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 ε-stabilizing the inventory since this implies some reduction of the inventory costs. As main result, we provide conditions under which ε-stabilizability is possible through a saturated linear state feedback control. All the results are based on a Linear Matrix Inequalities (LMIs) approach.
Robust control of uncertain multi-inventory systems via Linear Matrix Inequality
PESENTI, Raffaele
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 ε-stabilizing the inventory since this implies some reduction of the inventory costs. As main result, we provide conditions under which ε-stabilizability is possible through a saturated linear state feedback control. All the results are based on a Linear Matrix Inequalities (LMIs) approach.File in questo prodotto:
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