Cross gramian based time interval model reduction

Jazlan Bin Haja Mohideen; Victor Sreeram; Roberto Togneri

Cross gramian based time interval model reduction

Jazlan Bin Haja Mohideen, Victor Sreeram, Roberto Togneri

Research output: Chapter in Book/Conference paper › Conference paper › peer-review

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. © 2015 Engineers Australia.

Original language	English
Title of host publication	Australian Control Conference
Place of Publication	USA
Publisher	IEEE, Institute of Electrical and Electronics Engineers
Pages	274-276
Volume	N/A
ISBN (Print)	9781922107695
Publication status	Published - 21 Dec 2015
Event	2015 Australian Control Conference (AUCC 2015) - Griffith University, Gold Coast, Australia Duration: 5 Nov 2015 → 6 Nov 2015 Conference number: 118855

Conference

Conference	2015 Australian Control Conference (AUCC 2015)
Abbreviated title	AUCC 2015
Country/Territory	Australia
City	Gold Coast
Period	5/11/15 → 6/11/15

Cite this

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title = "Cross gramian based time interval model reduction",

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. {\textcopyright} 2015 Engineers Australia.",

author = "{Bin Haja Mohideen}, Jazlan and Victor Sreeram and Roberto Togneri",

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note = "2015 Australian Control Conference (AUCC 2015), AUCC 2015 ; Conference date: 05-11-2015 Through 06-11-2015",

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T1 - Cross gramian based time interval model reduction

AU - Bin Haja Mohideen, Jazlan

AU - Sreeram, Victor

AU - Togneri, Roberto

N1 - Conference code: 118855

PY - 2015/12/21

Y1 - 2015/12/21

N2 - 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. © 2015 Engineers Australia.

AB - 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. © 2015 Engineers Australia.

UR - http://www.aucc.org.au/AUCC2015/

M3 - Conference paper

SN - 9781922107695

VL - N/A

SP - 274

EP - 276

BT - Australian Control Conference

PB - IEEE, Institute of Electrical and Electronics Engineers

CY - USA

T2 - 2015 Australian Control Conference (AUCC 2015)

Y2 - 5 November 2015 through 6 November 2015

ER -

Cross gramian based time interval model reduction

Abstract

Conference

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