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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English English English |
| Published: |
Cogent OA
2016
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| Subjects: | |
| Online Access: | 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 |
| Summary: | 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. |
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