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

被引：8
作者：
Bauso, Dario [2 ]
Giarre, Laura [1 ]
Pesenti, Raffaele [3 ]
机构：
[1] Univ Palermo, DIAS, I-90128 Palermo, Italy
[2] Univ Palermo, DINFO, I-90128 Palermo, Italy
[3] Univ Ca Foscari Venezia, Dipartimento Matemat Applicata, I-30123 Venice, Italy
来源：
INTERNATIONAL JOURNAL OF CONTROL | 2010年 / 83卷 / 08期
关键词：
impulse control; inventory control; hybrid systems; OPTIMIZATION APPROACH; SATURATING ACTUATORS; LOCAL STABILIZATION; BOUNDED ACTUATORS; LMI APPROACH; DESIGN; STABILITY;
D O I：
10.1080/00207179.2010.491131
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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 epsilon-stabilising the inventory since this implies some reduction of the inventory costs. The main results are certain conditions under which epsilon-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.
引用
收藏
页码：1727 / 1740
页数：14
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