Predictive Feedback Control for Inventory Systems Subject to Delays and Constraints

• Published in: IEEE transactions on automatic control Vol. 68; no. 8; pp. 1 - 8
• Main Authors: Farraa, Berna Bou, Abbou, Rosa, Loiseau, Jean Jacques
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.08.2023; The Institute of Electrical and Electronics Engineers, Inc. (IEEE); Institute of Electrical and Electronics Engineers
• Subjects: Closed loops; Constraints verification; Control systems; Control theory; Delays; Engineering Sciences; Feedback control; input-delayed system; inventory control; Kernel; Lead time; Linear prediction; Logistics; Predictive control; predictive feedback structure; Production; Production systems; Regulation; Storage units; Sufficient conditions; Time delay systems; inventory control; Constraints verification; input-delayed system; predictive feedback structure
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2022.3217110

In this paper, we discuss the inventory regulation problem of a logistic system composed of a production unit and inventory unit. The production system is characterized by a constant lead time, and the storage unit presents fixed losses due to perishable products. In this study, the system is subject to finite production resources, limited storage capacities, and the customer demands are uncertain in a given range. We address a control strategy to the input time delay system that is subject to positive and saturation constraints and to bounded disturbances. We apply a linear prediction feedback control strategy, in order to stabilize the closed-loop system and to fulfill the system constraints, so that necessary and sufficient conditions for the existence of an admissible control law are formulated.