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Title: Robust model predictive control of constrained supply networks via invariant ellipsoids technique
Authors: Lyubchyk, Leonid
Dorofieiev, Yuri
Nikulchenko, Artem
Keywords: supply network; inventory control; constrained control; model predictive control; invariant ellipsoid; linear matrix inequality; semi-definite programming
Issue Date: 2013
Citation: Lyubchyk L. Robust model predictive control of constrained supply networks via invariant ellipsoids technique [Electronic resource] / L. Lyubchyk, Yu. Dorofieiev, A. Nikulchenko // Manufacturing modelling, management and control MIM`2013 : proc. IFAC conf., June 19-21, 2013. – Electronic text data. – 2013. – Saint-Petersburg, 2013. – P. 1618-1623. – URI:
Abstract: The problem of robust control strategy synthesis for distributed supply network under demand uncertainty, time delays and state and control constraints is considered. An invariant ellipsoids approach is used for robust control problem solving, since the uncertain demands are regarded as an external disturbance. On the base Model Predictive Control approach, the designed control law implements in the form of linear feedback signal based on mismatch between the current state and safety stock level and provides external disturbances effect suppression with simultaneous robust stabilization of closed-loop system. Via invariant ellipsoids technique the considered problem was presented in the terms of Linear Matrix Inequalities and a solution of corresponding semi-definite optimization problem was also obtained. As an example, the three-tier supply network with ve nodes robust control problem is considered.
Appears in Collections:Кафедра "Комп'ютерна математика і аналіз даних"
Кафедра "Системний аналіз та інформаційно-аналітичні технології"

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