Cover Image

Model reduction based on limited-time interval impulse response Gramians

In this paper, three new Gramians are introduced namely - limited-time interval impulse response Gramians (LTIRG), generalized limited-time Gramians (GLTG) and generalized limited-time impulse response Gramians (GLTIRG). GLTG and GLTIRG are applicable to both unstable systems and also to systems whi...

Full description

Saved in:
Bibliographic Details
Main Authors: Haja Mohideen, Ahmad Jazlan, Kumar, Deepak, Sreeram, Victor
Format: Article
Language:English
English
Published: Wiley-Blackwell 2019
Subjects:
TK452 Electric apparatus and materials. Electric circuits. Electric networks
Online Access:http://irep.iium.edu.my/83427/1/83427_Model%20reduction%20based%20on%20limited-time%20interval%20impulse%20response%20Gramians_ft.pdf
http://irep.iium.edu.my/83427/13/83427_Model%20reduction%20based%20on%20limited-time_Scopus.pdf
http://irep.iium.edu.my/83427/
https://onlinelibrary.wiley.com/doi/abs/10.1002/asjc.2228
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.iium.irep.83427
record_format dspace
spelling my.iium.irep.834272021-06-09T07:02:33Z http://irep.iium.edu.my/83427/ Model reduction based on limited-time interval impulse response Gramians Haja Mohideen, Ahmad Jazlan Kumar, Deepak Sreeram, Victor TK452 Electric apparatus and materials. Electric circuits. Electric networks In this paper, three new Gramians are introduced namely - limited-time interval impulse response Gramians (LTIRG), generalized limited-time Gramians (GLTG) and generalized limited-time impulse response Gramians (GLTIRG). GLTG and GLTIRG are applicable to both unstable systems and also to systems which have eigenvalues of opposite polarities and equal magnitude. The concept of these Gramians is utilized to develop model reduction algorithms for linear time-invariant continuous-time single-input single-output (SISO) systems. In the cases of GLTIRG and GLTG based model reduction, the standard time-limited Gramians are generalized to be applied to unstable systems by transforming the original system into a new system which requires the solution of two Riccati equations. Two numerical examples are included to illustrate the proposed methods. The results are also compared with standard techniques. Wiley-Blackwell 2019-09-10 Article PeerReviewed application/pdf en http://irep.iium.edu.my/83427/1/83427_Model%20reduction%20based%20on%20limited-time%20interval%20impulse%20response%20Gramians_ft.pdf application/pdf en http://irep.iium.edu.my/83427/13/83427_Model%20reduction%20based%20on%20limited-time_Scopus.pdf Haja Mohideen, Ahmad Jazlan and Kumar, Deepak and Sreeram, Victor (2019) Model reduction based on limited-time interval impulse response Gramians. Asian Journal of Control. pp. 1-10. ISSN 1561-8625 E-ISSN 1934-6093 https://onlinelibrary.wiley.com/doi/abs/10.1002/asjc.2228 10.1002/asjc.2228
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
topic TK452 Electric apparatus and materials. Electric circuits. Electric networks
spellingShingle TK452 Electric apparatus and materials. Electric circuits. Electric networks
Haja Mohideen, Ahmad Jazlan
Kumar, Deepak
Sreeram, Victor
Model reduction based on limited-time interval impulse response Gramians
description In this paper, three new Gramians are introduced namely - limited-time interval impulse response Gramians (LTIRG), generalized limited-time Gramians (GLTG) and generalized limited-time impulse response Gramians (GLTIRG). GLTG and GLTIRG are applicable to both unstable systems and also to systems which have eigenvalues of opposite polarities and equal magnitude. The concept of these Gramians is utilized to develop model reduction algorithms for linear time-invariant continuous-time single-input single-output (SISO) systems. In the cases of GLTIRG and GLTG based model reduction, the standard time-limited Gramians are generalized to be applied to unstable systems by transforming the original system into a new system which requires the solution of two Riccati equations. Two numerical examples are included to illustrate the proposed methods. The results are also compared with standard techniques.
format Article
author Haja Mohideen, Ahmad Jazlan
Kumar, Deepak
Sreeram, Victor
author_facet Haja Mohideen, Ahmad Jazlan
Kumar, Deepak
Sreeram, Victor
author_sort Haja Mohideen, Ahmad Jazlan
title Model reduction based on limited-time interval impulse response Gramians
title_short Model reduction based on limited-time interval impulse response Gramians
title_full Model reduction based on limited-time interval impulse response Gramians
title_fullStr Model reduction based on limited-time interval impulse response Gramians
title_full_unstemmed Model reduction based on limited-time interval impulse response Gramians
title_sort model reduction based on limited-time interval impulse response gramians
publisher Wiley-Blackwell
publishDate 2019
url http://irep.iium.edu.my/83427/1/83427_Model%20reduction%20based%20on%20limited-time%20interval%20impulse%20response%20Gramians_ft.pdf
http://irep.iium.edu.my/83427/13/83427_Model%20reduction%20based%20on%20limited-time_Scopus.pdf
http://irep.iium.edu.my/83427/
https://onlinelibrary.wiley.com/doi/abs/10.1002/asjc.2228
_version_ 1702169442820030464
score 13.211869

Similar Items