Robastny stockpile management in a network of deliveries for production of means of household chemicals

The problem of robust stabilizing inventory control synthesis under the action of an unknown but bounded external demand in the supply network for the production of household chemicals of Ltd. Company "CB" is solved. The parametric uncertainty of the model associated with varying of the transport delays values in the operation of the supply network is provided in the form of a convex polyhedron whose vertices correspond to the possible embodiments of the model dynamic matrix. In order to suppress the influence of disturbances simulating external demand, while ensuring robust stability of the closed-loop system, is used the invariant ellipsoids technique, which allowed to formulate the control problem in terms of linear matrix inequalities. As a result the control synthesis problem is reduced to a sequence of semidefinite programming problems. The results of numerical modeling are presented.