Finite-frequency model order reduction of linear and bilinear systems via low-rank approximation

QY Song, U Zulfiqar, X Du - Journal of Computational and Applied …, 2025 - Elsevier
In this paper, we first investigate the finite-frequency model order reduction for linear
systems based on low-rank Gramian approximations. An efficient algorithm for computing …

Frequency-weighted and frequency interval Gramian framework-based model reduction using singular value decomposition

V Sharma, D Kumar - IMA Journal of Mathematical Control and …, 2024 - academic.oup.com
It is observed that the reduced-order models (ROMs) by some existing limited Gramians-
based techniques deviate significantly from the high-order model, resulting in a large …

Frequency-limited H Model Order Reduction Based on Relative Error

U Zulfiqar, X Du, Q Song, ZH Xiao… - arXiv preprint arXiv …, 2022 - arxiv.org
Frequency-limited model order reduction aims to approximate a high-order model with a
reduced-order model that maintains high fidelity within a specific frequency range. Beyond …

A New Frequency Confined Gramians-based Model Order Reduction Technique

K Kanchan, D Kumar, V Sreeram - 2024 Australian & New …, 2024 - ieeexplore.ieee.org
Model order reduction (MOR) is an approach that provides a lower-order system for a given
higher-order system. Sometimes, specific frequency restrictions constitute a significant focus …

Singular Perturbation Approximation-Based Modelling Using Frequency-Limited Balanced Gramians

K Kanchan, D Kumar - International Conference on Communication and …, 2023 - Springer
In this chapter, a novel reduced-order modelling technique is presented using balanced
singular perturbation approximation by developing new frequency-limited discrete-time …