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 : カオス理論に基づく短期予測法の拡張と出力が未知の場合の予測制御法への応用

概要

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The main objective of this study is an application of a short-term prediction method of time series based on chaos theory to vibration control for mechanical systems. In this paper, a short-term prediction method based on the Takens's theorem was simply developed. Then the method was extended to apply to the wider range. Finally by utilizing the extended prediction method, two predictive control methods were developed for dynamic systems. It was shown by the numerical example using the Henon map that there are the optimal range of the number of data to be used in prediction. Through the numerical examples of control problems, it is seen that the performance of the proposed control method was improved in comparison with conventional feedback control methods and also seen that the introduction of the predictive control observed in the motions of human being became very effective.
社団法人日本機械学会の論文
1998-09-25