一类基于库存切换的供应链模型的鲁棒H_(∞)控制

Robust H_(∞) control of a supply chain model based on inventory switching

为解决供应链库存切换过程中存在的牛鞭效应问题,构建具有参数和外部需求不确定的系统模型,对模型中的不确定矩阵采用数值界的形式进行描述,并采用H_(∞)控制理论和LMI方法给出状态反馈控制器的设计条件.结果表明,当存在参数和外部需求不确定的情况时,设计的状态反馈控制器可以抑制外部需求波动.给出牛鞭效应的计算公式,通过算例,清晰地反映出需求的波动对于输出成本的影响,证明了该方法的有效性.

In order to solve the bullwhip effect in the process of inventory switching in supply chain,a system model with uncertain parameters and external demand is constructed.The uncertainty matrix in the model is described in the form of numerical bounds.In this paper,H_(∞)control theory and LMI method are used to give the design conditions of the state feedback controller.The results show that the designed state feedback controller can suppress the fluctuation of external demand(considered as a disturbance)when the parameters and external demand are uncertain.In the example,the formula of bullwhip effect is given.Through the numerical example,the effect of demand fluctuation on output cost can be clearly reflected,which shows the effectiveness of the method.