Generalized Gramian based frequency interval model reduction for unstable systems

Frequency interval controllability and observability gramian matrices are important in order to understand the characteristics of systems which are inherently frequency dependent. Obtaining these frequency interval controllability and observability gramian matrices requires solving a pair of Lyapun...

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Main Authors:	Haja Mohideen, Ahmad Jazlan, Sreeram, Victor, Togneri, Roberto, Minh, Ha Binh
Format:	Conference or Workshop Item
Language:	English English
Published:	IEEE 2016
Subjects:	TK7885 Computer engineering
Online Access:	http://irep.iium.edu.my/57677/ http://irep.iium.edu.my/57677/ http://irep.iium.edu.my/57677/1/57677_Generalized%20gramian.pdf http://irep.iium.edu.my/57677/7/Generalized%20gramian%20based%20frequency%20interval%20model%20reduction%20for%20unstable%20systems.pdf

id	iium-57677
recordtype	eprints
spelling	iium-576772018-01-16T03:09:14Z http://irep.iium.edu.my/57677/ Generalized Gramian based frequency interval model reduction for unstable systems Haja Mohideen, Ahmad Jazlan Sreeram, Victor Togneri, Roberto Minh, Ha Binh TK7885 Computer engineering Frequency interval controllability and observability gramian matrices are important in order to understand the characteristics of systems which are inherently frequency dependent. Obtaining these frequency interval controllability and observability gramian matrices requires solving a pair of Lyapunov equations. However for certain systems these Lyapunov equations are not solvable. In addition the eigenvalues of the product of the frequency interval controllability and observability gramians may also be complex numbers and therefore these gramians are no applicable to used in the context of model reduction. To overcome these issues, generalized frequency interval controllability and observability gramians are introduced in this paper and the applicability of these generalized gramians to be used in model reduction is demonstrated. IEEE 2016-11-03 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/57677/1/57677_Generalized%20gramian.pdf application/pdf en http://irep.iium.edu.my/57677/7/Generalized%20gramian%20based%20frequency%20interval%20model%20reduction%20for%20unstable%20systems.pdf Haja Mohideen, Ahmad Jazlan and Sreeram, Victor and Togneri, Roberto and Minh, Ha Binh (2016) Generalized Gramian based frequency interval model reduction for unstable systems. In: Australian Control Conference 2016, 3rd-4th Nov. 2016, University of Newcastle, Australia. http://ieeexplore.ieee.org/document/7868000/
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English
topic	TK7885 Computer engineering
spellingShingle	TK7885 Computer engineering Haja Mohideen, Ahmad Jazlan Sreeram, Victor Togneri, Roberto Minh, Ha Binh Generalized Gramian based frequency interval model reduction for unstable systems
description	Frequency interval controllability and observability gramian matrices are important in order to understand the characteristics of systems which are inherently frequency dependent. Obtaining these frequency interval controllability and observability gramian matrices requires solving a pair of Lyapunov equations. However for certain systems these Lyapunov equations are not solvable. In addition the eigenvalues of the product of the frequency interval controllability and observability gramians may also be complex numbers and therefore these gramians are no applicable to used in the context of model reduction. To overcome these issues, generalized frequency interval controllability and observability gramians are introduced in this paper and the applicability of these generalized gramians to be used in model reduction is demonstrated.
format	Conference or Workshop Item
author	Haja Mohideen, Ahmad Jazlan Sreeram, Victor Togneri, Roberto Minh, Ha Binh
author_facet	Haja Mohideen, Ahmad Jazlan Sreeram, Victor Togneri, Roberto Minh, Ha Binh
author_sort	Haja Mohideen, Ahmad Jazlan
title	Generalized Gramian based frequency interval model reduction for unstable systems
title_short	Generalized Gramian based frequency interval model reduction for unstable systems
title_full	Generalized Gramian based frequency interval model reduction for unstable systems
title_fullStr	Generalized Gramian based frequency interval model reduction for unstable systems
title_full_unstemmed	Generalized Gramian based frequency interval model reduction for unstable systems
title_sort	generalized gramian based frequency interval model reduction for unstable systems
publisher	IEEE
publishDate	2016
url	http://irep.iium.edu.my/57677/ http://irep.iium.edu.my/57677/ http://irep.iium.edu.my/57677/1/57677_Generalized%20gramian.pdf http://irep.iium.edu.my/57677/7/Generalized%20gramian%20based%20frequency%20interval%20model%20reduction%20for%20unstable%20systems.pdf
first_indexed	2023-09-18T21:21:33Z
last_indexed	2023-09-18T21:21:33Z
_version_	1777411915023122432

Generalized Gramian based frequency interval model reduction for unstable systems

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