H$_2$ Optimal Model Order Reduction over a Finite Time Interval
Systems and Control
2022-01-04 v1 Systems and Control
Optimization and Control
Abstract
For a time-limited version of the H norm defined over a fixed time interval, we obtain a closed form expression of the gradients. After that, we use the gradients to propose a time-limited model order reduction method. The method involves obtaining a reduced model which minimizes the time-limited H norm, formulated as a nonlinear optimization problem. The optimization problem is solved using standard optimization software.
Cite
@article{arxiv.2201.00662,
title = {H$_2$ Optimal Model Order Reduction over a Finite Time Interval},
author = {Kasturi Das and Srinivasan Krishnaswamy and Somanath Majhi},
journal= {arXiv preprint arXiv:2201.00662},
year = {2022}
}