Laguerre Function based Model Predictive Control for Multiple Product Inventory System

This paper describes model predictive based control for a multiple product inventory system. Inventory systems are designed for replenishment orders to fill the stock. The orders for the products are issued such that the demand for the product is met and a desired stock is maintained. In case of inventory systems with multiple products the same objectives are desired for individual products. The demand for the products is unknown prior. The system dynamics is not affected by the demand for the products but affected by the supply and the arriving orders. Model Predictive Control has the ability to work in constrained environment of states as well as control input and the number of parameters are reduced by using Laguerre model predictive control in the control law. Control law for replenishment orders is derived and simulations on a two product inventory system are shown for validation.