Frequency interval cross gramians for linear and bilinear systems

In many control engineering problems, it is desired to analyze the systems at particular frequency intervals of interest. This paper focuses on the development of frequency interval cross gramians for both linear and bilinear systems. New generalized Sylvester equations for calculating the frequency...

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Main Authors:	Haja Mohideen, Ahmad Jazlan, Sreeram, Victor, Shaker, Hamid Reza, Togneri, Roberto, Minh, Ha Binh
Format:	Article
Language:	English English English
Published:	Wiley-Blackwell 2016
Subjects:	TJ Mechanical engineering and machinery TJ212 Control engineering
Online Access:	http://irep.iium.edu.my/57886/ http://irep.iium.edu.my/57886/ http://irep.iium.edu.my/57886/ http://irep.iium.edu.my/57886/2/57886_Frequency%20Interval%20Cross_new.pdf http://irep.iium.edu.my/57886/3/57886_Frequency%20Interval%20Cross_SCOPUS.pdf http://irep.iium.edu.my/57886/4/57886_Frequency%20Interval%20Cross_WOS.pdf

id	iium-57886
recordtype	eprints
spelling	iium-578862018-04-27T02:40:00Z http://irep.iium.edu.my/57886/ Frequency interval cross gramians for linear and bilinear systems Haja Mohideen, Ahmad Jazlan Sreeram, Victor Shaker, Hamid Reza Togneri, Roberto Minh, Ha Binh TJ Mechanical engineering and machinery TJ212 Control engineering In many control engineering problems, it is desired to analyze the systems at particular frequency intervals of interest. This paper focuses on the development of frequency interval cross gramians for both linear and bilinear systems. New generalized Sylvester equations for calculating the frequency interval cross gramians are derived in order to be used to obtain information regarding controllability and observability within a single matrix. The advantage of the proposed method is that it is computationally more efficient compared to existing gramian-based techniques since only half of the number of equations need to be solved in order to obtain information regarding the controllability and observability of a system compared to existing techniques. Numerical examples are provided to demonstrate the computational efficiency of the proposed method which uses frequency interval cross gramians relative to existing methods. Wiley-Blackwell 2016-05-30 Article PeerReviewed application/pdf en http://irep.iium.edu.my/57886/2/57886_Frequency%20Interval%20Cross_new.pdf application/pdf en http://irep.iium.edu.my/57886/3/57886_Frequency%20Interval%20Cross_SCOPUS.pdf application/pdf en http://irep.iium.edu.my/57886/4/57886_Frequency%20Interval%20Cross_WOS.pdf Haja Mohideen, Ahmad Jazlan and Sreeram, Victor and Shaker, Hamid Reza and Togneri, Roberto and Minh, Ha Binh (2016) Frequency interval cross gramians for linear and bilinear systems. Asian Journal of Control, 19 (1). pp. 22-34. ISSN 1561-8625 http://onlinelibrary.wiley.com/doi/10.1002/asjc.1330/full 10.1002/asjc.1330
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 Sreeram, Victor Shaker, Hamid Reza Togneri, Roberto Minh, Ha Binh Frequency interval cross gramians for linear and bilinear systems
description	In many control engineering problems, it is desired to analyze the systems at particular frequency intervals of interest. This paper focuses on the development of frequency interval cross gramians for both linear and bilinear systems. New generalized Sylvester equations for calculating the frequency interval cross gramians are derived in order to be used to obtain information regarding controllability and observability within a single matrix. The advantage of the proposed method is that it is computationally more efficient compared to existing gramian-based techniques since only half of the number of equations need to be solved in order to obtain information regarding the controllability and observability of a system compared to existing techniques. Numerical examples are provided to demonstrate the computational efficiency of the proposed method which uses frequency interval cross gramians relative to existing methods.
format	Article
author	Haja Mohideen, Ahmad Jazlan Sreeram, Victor Shaker, Hamid Reza Togneri, Roberto Minh, Ha Binh
author_facet	Haja Mohideen, Ahmad Jazlan Sreeram, Victor Shaker, Hamid Reza Togneri, Roberto Minh, Ha Binh
author_sort	Haja Mohideen, Ahmad Jazlan
title	Frequency interval cross gramians for linear and bilinear systems
title_short	Frequency interval cross gramians for linear and bilinear systems
title_full	Frequency interval cross gramians for linear and bilinear systems
title_fullStr	Frequency interval cross gramians for linear and bilinear systems
title_full_unstemmed	Frequency interval cross gramians for linear and bilinear systems
title_sort	frequency interval cross gramians for linear and bilinear systems
publisher	Wiley-Blackwell
publishDate	2016
url	http://irep.iium.edu.my/57886/ http://irep.iium.edu.my/57886/ http://irep.iium.edu.my/57886/ http://irep.iium.edu.my/57886/2/57886_Frequency%20Interval%20Cross_new.pdf http://irep.iium.edu.my/57886/3/57886_Frequency%20Interval%20Cross_SCOPUS.pdf http://irep.iium.edu.my/57886/4/57886_Frequency%20Interval%20Cross_WOS.pdf
first_indexed	2018-09-07T07:43:29Z
last_indexed	2018-09-07T07:43:29Z
_version_	1610933819931623424

Frequency interval cross gramians for linear and bilinear systems

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