Development of an Improved Frequency Limited Model Order Reduction Technique and Error Bound for Discrete-Time Systems

Frequency limited model order reduction algorithm presented by Wang & Zilouchian for discrete-time systems provide unstable reduced-order models and also do not provide a priori error bound formula. Many stability-preserving model order reduction algorithms were presented; however, these methods produce significant approximation errors in the desired frequency interval. An improved algorithm of model order reduction for the discrete-time systems is presented. The proposed technique gives the stable reduced-order model and also provides less approximation error as compared with other algorithms and also provides the formula for the frequency response a priori error bound. Numerical examples provided at the end of the section show the efficacy of the proposed technique.

Keywords

Model order reduction, controllability Gramians, observability Gramians, error bound, balanced truncation

Citation

Radioengineering. 2021 vol. 30, č. 4, s. 729-738. ISSN 1210-2512
https://www.radioeng.cz/fulltexts/2021/21_04_0729_0738.pdf

Document type

Peer-reviewed

Document version

Published version

Language of document

en

Document licence

Creative Commons Attribution 4.0 International license
http://creativecommons.org/licenses/by/4.0/