Bauso, D., Giarre, L. and Pesenti, R. (2008) Robust control in uncertain multi-inventory systems and consensus problems. In: Proceedings of the 17th IFAC World Congress. 17th IFAC World Congress 2008 IFAC ISBN 9783902661005
Abstract
We consider a continuous time linear multi-inventory system with unknown demands bounded within ellipsoids and controls bounded within polytopes. We address the problem of epsilon-stabilizing the inventory since this implies some reduction of the inventory costs. The main results are certain conditions under which epsilon-stabilizability is possible through a saturated linear state feedback control. The idea of this approach is similar to the consensus problem solution for a network of continuous time dynamic agents, where each agent evolves according to a first order dynamics has bounded control and it is subject to unknown but bounded disturbances. In this context, we derive conditions under which consensus can be reached. 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. Copyright © 2007 International Federation of Automatic Control All Rights Reserved.
Metadata
Item Type: | Proceedings Paper |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2008 IFAC. |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Automatic Control and Systems Engineering (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 05 Feb 2016 14:11 |
Last Modified: | 11 Mar 2016 06:43 |
Published Version: | http://dx.doi.org/10.3182/20080706-5-KR-1001.01524 |
Status: | Published |
Publisher: | IFAC |
Identification Number: | 10.3182/20080706-5-KR-1001.01524 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:89747 |