A Study on Control Performance of Predictor-Relay Servo Systems Subjected to a Gaussian Random Input

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  • 正規定常不規則入力をうける予報リレーサーボ系の解析的研究
  • セイキ テイジョウ フキソク ニュウリョク オ ウケル ヨホウ リレーサーボケイ ノ カイセキテキ ケンキュウ

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Abstract

The present problem is to construct the operation of controller generating the control signal which will switch the on-off relay in such a way that the mean square error becomes minimum. First, when the input to the system is a random with Gaussian amplitude probability distribution and the control signal is of some non-linear function of the error and its derivative, the general procedure of analysis for the evaluation of statistical behaviors of error signal is described. Second, the improvement of the control performance by introducing a predictor is proposed. Principal purpose of this paper is to evaluate how the optimum prediction time depends upon such important variables as (a) the value of system time constant and (b) the variance of random input signal. Finally, statistical evaluations of the response of such predictor-relay servo system are carried out and the improvement of the control performance is quantitatively shown.

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