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

  • Autori: Bauso, D.; Giarre, L.; Pesenti, R.
  • Anno di pubblicazione: 2010
  • Tipologia: Articolo in rivista (Articolo in rivista)
  • Parole Chiave: impulse control, inventory control, hybrid systems
  • OA Link:


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.