On controller design for the inventory regulation problem in production systems

Abstract

In this paper, we are interested on the inventory regulation problem in production systems which must respond to the customer demands of finite products. Such systems are characterized by the presence of delays due to production processes, the saturations of the input command and the constraints due to the finite capacities of stocks. In our study, the customers demand are considered to be unknown but bounded by a given value. The proposed approach is based on a saturated predictor-feedback structure, in which the constraints and the physical limitations of the production system are taken into account. The concepts used in this approach are the Bounds Calculus for Input-Output systems and Intervals and sets properties. This approach gives necessary and sufficient conditions on the controller parameters, for which the system requirements will be completely met. The accuracy of the proposed methodology is illustrated through simulation results of a basic production unit.