雑音と定常不規則信号とをうける非線形サーボ系のシンセシスに対する一図式法

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  • On a Method of Improving the Performance of Automatic Control Systems with Random Inputs by Introducing Nonlinear Characteristics
  • ザツオン ト テイジョウ フキソク シンゴウ ト オ ウケル ヒセンケイ サーボケイ ノ シンセシス ニ タイスル イチ ズシキホウ

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In this paper, a theoretical investigation of improving the performance of automatic control systems with random inputs by using nonlinear characteristics is described. If the statistical characteristics of random inputs are known, an optimum nonlinear characteristic can be introduced in order to minimize the mean squared value of the error signal in the system. Proceeding from the analytical procedure derived previously by the authors, a method of obtaining the optimum nonlinear characteristics is shown in detail. It has been applied to the interesting practical cases of automatic control systems for the random inputs with a typical auto-correlation function. That is, the optimum nonlinear characteristic has been obtained for the following two cases : (1) the case of a control system with a Gaussian random disturbance ; (2) the case of a control system with a Gaussian random signal contaminated by random noise. The procedure is also summarized in the final section.

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