A Limiting Property of the Inverse of Sampled-data Systems on a Finite Time Interval

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  • 有限な時間区間におけるサンプル値逆系の極限的性質
  • ユウゲン ナ ジカン クカン ニ オケル サンプルチ ギャクケイ ノ キョクゲンテキ セイシツ ソウタイ ジスウ 2 ノ バアイ
  • The Case of Relative Degree 2
  • 相対次数2の場合

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Abstract

It is tricky to predict the limiting property of the inverse of sampled-data systems obtained from linear continuous-time systems in a finite-time domain when the sampling period goes to 0. The reason is that, in some cases, all zeros tend to the boundary between the stable and unstable areas when the sampling period goes to 0, while the number of sample points goes to infinity. In this paper, we discuss the limiting property of the case of relative degree 2. It is demonstrated that inverse sampled-data systems converge to inverse continuous-time systems on the finite-time domain independently of the stability of zeros.

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