基于相空间重构的制造系统混沌研究  

Exploring Chaos in Manufacturing System Based on Phase Space Reconstruction

作　　者：张小花[1] 陈玮[2] 

机构地区：[1]仲恺农业工程学院自动化学院,广州510225 [2]广东工业大学自动化学院,广州510640

出　　处：《机械科学与技术》2013年第2期309-312,共4页Mechanical Science and Technology for Aerospace Engineering

基　　金：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

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。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 and CAO＇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.

关 键 词：制造系统 相空间重构 混沌 关联维数 最大Lypunove指数 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]