Predictive Feedback Control for Inventory Systems Subject to Delays and Constraints

• 成果类型: Article
• 署名作者: Farraa, Berna Bou; Abbou, Rosa; Loiseau, Jean Jacques
• 署名单位: Centre National de la Recherche Scientifique (CNRS); Nantes Universite
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3217110
• 发表日期: 2023
• 页码: 5096-5102
• 关键词: Constraints verification; input-delayed system; INVENTORY CONTROL; predictive feedback structure

摘要

In this article, 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.