Cross gramian based time interval model reduction

This paper presents the development of new Sylvester equations for both continuous and discrete time linear SISO and symmetric MIMO systems in order to obtain the time interval cross gramian matrices which have time interval controllability and observability information contained in a single matrix...

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Main Authors: Haja Mohideen, Ahmad Jazlan, Sreeram, Victor, Togneri, Roberto
Format: Conference or Workshop Item
Language:English
English
Published: Institute of Electrical and Electronics Engineers Inc. 2015
Subjects:
Online Access:http://irep.iium.edu.my/57888/
http://irep.iium.edu.my/57888/
http://irep.iium.edu.my/57888/7/57888__Cross%20Gramian%20Based%20Time%20Interval%20Model%20Reduction_complete.pdf
http://irep.iium.edu.my/57888/8/57888__Cross%20Gramian%20Based%20Time%20Interval%20Model%20Reduction_scopus.pdf
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recordtype eprints
spelling iium-578882018-07-11T06:32:47Z http://irep.iium.edu.my/57888/ Cross gramian based time interval model reduction Haja Mohideen, Ahmad Jazlan Sreeram, Victor Togneri, Roberto TJ Mechanical engineering and machinery TJ212 Control engineering This paper presents the development of new Sylvester equations for both continuous and discrete time linear SISO and symmetric MIMO systems in order to obtain the time interval cross gramian matrices which have time interval controllability and observability information contained in a single matrix. Numerical examples are provided to demonstrate the computational efficiency of the proposed method which requires computing only the time interval cross gramian compared to existing techniques which require the computation of both time interval controllability and observability gramians simultaneously. Institute of Electrical and Electronics Engineers Inc. 2015 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/57888/7/57888__Cross%20Gramian%20Based%20Time%20Interval%20Model%20Reduction_complete.pdf application/pdf en http://irep.iium.edu.my/57888/8/57888__Cross%20Gramian%20Based%20Time%20Interval%20Model%20Reduction_scopus.pdf Haja Mohideen, Ahmad Jazlan and Sreeram, Victor and Togneri, Roberto (2015) Cross gramian based time interval model reduction. In: 5th Australian Control Conference, AUCC 2015, 5-6 November 2015, Australia. http://ieeexplore.ieee.org/document/7361947/
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
English
topic TJ Mechanical engineering and machinery
TJ212 Control engineering
spellingShingle TJ Mechanical engineering and machinery
TJ212 Control engineering
Haja Mohideen, Ahmad Jazlan
Sreeram, Victor
Togneri, Roberto
Cross gramian based time interval model reduction
description This paper presents the development of new Sylvester equations for both continuous and discrete time linear SISO and symmetric MIMO systems in order to obtain the time interval cross gramian matrices which have time interval controllability and observability information contained in a single matrix. Numerical examples are provided to demonstrate the computational efficiency of the proposed method which requires computing only the time interval cross gramian compared to existing techniques which require the computation of both time interval controllability and observability gramians simultaneously.
format Conference or Workshop Item
author Haja Mohideen, Ahmad Jazlan
Sreeram, Victor
Togneri, Roberto
author_facet Haja Mohideen, Ahmad Jazlan
Sreeram, Victor
Togneri, Roberto
author_sort Haja Mohideen, Ahmad Jazlan
title Cross gramian based time interval model reduction
title_short Cross gramian based time interval model reduction
title_full Cross gramian based time interval model reduction
title_fullStr Cross gramian based time interval model reduction
title_full_unstemmed Cross gramian based time interval model reduction
title_sort cross gramian based time interval model reduction
publisher Institute of Electrical and Electronics Engineers Inc.
publishDate 2015
url http://irep.iium.edu.my/57888/
http://irep.iium.edu.my/57888/
http://irep.iium.edu.my/57888/7/57888__Cross%20Gramian%20Based%20Time%20Interval%20Model%20Reduction_complete.pdf
http://irep.iium.edu.my/57888/8/57888__Cross%20Gramian%20Based%20Time%20Interval%20Model%20Reduction_scopus.pdf
first_indexed 2023-09-18T21:21:51Z
last_indexed 2023-09-18T21:21:51Z
_version_ 1777411933933142016