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- Title
Frequency-weighted and frequency interval Gramian framework-based model reduction using singular value decomposition.
- Authors
Sharma, Vineet; Kumar, Deepak
- Abstract
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 approximation inaccuracy. Therefore, this paper introduces a novel solution for finite-frequency model reduction using new frequency-weighted Gramians by employing balanced truncation. This work provides a novel structure of fictitious input and output matrices, resulting in the proposed continuous-time system Gramians. The suggested strategy provides stable ROMs even when input and output weightings are incorporated into the system. Furthermore, the proposed approach is extended with the frequency-interval Gramians, ensuring stable ROMs. The proposed simulation outcomes are compared with other well-known frequency-weighted and frequency-interval Gramians-based techniques using numerical examples to demonstrate the efficacy of the suggested strategies.
- Subjects
SINGULAR value decomposition; REDUCED-order models
- Publication
IMA Journal of Mathematical Control & Information, 2024, Vol 41, Issue 1, p57
- ISSN
0265-0754
- Publication type
Article
- DOI
10.1093/imamci/dnad036