Robust control of uncertain multi-inventory systems via Linear Matrix Inequality

Details Robust control of uncertain multi-inventory systems via Linear Matrix Inequality Robust control of uncertain multi-inventory systems via Linear Matrix Inequality

2007-10-25

arxiv.org/abs/0710.4765v1

Mathematics

Optimization and Control

submitted to Operational Research Letters

Scientific paper

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 "-stabilizing the inventory since this implies some reduction of the inventory costs. The main results are certain conditions under which "-stabilizability is possible through a saturated linear state feedback control. All the results are based on a Linear Matrix Inequalities (LMIs) approach and on some recent techniques for the modeling and analysis of polytopic systems with saturations.

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