カオス理論に基づく短期予測法を用いた予測制御に関する研究 : 予測出力値を用いた制御入力決定法

概要

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In this paper, a short-term prediction method using chaos theory for time series is applied to a problem to predict the output values of mechanical systems. The prediction method is based on Takens's theorem and was developed by the authors before. Here we present a method to determine the control forces using the predicted output values and linear feedback theories in discrete time for the n-dimensional system with a single control input and a single disturbance assuming that all state variables are measurable. Numerical and experimental examples for a simple rotor system with whirling are shown to examine the effectiveness of the proposed method. The output prediction problems require higher accuracy of prediction than the input prediction problems. So the examination of parameters which are dominant in getting predicted values with high accuracy is focused and some tendencies of responses occurred by the change of the parameters are also shown.
社団法人日本機械学会の論文
2000-08-25