Frequency interval balanced truncation of discrete time bilinear systems
This paper presents the development of a new model reduction method for discrete-time bilinear systems based on the balanced truncation framework. In many model reduction applications, it is advantageous to analyze the characteristics of the system with emphasis on particular frequency intervals of...
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| Format: | Article |
| Language: | English English English |
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Cogent OA
2016
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| Online Access: | http://irep.iium.edu.my/57732/ http://irep.iium.edu.my/57732/1/Frequency%20interval%20balanced%20truncation%20of%20discrete%20time%20bilinear%20systems-1.pdf http://irep.iium.edu.my/57732/7/57732_Frequency%20interval%20balanced_SCOPUS.pdf http://irep.iium.edu.my/57732/8/57732_Frequency%20interval%20balanced_WOS.pdf |
| _version_ | 1848784989388275712 |
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| author | Haja Mohideen, Ahmad Jazlan Sreeram, Victor Shaker, Hamid Reza Togneri, Roberto |
| author_facet | Haja Mohideen, Ahmad Jazlan Sreeram, Victor Shaker, Hamid Reza Togneri, Roberto |
| author_sort | Haja Mohideen, Ahmad Jazlan |
| building | IIUM Repository |
| collection | Online Access |
| description | This paper presents the development of a new model reduction method for discrete-time bilinear systems based on the balanced truncation framework. In many model reduction applications, it is advantageous to analyze the characteristics of the system with emphasis on particular frequency intervals of interest. In order to analyze the degree of controllability and observability of discrete-time bilinear systems with emphasis on particular frequency intervals of interest, new generalized frequency interval controllability and observability gramians are introduced in
this paper. These gramians are the solution to a pair of new generalized Lyapunov equations. The conditions for solvability of these new generalized Lyapunov equations
are derived and a numerical solution method for solving these generalized Lyapunov equations is presented. Numerical examples which illustrate the usage of the new generalized frequency interval controllability and observability gramians a part of the balanced truncation framework are provided to demonstrate the performance of the proposed method. |
| first_indexed | 2025-11-14T16:46:00Z |
| format | Article |
| id | iium-57732 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English English |
| last_indexed | 2025-11-14T16:46:00Z |
| publishDate | 2016 |
| publisher | Cogent OA |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-577322018-05-05T05:34:12Z http://irep.iium.edu.my/57732/ Frequency interval balanced truncation of discrete time bilinear systems Haja Mohideen, Ahmad Jazlan Sreeram, Victor Shaker, Hamid Reza Togneri, Roberto TJ212 Control engineering This paper presents the development of a new model reduction method for discrete-time bilinear systems based on the balanced truncation framework. In many model reduction applications, it is advantageous to analyze the characteristics of the system with emphasis on particular frequency intervals of interest. In order to analyze the degree of controllability and observability of discrete-time bilinear systems with emphasis on particular frequency intervals of interest, new generalized frequency interval controllability and observability gramians are introduced in this paper. These gramians are the solution to a pair of new generalized Lyapunov equations. The conditions for solvability of these new generalized Lyapunov equations are derived and a numerical solution method for solving these generalized Lyapunov equations is presented. Numerical examples which illustrate the usage of the new generalized frequency interval controllability and observability gramians a part of the balanced truncation framework are provided to demonstrate the performance of the proposed method. Cogent OA 2016-06-20 Article PeerReviewed application/pdf en http://irep.iium.edu.my/57732/1/Frequency%20interval%20balanced%20truncation%20of%20discrete%20time%20bilinear%20systems-1.pdf application/pdf en http://irep.iium.edu.my/57732/7/57732_Frequency%20interval%20balanced_SCOPUS.pdf application/pdf en http://irep.iium.edu.my/57732/8/57732_Frequency%20interval%20balanced_WOS.pdf Haja Mohideen, Ahmad Jazlan and Sreeram, Victor and Shaker, Hamid Reza and Togneri, Roberto (2016) Frequency interval balanced truncation of discrete time bilinear systems. Cogent Engineering, 3 (1). pp. 1203082-1. ISSN 2331-1916 http://www.tandfonline.com/doi/abs/10.1080/23311916.2016.1203082 |
| spellingShingle | TJ212 Control engineering Haja Mohideen, Ahmad Jazlan Sreeram, Victor Shaker, Hamid Reza Togneri, Roberto Frequency interval balanced truncation of discrete time bilinear systems |
| title | Frequency interval balanced truncation of discrete time
bilinear systems |
| title_full | Frequency interval balanced truncation of discrete time
bilinear systems |
| title_fullStr | Frequency interval balanced truncation of discrete time
bilinear systems |
| title_full_unstemmed | Frequency interval balanced truncation of discrete time
bilinear systems |
| title_short | Frequency interval balanced truncation of discrete time
bilinear systems |
| title_sort | frequency interval balanced truncation of discrete time
bilinear systems |
| topic | TJ212 Control engineering |
| url | http://irep.iium.edu.my/57732/ http://irep.iium.edu.my/57732/ http://irep.iium.edu.my/57732/1/Frequency%20interval%20balanced%20truncation%20of%20discrete%20time%20bilinear%20systems-1.pdf http://irep.iium.edu.my/57732/7/57732_Frequency%20interval%20balanced_SCOPUS.pdf http://irep.iium.edu.my/57732/8/57732_Frequency%20interval%20balanced_WOS.pdf |