Synthesis of Nonlinear Control Systems with a Deterministic Input in the Presence of a Random Disturbance

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  • 不規則雑音に乱された入力をうける非線形制御系のシンセシス
  • フキソク ザツオン ニ ミダサレタ ニュウリョク オ ウケル ヒセンケイ セイギョケイ ノ シンセシス

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Abstract

The main purpose of this paper is to establish a method of improving the response of a saturating servo-system subjected to a deterministic input in the presence of a random disturbance. To demonstrate this technique, our attention is directed to establish the analytical procedure for the evaluation of the response of nonlinear control systems by the method of statistical approximation. First, an analytical method of calculating the equivalent transfer characteristic of a nonlinear element with a deterministic input contaminated by a random disturbance is shown. Second, a graphical technique for evaluating the response of the closed systems is developed. Two examples are presented, showing how the behaviors of nonlinear control systems may be analysed. From these analytical considerations, it is possible to design the intentionally introduced nonlinear controller to optimize the control performance of a saturating servo-system for various input-magnitudes. Detailed discussion on the synthetical procedure presented here is given by typical examples.

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