Generalized time limited Gramian based model reduction

In this article, a generalized time limited Gramian based model reduction method is presented for unstable systems. The proposed approach is also applicable to a system if it has eigenvalues with opposite polarities and equal magnitude. The standard time-limited Gramians are extended for unstable sy...

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Main Authors:	Kumar, Deepak, Haja Mohideen, Ahmad Jazlan, Sreeram, Victor
Format:	Conference or Workshop Item
Language:	English English
Published:	IEEE 2018
Subjects:	TK7885 Computer engineering
Online Access:	http://irep.iium.edu.my/65922/ http://irep.iium.edu.my/65922/ http://irep.iium.edu.my/65922/ http://irep.iium.edu.my/65922/7/65922%20Generalized%20Time%20Limited%20Gramian%20based%20Model%20Reduction.pdf http://irep.iium.edu.my/65922/8/65922%20Generalized%20Time%20Limited%20Gramian%20based%20Model%20Reduction%20SCOPUS.pdf

id	iium-65922
recordtype	eprints
spelling	iium-659222018-09-26T03:10:30Z http://irep.iium.edu.my/65922/ Generalized time limited Gramian based model reduction Kumar, Deepak Haja Mohideen, Ahmad Jazlan Sreeram, Victor TK7885 Computer engineering In this article, a generalized time limited Gramian based model reduction method is presented for unstable systems. The proposed approach is also applicable to a system if it has eigenvalues with opposite polarities and equal magnitude. The standard time-limited Gramians are extended for unstable systems by transforming the original system into a new system which involves the solution of two Riccati equations. The proposed approach is also illustrated by a numerical example. IEEE 2018-02-22 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/65922/7/65922%20Generalized%20Time%20Limited%20Gramian%20based%20Model%20Reduction.pdf application/pdf en http://irep.iium.edu.my/65922/8/65922%20Generalized%20Time%20Limited%20Gramian%20based%20Model%20Reduction%20SCOPUS.pdf Kumar, Deepak and Haja Mohideen, Ahmad Jazlan and Sreeram, Victor (2018) Generalized time limited Gramian based model reduction. In: 2017 Australian and New Zealand Control Conference (ANZCC), 17th-20th December 2017, Gold Coast, Australia. https://ieeexplore.ieee.org/document/8298482 10.1109/ANZCC.2017.8298482
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 Kumar, Deepak Haja Mohideen, Ahmad Jazlan Sreeram, Victor Generalized time limited Gramian based model reduction
description	In this article, a generalized time limited Gramian based model reduction method is presented for unstable systems. The proposed approach is also applicable to a system if it has eigenvalues with opposite polarities and equal magnitude. The standard time-limited Gramians are extended for unstable systems by transforming the original system into a new system which involves the solution of two Riccati equations. The proposed approach is also illustrated by a numerical example.
format	Conference or Workshop Item
author	Kumar, Deepak Haja Mohideen, Ahmad Jazlan Sreeram, Victor
author_facet	Kumar, Deepak Haja Mohideen, Ahmad Jazlan Sreeram, Victor
author_sort	Kumar, Deepak
title	Generalized time limited Gramian based model reduction
title_short	Generalized time limited Gramian based model reduction
title_full	Generalized time limited Gramian based model reduction
title_fullStr	Generalized time limited Gramian based model reduction
title_full_unstemmed	Generalized time limited Gramian based model reduction
title_sort	generalized time limited gramian based model reduction
publisher	IEEE
publishDate	2018
url	http://irep.iium.edu.my/65922/ http://irep.iium.edu.my/65922/ http://irep.iium.edu.my/65922/ http://irep.iium.edu.my/65922/7/65922%20Generalized%20Time%20Limited%20Gramian%20based%20Model%20Reduction.pdf http://irep.iium.edu.my/65922/8/65922%20Generalized%20Time%20Limited%20Gramian%20based%20Model%20Reduction%20SCOPUS.pdf
first_indexed	2023-09-18T21:33:32Z
last_indexed	2023-09-18T21:33:32Z
_version_	1777412669711581184

Generalized time limited Gramian based model reduction

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