulze and Benjamin Unger},
journal= {arXiv preprint arXiv:1902.05112},
year = {2019}
}