部分的ループ伝達関数回復手法による離散時間非最小位相系に対する積分型サーボ系の設計 A Design of Discrete-Time Integral Controllers for Non-Minimum Phase Plants Using Partial LTR Technique

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Application of the partial LTR (Loop Transfer Recovery) technique to design integral controllers for discrete-time non-minimum phase plants is discussed. We focus our attention to the feedback property at the plant input side assuming that unit step computation delay exists in a controller. First, based on the all-pass/minimum phase decomposition of the plant transfer function matrix, we construct the minimum phase state feedback (MSF) integral controller which feeds back the minimum phase state of a plant. For the output feedback case, we construct the minimum phase estimate feedback (MEF) integral controller by replacing the minimum phase state in the MSF integral controller by its estimate generated by the prediction type Kalman filter. We show that the feedback property achieved by the MEF integral controller approaches that of the MSF integral controller as the intensity of a fictitious disturbance inserted between the minimum phase and the all-pass parts tends to infinity. For the performance index consisting of the quadratic forms of the plant output and input, the feedback property achieved by enforcing the conventional LTR technique coincides with that achieved by the partial LTR technique. This fact clarifies the system theoretic significance of the enforcement of the conventional LTR technique. It should be noted that this fact does not make the partial LTR technique obsolete because it provides more design freedom than the conventional technique. A numerical example making use of the freedom is presented.

収録刊行物

  • 計測自動制御学会論文集  

    計測自動制御学会論文集 31(7), 844-852, 1995-07 

    The Society of Instrument and Control Engineers

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各種コード

  • NII論文ID(NAID)
    10002484642
  • NII書誌ID(NCID)
    AN00072392
  • 本文言語コード
    JPN
  • 資料種別
    ART
  • ISSN
    04534654
  • NDL 記事登録ID
    3621329
  • NDL 刊行物分類
    M045(制御工学)
  • NDL 雑誌分類
    ZM11(科学技術--科学技術一般--制御工学)
  • NDL 請求記号
    Z14-482
  • データ提供元
    CJP書誌  NDL  J-STAGE 
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