Robust control of uncertain multi-inventory systems via Linear Matrix Inequality
Optimization and Control
2007-10-26 v1 Dynamical Systems
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 "-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.
Keywords
Cite
@article{arxiv.0710.4765,
title = {Robust control of uncertain multi-inventory systems via Linear Matrix Inequality},
author = {D. Bauso and L. Giarré and R. Pesenti},
journal= {arXiv preprint arXiv:0710.4765},
year = {2007}
}
Comments
submitted to Operational Research Letters