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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2017
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my.iium.irep.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 http://onlinelibrary.wiley.com/doi/10.1002/asjc.1559/full 10.1002/asjc.1559 |
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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 |
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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 |
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Wiley-Blackwell |
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2017 |
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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 http://irep.iium.edu.my/57885/ http://onlinelibrary.wiley.com/doi/10.1002/asjc.1559/full |
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13.19449 |