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| Bullwhip effect control based on average dwell time method |
| QIU Xiang1, SONG Hai yu2, YU Li1 |
| 1. College of Information Engineering, Zhejiang University of Technology, Hangzhou 310023, China;2. College of Information, Zhejiang University of Finance and Economics, Hangzhou 310018, China |
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Abstract The bullwhip effect control problem was analyzed for the supply chain system. Considering the fact that the decision information for order compensating may be lost or not, the bullwhip effect control problem of the supply chain systems was converted to a stabilization problem of a class of switched systems with two subsystems. A sufficient condition was provided by using the average dwell time method in order to ensure that the supply chain inventory system is exponentially stable. The order compensation controller and the weighted matrix of the inventory fluctuation were designed by solving a set of linear matrix inequalities. An illustrative example was provided to demonstrate the effectiveness of the proposed order compensation control strategy in controlling the bullwhip effect for supply chain systems.
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Published: 29 October 2015
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基于平均驻留时间方法的牛鞭效应稳定化控制
研究供应链库存系统中的牛鞭效应抑制问题.针对实际生产中订单波动补偿决策信息的可获得和不可获得2种情况,把对供应链库存系统中牛鞭效应的抑制转化为一类含有2个子系统的切换系统稳定化控制问题.采用平均驻留时间方法,给出一个充分条件,使所得的供应链库存波动切换系统指数稳定.通过求解一组线性矩阵不等式,给出订单补偿控制增益和库存波动信息权重矩阵的设计方法.通过仿真算例验证了所得的订单补偿控制策略能够有效地抑制供应链库存网络系统中的牛鞭效应.
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