具有Markov跳变参数的闭环供应链系统切换控制

李庆奎; 李梅; 贾新春

doi:10.16383/j.aas.2015.c140526

具有Markov跳变参数的闭环供应链系统切换控制

doi: 10.16383/j.aas.2015.c140526

1.
山西大学数学科学学院太原 030006

基金项目:

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

详细信息

作者简介:
李梅山西大学数学科学学院硕士研究生. 主要研究方向为网络化供应链系统. E-mail: feiyang 0418@163.com

通讯作者:
李庆奎山西大学数学科学学院副教授.主要研究方向为切换时滞系统, 网络控制系统及供应链系统.本文通信作者.

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出版历程
- 收稿日期: 2014-07-14
- 修回日期: 2015-09-23
- 刊出日期: 2015-12-20

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

1.
School of Mathematical Sciences, Shanxi University, Taiyuan 030006

Funds:

Supported by National Natural Science Foundation of China (61573230, 61374059), Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry (2013-47), Natural Science Foundation of Shanxi Province (2013011035-3), and Fund Program for the Scientific Activities of Selected Returned Overseas Professionals in Shanxi Province (2013)

摘要

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.
- 切换系统 /
- 闭环供应链系统 /
- Markov跳变参数 /
- 鲁棒H∞控制
Abstract: 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.
- Switched systems /
- closed-loop supply chain (CLSC) systems /
- Markovian jumping /
- robust H∞ control

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