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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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Main Authors: Haja Mohideen, Ahmad Jazlan, Sreeram, Victor, Shaker, Hamid Reza, Togneri, Roberto
Format: Article
Language:English
English
English
Published: Cogent OA 2016
Subjects:
TJ212 Control engineering
Online Access: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
http://irep.iium.edu.my/57732/
http://www.tandfonline.com/doi/abs/10.1080/23311916.2016.1203082
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spelling my.iium.irep.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 REM 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
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
language English
English
English
topic TJ212 Control engineering
spellingShingle TJ212 Control engineering
Haja Mohideen, Ahmad Jazlan
Sreeram, Victor
Shaker, Hamid Reza
Togneri, Roberto
Frequency interval balanced truncation of discrete time bilinear systems
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.
format Article
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
title Frequency interval balanced truncation of discrete time bilinear systems
title_short 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_sort frequency interval balanced truncation of discrete time bilinear systems
publisher Cogent OA
publishDate 2016
url 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
http://irep.iium.edu.my/57732/
http://www.tandfonline.com/doi/abs/10.1080/23311916.2016.1203082
_version_ 1643615209067118592
score 13.211869

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