Unstable System Approximants via Balancing in view of the Singular Perturbation Approximation

In this article, a simplified yet powerful approach for model-order reduction (MOR) has been presented. The approach may be called a balanced singular perturbation approximation (BSPA) approach applicable to real-world problems. This method is based on the singular value decomposition (SVD) of Chole...

Full description

Saved in:
Bibliographic Details
Published in:Journal of the Institution of Engineers (India). Series B, Electrical Engineering, Electronics and telecommunication engineering, Computer engineering Electrical Engineering, Electronics and telecommunication engineering, Computer engineering, 2023, Vol.104 (1), p.285-296
Main Authors: Suman, Santosh Kumar, Kumar, Awadhesh
Format: Article
Language:English
Subjects:
Algorithms
Approximation
Communications Engineering
Engineering
Literature reviews
Mathematical analysis
Model reduction
Networks
Observability (systems)
Original Contribution
Reduced order models
Singular perturbation
Singular value decomposition
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this article, a simplified yet powerful approach for model-order reduction (MOR) has been presented. The approach may be called a balanced singular perturbation approximation (BSPA) approach applicable to real-world problems. This method is based on the singular value decomposition (SVD) of Cholesky factors of controllability or reachability and observability Gramian. The proposed method is the result of the hybridization of the balanced truncation (BT) method with a singular perturbation approximation (SPA). The steady-state mismatch or DC gain deviation from the original system’s desired gain, which had been a prominent demerit of the BT, has been eliminated. The proposed algorithm, thus obtained, has been applied for the reduced-order model (ROM) of large-scale real-world problems keeping the dynamical behaviour of the approximant almost the same as of the original system. The efficacy of the proposed approach has been justified by addressing the number of unstable systems. The results obtained via it have been compared with a few prominent published works available in the literature review.
ISSN:2250-2106
2250-2114
DOI:10.1007/s40031-022-00841-4