Title
Frequency-weighted H-2-optimal model order reduction via oblique projection
Abstract
In projection-based model order reduction, a reduced-order approximation of the original full-order system is obtained by projecting it onto a reduced subspace that contains its dominant characteristics. The problem of frequency-weightedH(2)-optimal model order reduction is to construct a local optimum in terms of theH(2)-norm of the weighted error transfer function. In this paper, a projectionbased model order reduction algorithm is proposed that constructs a reduced-order model, which nearly satisfies the first-order optimality conditions for the frequency-weighted H-2-optimal model order reduction problem. It is shown that as the order of the reduced model is increased, the deviation in the satisfaction of the optimality conditions reduces further. Numerical methods are also discussed that improve the computational efficiency of the proposed algorithm. Four numerical examples are presented to demonstrate the efficacy of the proposed algorithm.
Year
DOI
Venue
2022
10.1080/00207721.2021.1943561
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Keywords
DocType
Volume
H-2-optimal, frequency-weighted, model order reduction, nearly optimal, projection, suboptimal
Journal
53
Issue
ISSN
Citations 
1
0020-7721
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Umair Zulfiqar100.34
Victor Sreeram200.68
Mian Ilyas Ahmad300.68
Xin Du411.71