むだ時間および高階非線形系の漸近法による解析

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  • Asymptotic Analysis of Nonlinear Control Systems with Dead Time and of Higher Order Nonlinear Systems
  • ムダジカン オヨビ コウカイ ヒセンケイケイ ノ ゼンキン ホウ ニ ヨル カイセキ

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Although the analysis and the synthesis of nonlinear control systems have been widely attacked by the phase plane method and the describing function method, both of them have their own limited applicability. The various analytical approaches for solving the time behavior of the nonlinear systems have been studied in the field of nonlinear oscillation theory. Among them the asymptotic method is a most general and effective one, which has been only applied to the second order system. This paper intends to apply this approach to the gain saturated control system with dead time and the one of third order lag. The results show this approach is practically acceptable in such control systems discussed here, with some admissible errors depending on certain conditions. The paper also gives the stability limit, limit cycle and the transient response of nonlinear systems.

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