Influences of Nonlinearities on the Response Probability Distribution of Control System Subjected to a Random Input

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  • 定常不規則入力をうける自動制御系の応答に対する非線形特性の影響
  • テイジョウ フキソク ニュウリョク オ ウケル ジドウ セイギョケイ ノ オウトウ ニ タイスル ヒセンケイ トクセイ ノ エイキョウ

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Abstract

The principal purpose of this paper is to evaluate how the probability distribution of the response of a nonlinear control system subjected to a Gaussian random signal depends on such nonlinear characteristics in the system as clipping level, gradient and continuity in derivatives of the characteristic. For this purpose, three types of nonlinear characteristics, definite peak clipper (saturated characteristic) relay and smooth limiter, are treated. As we already presented in the earlier paper, the probability distribution of the response becomes non-Gaussian. The same procedure can also be used here in order to evaluate the response probability distribution. The results are shown by the curves, giving the relation between magnitude of response and probability density function or cumulative distribution function. By using these results, the variance of response in the system is calculated and the justification of appling the classical equivalent linearization technique is quantitatively checked.

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