Hankel-Norm Approximation of Large-Scale Descriptor Systems
Optimization and Control
2020-04-22 v2
Abstract
The Hankel-norm approximation is a model reduction method which provides the best approximation in the Hankel semi-norm. In this paper the computation of the optimal Hankel-norm approximation is generalized to the case of linear time-invariant continuous-time descriptor systems. An efficient algorithm is developed by refining the generalized balanced truncation square root method. For a wide practical usage, adaptations of the introduced algorithm towards stable computations and sparse systems are made as well as an approach for a projection-free algorithm. To show the approximation behavior of the introduced method, numerical examples are presented.
Cite
@article{arxiv.1612.06205,
title = {Hankel-Norm Approximation of Large-Scale Descriptor Systems},
author = {Peter Benner and Steffen W. R. Werner},
journal= {arXiv preprint arXiv:1612.06205},
year = {2020}
}
Comments
25 pages, 5 figures