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/ 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

id	iium-57732
recordtype	eprints
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
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
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/ 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
first_indexed	2023-09-18T21:21:38Z
last_indexed	2023-09-18T21:21:38Z
_version_	1777411920683335680

Frequency interval balanced truncation of discrete time bilinear systems

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