Generalized time limited Gramian based model reduction
In this article, a generalized time limited Gramian based model reduction method is presented for unstable systems. The proposed approach is also applicable to a system if it has eigenvalues with opposite polarities and equal magnitude. The standard time-limited Gramians are extended for unstable sy...
| Main Authors: | , , |
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| Format: | Proceeding Paper |
| Language: | English English |
| Published: |
IEEE
2018
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/65922/ http://irep.iium.edu.my/65922/7/65922%20Generalized%20Time%20Limited%20Gramian%20based%20Model%20Reduction.pdf http://irep.iium.edu.my/65922/8/65922%20Generalized%20Time%20Limited%20Gramian%20based%20Model%20Reduction%20SCOPUS.pdf |
| _version_ | 1848786476001656832 |
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| author | Kumar, Deepak Haja Mohideen, Ahmad Jazlan Sreeram, Victor |
| author_facet | Kumar, Deepak Haja Mohideen, Ahmad Jazlan Sreeram, Victor |
| author_sort | Kumar, Deepak |
| building | IIUM Repository |
| collection | Online Access |
| description | In this article, a generalized time limited Gramian based model reduction method is presented for unstable systems. The proposed approach is also applicable to a system if it has eigenvalues with opposite polarities and equal magnitude. The standard time-limited Gramians are extended for unstable systems by transforming the original system into a new system which involves the solution of two Riccati equations. The proposed approach is also illustrated by a numerical example. |
| first_indexed | 2025-11-14T17:09:38Z |
| format | Proceeding Paper |
| id | iium-65922 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T17:09:38Z |
| publishDate | 2018 |
| publisher | IEEE |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-659222018-09-26T03:10:30Z http://irep.iium.edu.my/65922/ Generalized time limited Gramian based model reduction Kumar, Deepak Haja Mohideen, Ahmad Jazlan Sreeram, Victor TK7885 Computer engineering In this article, a generalized time limited Gramian based model reduction method is presented for unstable systems. The proposed approach is also applicable to a system if it has eigenvalues with opposite polarities and equal magnitude. The standard time-limited Gramians are extended for unstable systems by transforming the original system into a new system which involves the solution of two Riccati equations. The proposed approach is also illustrated by a numerical example. IEEE 2018-02-22 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/65922/7/65922%20Generalized%20Time%20Limited%20Gramian%20based%20Model%20Reduction.pdf application/pdf en http://irep.iium.edu.my/65922/8/65922%20Generalized%20Time%20Limited%20Gramian%20based%20Model%20Reduction%20SCOPUS.pdf Kumar, Deepak and Haja Mohideen, Ahmad Jazlan and Sreeram, Victor (2018) Generalized time limited Gramian based model reduction. In: 2017 Australian and New Zealand Control Conference (ANZCC), 17th-20th December 2017, Gold Coast, Australia. https://ieeexplore.ieee.org/document/8298482 10.1109/ANZCC.2017.8298482 |
| spellingShingle | TK7885 Computer engineering Kumar, Deepak Haja Mohideen, Ahmad Jazlan Sreeram, Victor Generalized time limited Gramian based model reduction |
| title | Generalized time limited Gramian based model reduction |
| title_full | Generalized time limited Gramian based model reduction |
| title_fullStr | Generalized time limited Gramian based model reduction |
| title_full_unstemmed | Generalized time limited Gramian based model reduction |
| title_short | Generalized time limited Gramian based model reduction |
| title_sort | generalized time limited gramian based model reduction |
| topic | TK7885 Computer engineering |
| url | http://irep.iium.edu.my/65922/ http://irep.iium.edu.my/65922/ http://irep.iium.edu.my/65922/ http://irep.iium.edu.my/65922/7/65922%20Generalized%20Time%20Limited%20Gramian%20based%20Model%20Reduction.pdf http://irep.iium.edu.my/65922/8/65922%20Generalized%20Time%20Limited%20Gramian%20based%20Model%20Reduction%20SCOPUS.pdf |