Structure-Preserving Interpolation of Bilinear Control Systems
Numerical Analysis
2021-05-17 v1 Numerical Analysis
Systems and Control
Systems and Control
Dynamical Systems
Optimization and Control
Abstract
In this paper, we extend the structure-preserving interpolatory model reduction framework, originally developed for linear systems, to structured bilinear control systems. Specifically, we give explicit construction formulae for the model reduction bases to satisfy different types of interpolation conditions. First, we establish the analysis for transfer function interpolation for single-input single-output structured bilinear systems. Then, we extend these results to the case of multi-input multi-output structured bilinear systems by matrix interpolation. The effectiveness of our structure-preserving approach is illustrated by means of various numerical examples.
Cite
@article{arxiv.2005.00795,
title = {Structure-Preserving Interpolation of Bilinear Control Systems},
author = {Peter Benner and Serkan Gugercin and Steffen W. R. Werner},
journal= {arXiv preprint arXiv:2005.00795},
year = {2021}
}
Comments
26 pages, 9 figures