混沌振动的自适应预测方法研究

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振动与冲击 ›› 2009, Vol. 28 ›› Issue (1) : 104-108.

论文

混沌振动的自适应预测方法研究

刘树勇,朱石坚,俞翔

作者信息 +

Study on Adaptive Prediction Method of Chaotic Vibration

LIU Shu-yong, ZHU Shi-jian, YU Xiang

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摘要

在混沌时间序列相空间重构的基础上，提出了一种沿轨道自适应预测方法，推导了模型参数的自适应算法，并研究了不同邻域点数、重构嵌入维数对预测结果的影响，仿真研究结果表明在一定的参数条件下，该方法具有良好的预测性能。将该方法用于某型非线性隔振系统振动实验信号的预测，取得了良好的预测效果。

Abstract

Based on the phase space reconstruction of chaotic time series, an adaptive prediction method of chaotic vibration is presented and the adaptive algorithm of model parameters is derived. The effect of the neighborhood size, embedding dimension on the prediction is studied and results show that when the parameters are reasonable, the method can be use to predict chaotic time series efficiently. Finally, this method is applied to predict experimental signal of the X- type nonlinear vibration isolation system successfully.

导出引用

刘树勇;朱石坚;俞翔. 混沌振动的自适应预测方法研究[J]. 振动与冲击, 2009, 28(1): 104-108

LIU Shu-yong;ZHU Shi-jian;YU Xiang. Study on Adaptive Prediction Method of Chaotic Vibration[J]. Journal of Vibration and Shock, 2009, 28(1): 104-108

中图分类号： TN911