Switching Control of Closed-loop Supply Chain Systems with Markovian Jumping Parameters
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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.
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关键词:
- 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. -
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