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Generalized time limited Gramian based model reduction

Kumar, Deepak and Haja Mohideen, Ahmad Jazlan and Sreeram, Victor (2018) Generalized time limited Gramian based model reduction. In: 2017 Australian and New Zealand Control Conference (ANZCC), 17th-20th December 2017, Gold Coast, Australia.

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Abstract

In this article, a generalized time limited Gramian based model reduction method is presented for unstable systems. The proposed approach is also applicable to a system if it has eigenvalues with opposite polarities and equal magnitude. The standard time-limited Gramians are extended for unstable systems by transforming the original system into a new system which involves the solution of two Riccati equations. The proposed approach is also illustrated by a numerical example.

Item Type: Conference or Workshop Item (Plenary Papers)
Additional Information: 7813/65922
Uncontrolled Keywords: Eigenvalues, Gramians, Model reduction, Model reduction method, Original systems, Standard time, Time limited, Unstable system
Subjects: T Technology > TK Electrical engineering. Electronics Nuclear engineering > TK7800 Electronics. Computer engineering. Computer hardware. Photoelectronic devices > TK7885 Computer engineering
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button): Kulliyyah of Engineering > Department of Mechatronics Engineering
Kulliyyah of Engineering
Depositing User: Dr Ahmad Jazlan Haja Mohideen
Date Deposited: 26 Sep 2018 11:10
Last Modified: 26 Sep 2018 11:10
URI: http://irep.iium.edu.my/id/eprint/65922

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