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Improved results on frequency-weighted balanced truncation and error bounds

In this paper, we present some new results on frequency-weighted balanced truncation which is a significant improvement on Lin and Chiu's frequency-weighted balanced truncation technique. The reduced-order models, which are guaranteed to be stable in the case of double-sided weighting, are obta...

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Main Authors: Sreeram, Venkatappa, Sahlan, Shafishuhaza
Format: Article
Published: John Wiley and Sons Ltd. 2011
Subjects:
TK Electrical engineering. Electronics Nuclear engineering
Online Access:http://eprints.utm.my/id/eprint/29148/
http://dx.doi.org/10.1002/rnc.1745
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spelling my.utm.291482019-03-17T03:03:05Z http://eprints.utm.my/id/eprint/29148/ Improved results on frequency-weighted balanced truncation and error bounds Sreeram, Venkatappa Sahlan, Shafishuhaza TK Electrical engineering. Electronics Nuclear engineering In this paper, we present some new results on frequency-weighted balanced truncation which is a significant improvement on Lin and Chiu's frequency-weighted balanced truncation technique. The reduced-order models, which are guaranteed to be stable in the case of double-sided weighting, are obtained by direct truncation. Two sets of simple, elegant and easily calculatable a priori error bounds are also derived. Numerical examples and comparison with other well-known techniques show the effectiveness of the proposed technique. John Wiley and Sons Ltd. 2011-07-25 Article PeerReviewed Sreeram, Venkatappa and Sahlan, Shafishuhaza (2011) Improved results on frequency-weighted balanced truncation and error bounds. International Journal of Robust and Nonlinear Control, 22 (11). pp. 1195-1211. ISSN 1049-8923 http://dx.doi.org/10.1002/rnc.1745 DOI:10.1002/rnc.1745
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic TK Electrical engineering. Electronics Nuclear engineering
spellingShingle TK Electrical engineering. Electronics Nuclear engineering
Sreeram, Venkatappa
Sahlan, Shafishuhaza
Improved results on frequency-weighted balanced truncation and error bounds
description In this paper, we present some new results on frequency-weighted balanced truncation which is a significant improvement on Lin and Chiu's frequency-weighted balanced truncation technique. The reduced-order models, which are guaranteed to be stable in the case of double-sided weighting, are obtained by direct truncation. Two sets of simple, elegant and easily calculatable a priori error bounds are also derived. Numerical examples and comparison with other well-known techniques show the effectiveness of the proposed technique.
format Article
author Sreeram, Venkatappa
Sahlan, Shafishuhaza
author_facet Sreeram, Venkatappa
Sahlan, Shafishuhaza
author_sort Sreeram, Venkatappa
title Improved results on frequency-weighted balanced truncation and error bounds
title_short Improved results on frequency-weighted balanced truncation and error bounds
title_full Improved results on frequency-weighted balanced truncation and error bounds
title_fullStr Improved results on frequency-weighted balanced truncation and error bounds
title_full_unstemmed Improved results on frequency-weighted balanced truncation and error bounds
title_sort improved results on frequency-weighted balanced truncation and error bounds
publisher John Wiley and Sons Ltd.
publishDate 2011
url http://eprints.utm.my/id/eprint/29148/
http://dx.doi.org/10.1002/rnc.1745
_version_ 1643648234960191488
score 13.211869

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