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.
Robust control of uncertain multi-inventory systems via linear matrix inequality / Bauso, D; Giarrè, Laura; Pesenti, R.. - In: INTERNATIONAL JOURNAL OF CONTROL. - ISSN 0020-7179. - 83:8(2010), pp. 1727-1740. [10.1080/00207179.2010.491131]
Robust control of uncertain multi-inventory systems via linear matrix inequality
GIARRÈ, Laura;
2010
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.
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