基于凸多面体切换时滞的多链库存模型优化  

Optimization of Inventory Model for Multi-chain Network based on Polyhedron Switched Method with Time-delay

作　　者：刘春玲[1,2,3] 张玉泉[4] 黎继子[3] 曹晓刚[3] 

机构地区：[1]武汉纺织大学机械工程与自动化学院,湖北武汉430073 [2]武汉大学计算机学院,湖北武汉430072 [3]武汉纺织大学供应链系统研究中心,湖北武汉430073 [4]科技部高技术研究发展中心,北京100862

出　　处：《控制工程》2013年第6期1170-1175,共6页Control Engineering of China

基　　金：国家科技支撑计划项目(2011BAH21B01;2011BAH21B02);国家自然科学基金(61004120;71171152);湖北省教育厅科技项目(D20111606;T201111)

摘　　要：需求及生产的波动导致供应链系统往往存在不确定性。考虑在多供应链复杂系统下,引入凸多面体不确定切换时滞方法来对复杂不确定性系统进行建模求解。在多供应链库存系统模型中,利用Lyapunov理论、凸组合技术和有记忆反馈控制方法,给出了使不确定闭环系统渐近稳定且满足鲁棒H∞性能的一个充分条件;此条件适用于需求不确定性情形下的多供应链时滞切换系统控制求解。最后,通过算例仿真给出了算法的具体求解过程,并对比分析了系统有无切换策略不同的控制结果。仿真计算表明:有切换时滞库存控制系统更符合实际情形,能使系统尽快趋于稳定,牛鞭效应得到较好的抑制,从而提高了供应链系统快速市场响应能力,为扩大市场份额和最大化利润创造了条件。The fluctuation of market demand and production generally leads to uncertainty of supply chain system. Under multichain complex system, convexpolyhedron uncertain switched method with timedelay was used to model the complex inventory control system nf muhisupplychain network. A sutficient condition was explored for ensuring the uncertain switched system asymptotically stable and satisfy H ability by using Lyapunov theory, convexcombining technology and feedback control method with memory. Thus the control problem for multisupplychain switched system with timedelay under uncertain demand could be solved by the proposed methodology. Finally, the detailed solving progress of the arithmetic was given by case simulation, and eontrastively analyzed the different controlling results under the switching policy and nonswitching policy. Simulation computation proves that the switched inventory control system with timedelay could match the actual system, stable the whole system operation and weaken the effect of bullwhip, therefore enhancing the rapid responding ability to market, expanding market share and profit for supply chain system.

关 键 词：切换系统 时滞控制 供应链 凸多面体不确定性 库存优化 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]