Singular value decomposition based model order reduction techniques

Ahmad Jazlan Bin Haja Mohideen

    Research output: ThesisDoctoral Thesis

    248 Downloads (Pure)

    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 languageEnglish
    QualificationDoctor of Philosophy
    Awarding Institution
    • The University of Western Australia
    Award date16 Jan 2017
    Publication statusUnpublished - 2016

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