A Note on the Cross Gramian for Non-Symmetric Systems
Optimization and Control
2016-08-22 v2 Systems and Control
Abstract
The cross gramian matrix is a tool for model reduction and system identification, but it is only computable for square control systems. For symmetric systems the cross gramian possesses a useful relation to the system's associated Hankel singular values. Yet, many real-life models are neither square nor symmetric. In this work, concepts from decentralized control are used to approximate a cross gramian for non-symmetric and non-square systems. To illustrate this new non-symmetric cross gramian, it is applied in the context of model order reduction.
Keywords
Cite
@article{arxiv.1501.05519,
title = {A Note on the Cross Gramian for Non-Symmetric Systems},
author = {Christian Himpe and Mario Ohlberger},
journal= {arXiv preprint arXiv:1501.05519},
year = {2016}
}