高速・高精度制御実現のための制御アルゴリズムに関する研究 (第3報)

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書誌事項

タイトル別名
  • A Study on Controlling Algorithm to Realize High-Speed & High-Accuracy Control Systems (3rd Report)
  • 高速・高精度制御実現のための制御アルゴリズムに関する研究(第3報)変数変調デルタオペレーションの最適制御系への適用
  • コウソク コウ セイド セイギョ ジツゲン ノ タメ ノ セイギョ アルゴリズ
  • A Study on Controlling Algorithm to Realize High-Speed ^|^amp; High-Accuracy Control Systems (3rd Report)
  • An Application of Modified Delta Operation with V.M.M. to Optimal Control Systems
  • 変数変調デルタオペレーションの最適制御系への適用

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抄録

In order to establish a delta operator technique in fixed-point arithmetic, the first report proposed a modified delta operator newly and verified its availability for the first-order systems. The second report tried to apply this operator to the nth-order systems. Furthermore, a new error reduction method named Variable Modulation Method (V.M.M.) was proposed. In the present paper, it is aimed to apply V.M.M. to an optimal control system. First, it is shown that the equivalence between a shift model and a delta model, which was proved in the first report by the help of transfer function, can be kept in a state-space equation too. Following this result, the modified delta model based on state-space equation was derived. Next, the design procedure of an optimal control system based on modified delta model with V.M.M. is described generally. Having applied this procedure to the optimal controlling of DC motor, the availability of V.M.M. was made clear for the cases of smaller word length, that could not be realized if the algorithm was represented by the conventional shift or delta operators.

収録刊行物

  • 精密工学会誌

    精密工学会誌 63 (5), 689-693, 1997

    公益社団法人 精密工学会

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