Singular value decomposition based model order reduction techniques

Ahmad Jazlan Bin Haja Mohideen

Singular value decomposition based model order reduction techniques

Ahmad Jazlan Bin Haja Mohideen

Research output: Thesis › Doctoral Thesis

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Abstract

This thesis investigates the development of new singular value decomposition based model reduction techniques.

Firstly a parameterized double-sided frequency weighted controller reduction technique is developed .

Secondly, frequency interval cross gramians are developed for both linear and bilinear systems.

Thirdly , frequency interval controllability and observability gramians are derived for discrete-time bilinear systems.

Fourthly, time weighted cross gramians are developed and applied to a state space model representing the dynamics of a flat plate solar collector.

Fifthly, generalized frequency interval controllability and observability gramians are introduced.

Finally, a new frequency weighted partial fraction expansion based model reduction technique is developed .

Original language	English
Qualification	Doctor of Philosophy
Awarding Institution	The University of Western Australia
Supervisors/Advisors	Sreeram, Victor, Supervisor Togneri, Roberto, Supervisor
Award date	16 Jan 2017
Publication status	Unpublished - 2016

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THESIS - DOCTOR OF PHILOSOPHY - HAJA MOHIDEEN Ahmad Jazlan Bin - 2016
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@phdthesis{203b3413a15446689d2fcedf5ac0e44e,

title = "Singular value decomposition based model order reduction techniques",

abstract = "This thesis investigates the development of new singular value decomposition based model reduction techniques.Firstly a parameterized double-sided frequency weighted controller reduction technique is developed .Secondly, frequency interval cross gramians are developed for both linear and bilinear systems.Thirdly , frequency interval controllability and observability gramians are derived for discrete-time bilinear systems.Fourthly, time weighted cross gramians are developed and applied to a state space model representing the dynamics of a flat plate solar collector.Fifthly, generalized frequency interval controllability and observability gramians are introduced. Finally, a new frequency weighted partial fraction expansion based model reduction technique is developed .",

keywords = "Model order reduction, Balanced truncation, Bilinear systems, Frequency interval gramians, Finite frequency interval, Cross gramians, Controllability, Observability",

author = "{Haja Mohideen}, {Ahmad Jazlan Bin}",

year = "2016",

language = "English",

school = "The University of Western Australia",

}

TY - BOOK

T1 - Singular value decomposition based model order reduction techniques

AU - Haja Mohideen, Ahmad Jazlan Bin

PY - 2016

Y1 - 2016

N2 - This thesis investigates the development of new singular value decomposition based model reduction techniques.Firstly a parameterized double-sided frequency weighted controller reduction technique is developed .Secondly, frequency interval cross gramians are developed for both linear and bilinear systems.Thirdly , frequency interval controllability and observability gramians are derived for discrete-time bilinear systems.Fourthly, time weighted cross gramians are developed and applied to a state space model representing the dynamics of a flat plate solar collector.Fifthly, generalized frequency interval controllability and observability gramians are introduced. Finally, a new frequency weighted partial fraction expansion based model reduction technique is developed .

AB - This thesis investigates the development of new singular value decomposition based model reduction techniques.Firstly a parameterized double-sided frequency weighted controller reduction technique is developed .Secondly, frequency interval cross gramians are developed for both linear and bilinear systems.Thirdly , frequency interval controllability and observability gramians are derived for discrete-time bilinear systems.Fourthly, time weighted cross gramians are developed and applied to a state space model representing the dynamics of a flat plate solar collector.Fifthly, generalized frequency interval controllability and observability gramians are introduced. Finally, a new frequency weighted partial fraction expansion based model reduction technique is developed .

KW - Model order reduction

KW - Balanced truncation

KW - Bilinear systems

KW - Frequency interval gramians

KW - Finite frequency interval

KW - Cross gramians

KW - Controllability

KW - Observability

M3 - Doctoral Thesis

ER -

Singular value decomposition based model order reduction techniques

Abstract

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