具有Markov跳变参数的闭环供应链系统切换控制  

Switching Control of Closed-loop Supply Chain Systems with Markovian Jumping Parameters

作　　者：李庆奎[1] 李梅[1] 贾新春[1] 

机构地区：[1]l山西大学数学科学学院,太原030006

出　　处：《自动化学报》2015年第12期2081-2091,共11页Acta Automatica Sinica

基　　金：国家自然科学基金(61573230;61374059);教育部留学回国人员科研启动基金(2013-47);山西省自然科学基金(2013011035-3);山西省留学回国人员科技活动择优资助项目(2013)资助~~

摘　　要：研究具有Markov跳变参数的闭环供应链(Closed-loop supply chain,CLSC)切换系统建模以及具有抑制牛鞭效应的H∞控制问题.针对再制造过程中的不确定性问题,在考虑库存衰减因素的条件下,根据库存水平的不同状态将系统建模为切换系统,子系统间的切换服从于一个Markov过程.基于输入滞后的控制策略,应用Markov切换思想对系统进行控制器设计与性能分析,在保证闭环供应链系统稳定的情形下有效抑制牛鞭效应.仿真例子说明所得结果的有效性.This paper deals with the problem of H∞control for closed-loop supply chain（CLSC） systems with Markovian jumping parameters. Four subsystems are established in view of the influence of the two kinds of deteriorate rates corresponding to manufacture stock level and recycling stock level, respectively. Then, a switched CLSC system is built with Markovian jumping parameters when considering the different state transmission probabilities which decide the switching rule among the subsystems. With this switching model, a delayed input control strategy is adopted, and sufficient conditions are given such that the stability as well as the H∞performance can be guaranteed for the CLSC system. A numerical example is given to illustrate the proposed methods.

关 键 词：切换系统 闭环供应链系统 Markov跳变参数 鲁棒H∞控制 

分 类 号：F274[经济管理—企业管理] F414[经济管理—国民经济]