Interpolatory Weighted-H2 Model Reduction
Numerical Analysis
2013-09-03 v2 Systems and Control
Dynamical Systems
Optimization and Control
Abstract
This paper introduces an interpolation framework for the weighted-H2 model reduction problem. We obtain a new representation of the weighted-H2 norm of SISO systems that provides new interpolatory first order necessary conditions for an optimal reduced-order model. The H2 norm representation also provides an error expression that motivates a new weighted-H2 model reduction algorithm. Several numerical examples illustrate the effectiveness of the proposed approach.
Keywords
Cite
@article{arxiv.1201.2592,
title = {Interpolatory Weighted-H2 Model Reduction},
author = {Branimir Anic and Christopher A. Beattie and Serkan Gugercin and Athanasios C. Antoulas},
journal= {arXiv preprint arXiv:1201.2592},
year = {2013}
}