基于相空间重构的制造系统混沌研究

基金项目:

广东省自然科学基金项目(S2011040002781)

校级博士启动基金项目(G2360291)资助

Exploring Chaos in Manufacturing System Based on Phase Space Reconstruction

1.
School of Automation,Zhongkai University of Agriculture and Engineering,Guangzhou 510225;
2.
School of Automation,Guangdong University of Technology,Guangzhou 510640

摘要: 针对制造企业的生产效率时间序列体现的非线性的确定而又类似随机的特点,提出了基于相空间重构的制造系统的混沌研究方法。利用互信息法和CAO氏方法分别确定最佳延迟时间和最小嵌入维数,利用生产效率时间序列对制造系统相空间重构,通过Grassberger-Procac-cia算法和小数据量方法计算关联维数和最大Lyapunov指数这两个非线性特征量,结果表明制造企业在运行过程中出现混沌现象。
- 制造系统 /
- 相空间重构 /
- 混沌 /
- 关联维数 /
- 最大Lypunove指数
Abstract: For considering the characteristics of nonlinear time series and randomness,the phase space recon-struction method was put forward to study the chaos of a manufacturing system. Mutual information method andCAO's methods were used to determine the best delay time and the minimum number of embedding dimensions.The manufacturing system received phase space reconstruction under the time series of production efficiency.Then the number of correlation dimensions and maximum Lyapunov index were calculated by using Grassberger-Procaccia method and small data method. The calculation results show that chaos occur in the operation of a man-ufacturing system.
- manufacturing system /
- phase space reconstruction /
- chaos /
- number of correlation dimensions /
- maxi-mum Lyapunov index

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