Robust control of uncertain multi-inventory systems via linear matrix inequality

Abstract

We consider a continuous time linear multi-inventory system with unknown demands bounded within ellipsoids and controls bounded within ellipsoids. We address the problem of e-stabilizing the inventory since this implies some reduction of the inventory costs. As main result, we provide conditions under which e-stabilizability is possible through a saturated linear state feedback control. All the results are based on a linear matrix inequalities (LMIs) approach.