Cross gramian based time interval model reduction

Haja Mohideen, Ahmad Jazlan and Sreeram, Victor and Togneri, Roberto (2015) Cross gramian based time interval model reduction. In: 5th Australian Control Conference, AUCC 2015, 5-6 November 2015, Australia.

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Abstract

This paper presents the development of new Sylvester equations for both continuous and discrete time linear SISO and symmetric MIMO systems in order to obtain the time interval cross gramian matrices which have time interval controllability and observability information contained in a single matrix. Numerical examples are provided to demonstrate the computational efficiency of the proposed method which requires computing only the time interval cross gramian compared to existing techniques which require the computation of both time interval controllability and observability gramians simultaneously.

Item Type:	Conference or Workshop Item (Lecture)
Additional Information:	7813/57888
Uncontrolled Keywords:	Linear Systems, Cross Gramians, Controllability Gramian, Observability Gramian, Balanced Truncation
Subjects:	T Technology > TJ Mechanical engineering and machinery T Technology > TJ Mechanical engineering and machinery > TJ212 Control engineering
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering
Depositing User:	Dr Ahmad Jazlan Haja Mohideen
Date Deposited:	25 Jan 2018 11:35
Last Modified:	11 Jul 2018 14:32
URI:	http://irep.iium.edu.my/id/eprint/57888

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