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    ASIA unversity > 資訊學院 > 光電與通訊學系 > 期刊論文 >  Item 310904400/17133

    Please use this identifier to cite or link to this item: http://asiair.asia.edu.tw/ir/handle/310904400/17133

    Title: Improved eigenvalue sensitivity for finite-precision digital controller realisations via orthogonal Hermitian transform
    Authors: 游文雄;Yu, Wen-Shyong;柯賢儒;Ko, Hsien-Ju
    Contributors: 光電與通訊學系
    Date: 2003-07
    Issue Date: 2012-11-26 10:22:23 (UTC+8)
    Abstract: "An improved eigenvalue sensitivity is presented for digital controller realisations via the
    orthogonal Hermitian transform, subject to finite word length (FWL) effects. This approach can
    preserve the stability of the closed-loop system when the designed stabilising digital controllers are
    actually implemented with FWL by using the mode of fixed-point arithmetic. A performance index
    defined by eigenvalue sensitivity of the closed-loop system is evaluated by the mixed matrix-2/
    Frobenius norms, so that the eigenvalues of the closed-loop system, from infinite precision after
    using an FWL implemented digital controller, become limited precision, the influence suffered is
    minimal. Then, the optimal similarity transformation for the controller is obtained via the
    orthogonal Hermitian transform. Thus, a minimum bit number used for implementing the
    stabilising digital controllers can be obtained from the performance index and the optimal similarity
    transformation under certain stability criteria. The main contributions are that this approach
    provides an analytical closed-form solution for the optimal transformation and leads to the
    implementation of the stabilising controllers with a lower bit number when using this optimal one.
    Finally, a numerical example is used to illustrate the effectiveness of the proposed scheme."
    Appears in Collections:[光電與通訊學系] 期刊論文

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