Research On Delayed Feedback Control Schemes For Periodic-Review Inventory Systems

Based on the established inventory system model,and con-sidered uncertain factors that affect the stability of the system,the control strategy of inventory system in supply chain is studied in this paper.The main work includes the following aspects:The problem of H? tracking controller for periodic-review inventory system with perishable goods is concerned.First,a perishable inventory system replenished from multiple supply sources is established,and a lin-ear exogenous system is introduced to describe the characteristics of the desired stock level of the inventory system.Then,an H? tracking control scheme is presented and some sufficient conditions of the existence of H?tracking controller are developed.Simulation results show that under the controller,the system can respond quickly to the market demand,reduce the risk of excess or lack of inventory for company,and effectively inhibit the bullwhip effects,moreover,the stock level of the inventory manage-ment system can track the desired stock level of the system effectively.Delayed feedback H? control of a periodic-review inventory manage-ment system with perishable goods is considered.Based on the inventory system replenished from multiple supply sources,a delayed feedback H?control strategy is developed to mitigate bullwhip effects of the system by using history states as well as current states of the inventory system,and some sufficient conditions on the existence of the delayed feedback H?controller are derived.It is found through simulation results that under de-mand disturbances,the proposed delayed H? control scheme can reduce the fluctuation of the order quantity and reduce the stock level of the enter-prise,which means it is capable of improving performance of the inventory system significantly and reducing inventory cost.In addition,the delayed controller is better than the traditional delay-free H? controller.