We consider a continuous time linear multi-inventory system with unknown demands bounded within ellipsoids and controls bounded within ellipsoids or polytopes. We address the problem of -stabilising the inventory since this implies some reduction of the inventory costs. The main results are certain conditions under which -stabilisability is possible through a saturated linear state feedback control. All the results are based on a linear matrix inequalities approach and on some recent techniques for the modelling and analysis of polytopic systems with saturations. Numerical simulations are provided.

Bauso, D., Giarrè, L., Pesenti, R. (2010). Robust control of uncertain multi-inventory systems via linear matrix inequality. INTERNATIONAL JOURNAL OF CONTROL, 83(8), 1727-1740 [10.1080/00207179.2010.491131].

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

BAUSO, Dario;GIARRE, Laura;
2010-01-01

Abstract

We consider a continuous time linear multi-inventory system with unknown demands bounded within ellipsoids and controls bounded within ellipsoids or polytopes. We address the problem of -stabilising the inventory since this implies some reduction of the inventory costs. The main results are certain conditions under which -stabilisability is possible through a saturated linear state feedback control. All the results are based on a linear matrix inequalities approach and on some recent techniques for the modelling and analysis of polytopic systems with saturations. Numerical simulations are provided.
2010
Bauso, D., Giarrè, L., Pesenti, R. (2010). Robust control of uncertain multi-inventory systems via linear matrix inequality. INTERNATIONAL JOURNAL OF CONTROL, 83(8), 1727-1740 [10.1080/00207179.2010.491131].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/59849
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