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Frequency interval cross gramians for linear and bilinear systems

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

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Abstract

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.

Item Type: Article (Journal)
Additional Information: 7813/57886
Uncontrolled Keywords: Cross gramians, bilinear systems, finite frequency interval, frequency interval gramians, Sylvester equations, control configuration selection.
Subjects: T Technology > TJ Mechanical engineering and machinery
T Technology > TJ Mechanical engineering and machinery > TJ212 Control engineering
Kulliyyahs/Centres/Divisions/Institutes: Kulliyyah of Engineering
Kulliyyah of Engineering > Department of Mechatronics Engineering
Depositing User: Dr Ahmad Jazlan Haja Mohideen
Date Deposited: 08 Aug 2017 12:35
Last Modified: 27 Apr 2018 10:40
URI: http://irep.iium.edu.my/id/eprint/57886

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