An improved parameterized controller reduction technique via new frequency weighted model reduction formulation

In this paper, an improved parameterized controller reduction technique via a new frequency weighted model reduction formulation is developed for the feedback control of MIMO discrete time systems particularly for non-unity feedback control system configurations which have the controller located in...

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Main Authors:	Haja Mohideen, Ahmad Jazlan, Houlis, Pantazis, Sreeram, Victor, Togneri, Roberto
Format:	Article
Language:	English English English
Published:	Wiley-Blackwell 2017
Subjects:	TJ Mechanical engineering and machinery TJ212 Control engineering
Online Access:	http://irep.iium.edu.my/57885/ http://irep.iium.edu.my/57885/ http://irep.iium.edu.my/57885/ http://irep.iium.edu.my/57885/1/57885_An%20Improved%20Parameterized%20Controller_article.pdf http://irep.iium.edu.my/57885/2/57885_An%20Improved%20Parameterized%20Controller_scopus.pdf http://irep.iium.edu.my/57885/13/57885_An%20improved%20parameterized%20controller%20reduction%20technique_WOS.pdf

id	iium-57885
recordtype	eprints
spelling	iium-578852019-08-20T17:41:12Z http://irep.iium.edu.my/57885/ An improved parameterized controller reduction technique via new frequency weighted model reduction formulation Haja Mohideen, Ahmad Jazlan Houlis, Pantazis Sreeram, Victor Togneri, Roberto TJ Mechanical engineering and machinery TJ212 Control engineering In this paper, an improved parameterized controller reduction technique via a new frequency weighted model reduction formulation is developed for the feedback control of MIMO discrete time systems particularly for non-unity feedback control system configurations which have the controller located in the feedback path. New frequency weights which are a function of a free parameter matrix are derived based on a set of equivalent block diagrams and this leads to a generalized double sided frequency weighted model reduction formulation. Solving this generalized double sided frequency weighted model reduction problem for various values of the free parameter results in obtaining controllers which correspond to each value of the free parameter. It is shown that the proposed formulation has a useful characteristic such that selecting a controller which corresponds to a large value of the free parameter results in obtaining an optimal reduced order controller and using this optimal reduced order controller in a closed loop system results in significant reduction in the infinity norm of the approximation error between the original closed loop system and the closed loop system which uses an optimal reduced order controller (when compared to existing frequency weighted model reduction methods. Wiley-Blackwell 2017-11 Article PeerReviewed application/pdf en http://irep.iium.edu.my/57885/1/57885_An%20Improved%20Parameterized%20Controller_article.pdf application/pdf en http://irep.iium.edu.my/57885/2/57885_An%20Improved%20Parameterized%20Controller_scopus.pdf application/pdf en http://irep.iium.edu.my/57885/13/57885_An%20improved%20parameterized%20controller%20reduction%20technique_WOS.pdf Haja Mohideen, Ahmad Jazlan and Houlis, Pantazis and Sreeram, Victor and Togneri, Roberto (2017) An improved parameterized controller reduction technique via new frequency weighted model reduction formulation. Asian Journal of Control, 19 (6). pp. 1920-1930. ISSN 1561-8625 E-ISSN 1934-6093 http://onlinelibrary.wiley.com/doi/10.1002/asjc.1559/full 10.1002/asjc.1559
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English English
topic	TJ Mechanical engineering and machinery TJ212 Control engineering
spellingShingle	TJ Mechanical engineering and machinery TJ212 Control engineering Haja Mohideen, Ahmad Jazlan Houlis, Pantazis Sreeram, Victor Togneri, Roberto An improved parameterized controller reduction technique via new frequency weighted model reduction formulation
description	In this paper, an improved parameterized controller reduction technique via a new frequency weighted model reduction formulation is developed for the feedback control of MIMO discrete time systems particularly for non-unity feedback control system configurations which have the controller located in the feedback path. New frequency weights which are a function of a free parameter matrix are derived based on a set of equivalent block diagrams and this leads to a generalized double sided frequency weighted model reduction formulation. Solving this generalized double sided frequency weighted model reduction problem for various values of the free parameter results in obtaining controllers which correspond to each value of the free parameter. It is shown that the proposed formulation has a useful characteristic such that selecting a controller which corresponds to a large value of the free parameter results in obtaining an optimal reduced order controller and using this optimal reduced order controller in a closed loop system results in significant reduction in the infinity norm of the approximation error between the original closed loop system and the closed loop system which uses an optimal reduced order controller (when compared to existing frequency weighted model reduction methods.
format	Article
author	Haja Mohideen, Ahmad Jazlan Houlis, Pantazis Sreeram, Victor Togneri, Roberto
author_facet	Haja Mohideen, Ahmad Jazlan Houlis, Pantazis Sreeram, Victor Togneri, Roberto
author_sort	Haja Mohideen, Ahmad Jazlan
title	An improved parameterized controller reduction technique via new frequency weighted model reduction formulation
title_short	An improved parameterized controller reduction technique via new frequency weighted model reduction formulation
title_full	An improved parameterized controller reduction technique via new frequency weighted model reduction formulation
title_fullStr	An improved parameterized controller reduction technique via new frequency weighted model reduction formulation
title_full_unstemmed	An improved parameterized controller reduction technique via new frequency weighted model reduction formulation
title_sort	improved parameterized controller reduction technique via new frequency weighted model reduction formulation
publisher	Wiley-Blackwell
publishDate	2017
url	http://irep.iium.edu.my/57885/ http://irep.iium.edu.my/57885/ http://irep.iium.edu.my/57885/ http://irep.iium.edu.my/57885/1/57885_An%20Improved%20Parameterized%20Controller_article.pdf http://irep.iium.edu.my/57885/2/57885_An%20Improved%20Parameterized%20Controller_scopus.pdf http://irep.iium.edu.my/57885/13/57885_An%20improved%20parameterized%20controller%20reduction%20technique_WOS.pdf
first_indexed	2023-09-18T21:21:50Z
last_indexed	2023-09-18T21:21:50Z
_version_	1777411933642686464

An improved parameterized controller reduction technique via new frequency weighted model reduction formulation

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