非正規形定常不規則入力をうける最適非線形制御系の構成

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  • A Study on the Statistical Synthesis of Optimum Nonlinear Control Systems Subjected to Non-Gaussian Random Inputs
  • ヒセイキケイ テイジョウ フキソク ニュウリョク オ ウケル サイテキ ヒセンケイ セイギョケイ ノ コウセイ

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抄録

In this paper, a practical synthesizing technique, in the statistical sense, of the optimum nonlinear control system subjected to non-Gaussian random inputs is presented. The technique described here is a method of circumventing difficulties of mathematical treatment. The description begins with the construction of the optimum nonlinear filter under the excitation of non-Gaussian time series. It is analytically shown that the optimum nonlinear filter consists of a nonlinear element of zero-memory type sandwitched between two linear filters. By applying these results to the synthesis of feedback control systems with a random signal in the presense of non-Gaussian random noise, the optimum control system containing a nonlinear element is derived. Detailed descriptions of these synthesizing procedures are illustrated by several examples.

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