DELAYED STATE FEEDBACK H∞ CONTROL FOR PERIODIC-REVIEW INVENTORY SYSTEMS

We investigate delayed state feedback control of a periodic-review inventory management system with perishable goods. The stock under consideration is replenished from multiple supply sources. By using delayed states as well as current states of the inventory system, a delayed feedback H-infinity control strategy is developed to mitigate bullwhip effects of the system. Some conditions on the existence of the delayed feedback H-infinity controller are derived. It is found through simulation results that the proposed delayed H-infinity control scheme is capable of improving the performance of the inventory management significantly. In addition, the delayed controller is better than the traditional delay-free H-infinity controller.