Frequency interval cross gramians for linear and bilinear systems
In many control engineering problems, it is desired to analyze the systems at particular frequency intervals of interest. This paper focuses on the development of frequency interval cross gramians for both linear and bilinear systems. New generalized Sylvester equations for calculating the frequency...
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| Language: | English English English |
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Wiley-Blackwell
2016
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| Online Access: | http://irep.iium.edu.my/57886/ http://irep.iium.edu.my/57886/2/57886_Frequency%20Interval%20Cross_new.pdf http://irep.iium.edu.my/57886/3/57886_Frequency%20Interval%20Cross_SCOPUS.pdf http://irep.iium.edu.my/57886/4/57886_Frequency%20Interval%20Cross_WOS.pdf |
| _version_ | 1848785014601285632 |
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| author | Haja Mohideen, Ahmad Jazlan Sreeram, Victor Shaker, Hamid Reza Togneri, Roberto Minh, Ha Binh |
| author_facet | Haja Mohideen, Ahmad Jazlan Sreeram, Victor Shaker, Hamid Reza Togneri, Roberto Minh, Ha Binh |
| author_sort | Haja Mohideen, Ahmad Jazlan |
| building | IIUM Repository |
| collection | Online Access |
| description | In many control engineering problems, it is desired to analyze the systems at particular frequency intervals of interest. This paper focuses on the development of frequency interval cross gramians for both linear and bilinear systems. New generalized Sylvester equations for calculating the frequency interval cross gramians are derived in order to be used to obtain information regarding controllability and observability within a single matrix. The advantage of the proposed method is that it is computationally more efficient compared to existing gramian-based techniques since only half of the number of equations need to be solved in order to obtain information regarding the controllability and observability of a system compared to existing techniques. Numerical examples are provided to demonstrate the computational efficiency of the proposed method which uses frequency interval cross gramians relative to existing methods. |
| first_indexed | 2025-11-14T16:46:24Z |
| format | Article |
| id | iium-57886 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English English |
| last_indexed | 2025-11-14T16:46:24Z |
| publishDate | 2016 |
| publisher | Wiley-Blackwell |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-578862018-04-27T02:40:00Z http://irep.iium.edu.my/57886/ Frequency interval cross gramians for linear and bilinear systems Haja Mohideen, Ahmad Jazlan Sreeram, Victor Shaker, Hamid Reza Togneri, Roberto Minh, Ha Binh TJ Mechanical engineering and machinery TJ212 Control engineering In many control engineering problems, it is desired to analyze the systems at particular frequency intervals of interest. This paper focuses on the development of frequency interval cross gramians for both linear and bilinear systems. New generalized Sylvester equations for calculating the frequency interval cross gramians are derived in order to be used to obtain information regarding controllability and observability within a single matrix. The advantage of the proposed method is that it is computationally more efficient compared to existing gramian-based techniques since only half of the number of equations need to be solved in order to obtain information regarding the controllability and observability of a system compared to existing techniques. Numerical examples are provided to demonstrate the computational efficiency of the proposed method which uses frequency interval cross gramians relative to existing methods. Wiley-Blackwell 2016-05-30 Article PeerReviewed application/pdf en http://irep.iium.edu.my/57886/2/57886_Frequency%20Interval%20Cross_new.pdf application/pdf en http://irep.iium.edu.my/57886/3/57886_Frequency%20Interval%20Cross_SCOPUS.pdf application/pdf en http://irep.iium.edu.my/57886/4/57886_Frequency%20Interval%20Cross_WOS.pdf Haja Mohideen, Ahmad Jazlan and Sreeram, Victor and Shaker, Hamid Reza and Togneri, Roberto and Minh, Ha Binh (2016) Frequency interval cross gramians for linear and bilinear systems. Asian Journal of Control, 19 (1). pp. 22-34. ISSN 1561-8625 E-ISSN 1934-6093 http://onlinelibrary.wiley.com/doi/10.1002/asjc.1330/full 10.1002/asjc.1330 |
| spellingShingle | TJ Mechanical engineering and machinery TJ212 Control engineering Haja Mohideen, Ahmad Jazlan Sreeram, Victor Shaker, Hamid Reza Togneri, Roberto Minh, Ha Binh Frequency interval cross gramians for linear and bilinear systems |
| title | Frequency interval cross gramians for linear and bilinear systems |
| title_full | Frequency interval cross gramians for linear and bilinear systems |
| title_fullStr | Frequency interval cross gramians for linear and bilinear systems |
| title_full_unstemmed | Frequency interval cross gramians for linear and bilinear systems |
| title_short | Frequency interval cross gramians for linear and bilinear systems |
| title_sort | frequency interval cross gramians for linear and bilinear systems |
| topic | TJ Mechanical engineering and machinery TJ212 Control engineering |
| url | http://irep.iium.edu.my/57886/ http://irep.iium.edu.my/57886/ http://irep.iium.edu.my/57886/ http://irep.iium.edu.my/57886/2/57886_Frequency%20Interval%20Cross_new.pdf http://irep.iium.edu.my/57886/3/57886_Frequency%20Interval%20Cross_SCOPUS.pdf http://irep.iium.edu.my/57886/4/57886_Frequency%20Interval%20Cross_WOS.pdf |