TY - GEN
T1 - Application of robustified model predictive control to a production-inventory system
AU - Stoica, C.
AU - Arahal, M. R.
AU - Rivera, Daniel
AU - Rodríguez-Ayerbe, P.
AU - Dumur, D.
PY - 2009
Y1 - 2009
N2 - In this paper, a robustified control technique is applied to a production-inventory system. A linear model is considered for the demand/inventory system with a variable dead-time and a variable yield. The inventory is firstly controlled with a MPC (Model Predictive Control) law designed for some nominal values of the delay and yield. Using a Youla parameter-based procedure, this initial controller is robustified towards different types of uncertainties in order to manage the possible variations of the yield and of the dead-time. The robustification problem leads to a convex optimization, solved with LMI (Linear Matrix Inequality) tools. This robustified controller is further compared to another MPC law, which is slower, but remains stable for all the considered variations of the uncertain parameters. Therefore a trade-off between robust stability towards parametric uncertainties and nominal performances for the nominal system is highlighted.
AB - In this paper, a robustified control technique is applied to a production-inventory system. A linear model is considered for the demand/inventory system with a variable dead-time and a variable yield. The inventory is firstly controlled with a MPC (Model Predictive Control) law designed for some nominal values of the delay and yield. Using a Youla parameter-based procedure, this initial controller is robustified towards different types of uncertainties in order to manage the possible variations of the yield and of the dead-time. The robustification problem leads to a convex optimization, solved with LMI (Linear Matrix Inequality) tools. This robustified controller is further compared to another MPC law, which is slower, but remains stable for all the considered variations of the uncertain parameters. Therefore a trade-off between robust stability towards parametric uncertainties and nominal performances for the nominal system is highlighted.
UR - http://www.scopus.com/inward/record.url?scp=77950832761&partnerID=8YFLogxK
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U2 - 10.1109/CDC.2009.5399740
DO - 10.1109/CDC.2009.5399740
M3 - Conference contribution
AN - SCOPUS:77950832761
SN - 9781424438716
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 3993
EP - 3998
BT - Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
Y2 - 15 December 2009 through 18 December 2009
ER -