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.
BAUSO D, GIARRE' L, PESENTI R (2008). Robust control of uncertain multi-inventory systems via linear matrix inequality. In American Control Conference, 2008 (pp.4081-4086). IEEE [10.1109/ACC.2008.4587132].
Robust control of uncertain multi-inventory systems via linear matrix inequality
BAUSO, Dario;GIARRE, Laura;
2008-01-01
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.
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