Structured vector fitting framework for mechanical systems
Abstract
In this paper, we develop a structurepreserving formulation of the datadriven vector fitting algorithm for the case of modally damped mechanical systems. Using the structured poleresidue form of the transfer function of modally damped secondorder systems, we propose two possible structured extensions of the barycentric formula of system transfer functions. Integrating these new forms within the classical vector fitting algorithm leads to the formulation of two new algorithms that allow the computation of modally damped mechanical systems from data in a least squares fashion. Thus, the learned model is guaranteed to have the desired structure. We test the proposed algorithms on two benchmark models.
 Publication:

arXiv eprints
 Pub Date:
 October 2021
 arXiv:
 arXiv:2110.09220
 Bibcode:
 2021arXiv211009220W
 Keywords:

 Mathematics  Numerical Analysis;
 Electrical Engineering and Systems Science  Systems and Control;
 Mathematics  Dynamical Systems;
 Mathematics  Optimization and Control
 EPrint:
 8 pages, 2 figures