制造信息系统动力学模型及混沌特性分析

摘要

针对制造信息系统的混沌现象难以确定的问题,采用定性和定量相结合的方法进行研究.根据自组织理论在合理假设情况下建立了以三个主要的宏观序参量为参变量的制造信息系统决策层动力学模型,利用迭代方法求出系统演化在相空间的轨线分岔图,找出系统走向混沌的道路和出现混沌时相应参变量状态.企业的初始条件不同,其演化的结果不同,且当生产效率的权重值提高到某一数值时出现了混沌现象.通过搜集企业生产效率数据,应用MATLAB软件基于小数据量方法求出其最大Lyapunov值,验证了制造信息系统的混沌特性.%To solve the problem that chaos of manufacturing information system is hard to determine, qualitative and quantitative method was used. The model of decision-making layer in manufacturing information system was built by three main macro order parameters as control variable and the relations between the states was represented by automaton model. Fork graph which depicted the tracks of the system' s evolution was drawn by the iterated methods, which would find the way to chaos and the states of related variables when being at chaos. The results show the evolution trajectory is different with when the initial condition changed, and the chaos will arise when weight of production efficiency added to some value, collected the locale production datas, and simulated the largest Lyapunov exponents by MATLAB software on the basis of small data sets methods, which proved the system lie in chaos.