Structure-Preserving Interpolation for Model Reduction of Parametric Bilinear Systems
Numerical Analysis
2021-07-13 v1 Numerical Analysis
Systems and Control
Systems and Control
Dynamical Systems
Optimization and Control
Abstract
In this paper, we present an interpolation framework for structure-preserving model order reduction of parametric bilinear dynamical systems. We introduce a general setting, covering a broad variety of different structures for parametric bilinear systems, and then provide conditions on projection spaces for the interpolation of structured subsystem transfer functions such that the system structure and parameter dependencies are preserved in the reduced-order model. Two benchmark examples with different parameter dependencies are used to demonstrate the theoretical analysis.
Cite
@article{arxiv.2007.11269,
title = {Structure-Preserving Interpolation for Model Reduction of Parametric Bilinear Systems},
author = {Peter Benner and Serkan Gugercin and Steffen W. R. Werner},
journal= {arXiv preprint arXiv:2007.11269},
year = {2021}
}
Comments
10 pages, 2 figures