Robust perturbations rejection in inventory control system for supply chains

An approach to solving the problem of stabilizing inventory control synthesis for supply chains is proposed. To disturbances rejection simulating unknown but bounded external demand, while ensuring robust stability of the closed-loop system, was 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 was reduced to a sequence of onedimensional convex optimization problems and semidefinite programming.