Partial fraction expansion based frequency weighted balanced singular perturbation approximation model reduction technique with error bounds
In this paper a new frequency weighted partial fraction expansion based model reduction technique is developed based on the partial fraction expansion approach. In order to further reduce the frequency weighted approximation error, singular perturbation approximation is incorporated into the algorit...
| Main Authors: | , , , |
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| Format: | Proceeding Paper |
| Language: | English English |
| Published: |
Elsevier
2016
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/57733/ http://irep.iium.edu.my/57733/7/57733-Partial%20Fraction%20Expansion%20Based.pdf http://irep.iium.edu.my/57733/8/57733-Partial%20Fraction%20Expansion%20Based%20Frequency%20Weighted%20Balanced%20Singular_SCOPUS.pdf |
| _version_ | 1848784989677682688 |
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| author | Kumar, Deepak Haja Mohideen, Ahmad Jazlan Sreeram, Victor Togneri, Roberto |
| author_facet | Kumar, Deepak Haja Mohideen, Ahmad Jazlan Sreeram, Victor Togneri, Roberto |
| author_sort | Kumar, Deepak |
| building | IIUM Repository |
| collection | Online Access |
| description | In this paper a new frequency weighted partial fraction expansion based model reduction technique is developed based on the partial fraction expansion approach. In order to further reduce the frequency weighted approximation error, singular perturbation approximation is incorporated into the algorithm. This technique results in stable reduced order models regardless if single sided or double sided weights are used. Error bounds are also derived for the proposed method. For minimization of the frequency weighted approximation error, free parameters are introduced into the algorithm. |
| first_indexed | 2025-11-14T16:46:01Z |
| format | Proceeding Paper |
| id | iium-57733 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T16:46:01Z |
| publishDate | 2016 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-577332017-10-12T10:21:41Z http://irep.iium.edu.my/57733/ Partial fraction expansion based frequency weighted balanced singular perturbation approximation model reduction technique with error bounds Kumar, Deepak Haja Mohideen, Ahmad Jazlan Sreeram, Victor Togneri, Roberto TJ212 Control engineering In this paper a new frequency weighted partial fraction expansion based model reduction technique is developed based on the partial fraction expansion approach. In order to further reduce the frequency weighted approximation error, singular perturbation approximation is incorporated into the algorithm. This technique results in stable reduced order models regardless if single sided or double sided weights are used. Error bounds are also derived for the proposed method. For minimization of the frequency weighted approximation error, free parameters are introduced into the algorithm. Elsevier 2016 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/57733/7/57733-Partial%20Fraction%20Expansion%20Based.pdf application/pdf en http://irep.iium.edu.my/57733/8/57733-Partial%20Fraction%20Expansion%20Based%20Frequency%20Weighted%20Balanced%20Singular_SCOPUS.pdf Kumar, Deepak and Haja Mohideen, Ahmad Jazlan and Sreeram, Victor and Togneri, Roberto (2016) Partial fraction expansion based frequency weighted balanced singular perturbation approximation model reduction technique with error bounds. In: IFAC Symposium on Systems Structure and Control, 22nd—24th June 2016, Istanbul, Turkey. http://www.sciencedirect.com/science/article/pii/S2405896316307005 10.1016/j.ifacol.2016.07.488 |
| spellingShingle | TJ212 Control engineering Kumar, Deepak Haja Mohideen, Ahmad Jazlan Sreeram, Victor Togneri, Roberto Partial fraction expansion based frequency weighted balanced singular perturbation approximation model reduction technique with error bounds |
| title | Partial fraction expansion based frequency weighted balanced singular perturbation approximation model reduction technique with error bounds |
| title_full | Partial fraction expansion based frequency weighted balanced singular perturbation approximation model reduction technique with error bounds |
| title_fullStr | Partial fraction expansion based frequency weighted balanced singular perturbation approximation model reduction technique with error bounds |
| title_full_unstemmed | Partial fraction expansion based frequency weighted balanced singular perturbation approximation model reduction technique with error bounds |
| title_short | Partial fraction expansion based frequency weighted balanced singular perturbation approximation model reduction technique with error bounds |
| title_sort | partial fraction expansion based frequency weighted balanced singular perturbation approximation model reduction technique with error bounds |
| topic | TJ212 Control engineering |
| url | http://irep.iium.edu.my/57733/ http://irep.iium.edu.my/57733/ http://irep.iium.edu.my/57733/ http://irep.iium.edu.my/57733/7/57733-Partial%20Fraction%20Expansion%20Based.pdf http://irep.iium.edu.my/57733/8/57733-Partial%20Fraction%20Expansion%20Based%20Frequency%20Weighted%20Balanced%20Singular_SCOPUS.pdf |