Cross gramian based time interval model reduction
This paper presents the development of new Sylvester equations for both continuous and discrete time linear SISO and symmetric MIMO systems in order to obtain the time interval cross gramian matrices which have time interval controllability and observability information contained in a single matrix...
| Main Authors: | , , |
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| Format: | Proceeding Paper |
| Language: | English English |
| Published: |
Institute of Electrical and Electronics Engineers Inc.
2015
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/57888/ http://irep.iium.edu.my/57888/7/57888__Cross%20Gramian%20Based%20Time%20Interval%20Model%20Reduction_complete.pdf http://irep.iium.edu.my/57888/8/57888__Cross%20Gramian%20Based%20Time%20Interval%20Model%20Reduction_scopus.pdf |
| _version_ | 1848785014843506688 |
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| author | Haja Mohideen, Ahmad Jazlan Sreeram, Victor Togneri, Roberto |
| author_facet | Haja Mohideen, Ahmad Jazlan Sreeram, Victor Togneri, Roberto |
| author_sort | Haja Mohideen, Ahmad Jazlan |
| building | IIUM Repository |
| collection | Online Access |
| description | This paper presents the development of new Sylvester
equations for both continuous and discrete time linear SISO and symmetric MIMO systems in order to obtain the time interval cross gramian matrices which have time interval controllability and observability information contained in a single matrix. Numerical examples are provided to demonstrate the computational efficiency of the proposed method which requires computing only the time interval cross gramian compared to existing techniques which require the computation of both time interval controllability and observability gramians simultaneously. |
| first_indexed | 2025-11-14T16:46:25Z |
| format | Proceeding Paper |
| id | iium-57888 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T16:46:25Z |
| publishDate | 2015 |
| publisher | Institute of Electrical and Electronics Engineers Inc. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-578882018-07-11T06:32:47Z http://irep.iium.edu.my/57888/ Cross gramian based time interval model reduction Haja Mohideen, Ahmad Jazlan Sreeram, Victor Togneri, Roberto TJ Mechanical engineering and machinery TJ212 Control engineering This paper presents the development of new Sylvester equations for both continuous and discrete time linear SISO and symmetric MIMO systems in order to obtain the time interval cross gramian matrices which have time interval controllability and observability information contained in a single matrix. Numerical examples are provided to demonstrate the computational efficiency of the proposed method which requires computing only the time interval cross gramian compared to existing techniques which require the computation of both time interval controllability and observability gramians simultaneously. Institute of Electrical and Electronics Engineers Inc. 2015 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/57888/7/57888__Cross%20Gramian%20Based%20Time%20Interval%20Model%20Reduction_complete.pdf application/pdf en http://irep.iium.edu.my/57888/8/57888__Cross%20Gramian%20Based%20Time%20Interval%20Model%20Reduction_scopus.pdf Haja Mohideen, Ahmad Jazlan and Sreeram, Victor and Togneri, Roberto (2015) Cross gramian based time interval model reduction. In: 5th Australian Control Conference, AUCC 2015, 5-6 November 2015, Australia. http://ieeexplore.ieee.org/document/7361947/ |
| spellingShingle | TJ Mechanical engineering and machinery TJ212 Control engineering Haja Mohideen, Ahmad Jazlan Sreeram, Victor Togneri, Roberto Cross gramian based time interval model reduction |
| title | Cross gramian based time interval model reduction |
| title_full | Cross gramian based time interval model reduction |
| title_fullStr | Cross gramian based time interval model reduction |
| title_full_unstemmed | Cross gramian based time interval model reduction |
| title_short | Cross gramian based time interval model reduction |
| title_sort | cross gramian based time interval model reduction |
| topic | TJ Mechanical engineering and machinery TJ212 Control engineering |
| url | http://irep.iium.edu.my/57888/ http://irep.iium.edu.my/57888/ http://irep.iium.edu.my/57888/7/57888__Cross%20Gramian%20Based%20Time%20Interval%20Model%20Reduction_complete.pdf http://irep.iium.edu.my/57888/8/57888__Cross%20Gramian%20Based%20Time%20Interval%20Model%20Reduction_scopus.pdf |