Sampling period design for digital servomechanism with oscillatory element. (1st report). A design method for optimal sampling period.

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  • 二次振動要素を含むディジタルサーボ系のサンプリング周期の設計　（第１報）　最適サンプリング周期の設計法
  • 2ジ シンドウ ヨウソ オ フクム ディジタル サーボケイ ノ サンプリング
  • A Design Method for Optimal Sampling Period
  • 最適サンプリング周期の設計法

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This paper deals with a digital position servomechanism with one-sample delay including a second-order oscillatory element for providing design criteria of its sampling period. At first, all of parameters in the servomechanism are normalized by using a natural angular frequency of the element, then a relation between a sampling period and a critical control gain with respect to a damping factor of the element is analyzed. As the results of analysis, the design criteria are characterized by the damping factor ζ into two cases. In case of ζ>0.2, the shorter sampling period is desired for its stability as usual discussions. However, in case of ζ<0.2, an unique result is obtained that a nonzero optimal sampling period exists, i. e. a normalized sampling period should be equal to 1.7 for stabilizing the servomechanism. Finally, the results of the analysis are verified by some experiments.

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