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    ASIA unversity > 資訊學院 > 光電與通訊學系 > 期刊論文 >  Item 310904400/17134


    Please use this identifier to cite or link to this item: http://asiair.asia.edu.tw/ir/handle/310904400/17134


    Title: ANALYSIS AND DESIGN OF THE FWL DIGITAL OBSERVER/CONTROLLER IMPLEMENTATIONS: EIGENVALUE SENSITIVITY APPROACH
    Authors: 游文雄;Yu, Wen-Shyong;柯賢儒;Ko, Hsien-Ju;李正吉;Lee, Cheng-Chi
    Contributors: 光電與通訊學系
    Keywords: Finite word length, Floating point, Roundoff error, Computational error, Pole sensitivity, Phase sensitivity, Small gain theorem
    Date: 2010-09
    Issue Date: 2012-11-26 10:22:23 (UTC+8)
    Abstract: In this paper, a methodology using small-gain theorem and eigenvalue sensitivity for analyzing the stability of the closed-loop digital control system subject to finite
    word length floating point (FWLFP) operations is proposed. The roundoff and computational errors of the observer/controller parameters caused by FWLFP operations are
    expressed in function of mantissa bit number. First, a sufficient stability criterion in
    terms of the mantissa bit number for the closed-loop system is derived based on small
    gain theorem. Then, the magnitude and supplemental angle measures are derived from
    the sensitivities of the closed-loop system eigenvalues with respect to observer/controller
    parameters, respectively, in the sense of mixed matrix-2/Frobenius norms. Therefore, an
    optimal similarity transformation can be obtained from Hermitian solution by considering both the magnitude and supplemental angle measures simultaneously. Based upon the
    optimal similarity transformation as well as the stability criterion, a minimum mantissa
    bit number for implementing observers/controllers in FWLFP digital computers can be
    obtained. The advantages of the proposed methodology are that it can handle the closedloop systems with complex eigenvalues and give an implementable real-valued optimal
    similarity transformation by easily algebraic operations. Finally, detailed numerical design processes and simulation results are performed to illustrate the effectiveness of the
    proposed scheme.
    Relation: International Journal of Innovative Computing Information and Control
    Appears in Collections:[光電與通訊學系] 期刊論文

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