Balanced truncation model reduction for symmetric second order systems -- A passivity-based approach
Numerical Analysis
2020-06-17 v1 Numerical Analysis
Systems and Control
Systems and Control
Optimization and Control
Abstract
We introduce a model reduction approach for linear time-invariant second order systems based on positive real balanced truncation. Our method guarantees asymptotic stability and passivity of the reduced order model as well as the positive definiteness of the mass and stiffness matrices. Moreover, we receive an a priori gap metric error bound. Finally, we show that our method based on positive real balanced truncation preserves the structure of overdamped second order systems.
Cite
@article{arxiv.2006.09170,
title = {Balanced truncation model reduction for symmetric second order systems -- A passivity-based approach},
author = {Ines Dorschky and Timo Reis and Matthias Voigt},
journal= {arXiv preprint arXiv:2006.09170},
year = {2020}
}
Comments
32 pages, 2 figures