TY  - JOUR
KW  - Hybrid systems; Modelling; Optimal control; Reachability analysis; Branch-and-bound methods
UR  - http://www.sciencedirect.com/science/article/pii/S0967066103002612
PB  - Elsevier
SN  - 0967-0661
JF  - Control Engineering Practice
ID  - eprints451
Y1  - 2004/09//
EP  - 1137
SP  - 1127
AV  - none
N2  - This paper addresses the problem of optimally selecting the production plan for a Multiproduct Batch Plant. The proposed approach can also be applied to a broader class of optimal control problems for systems with discrete inputs. The plant is modelled as a Discrete Hybrid Automaton (DHA) using the high level modelling language, HYbrid System DEscription Language (HYSDEL), which allows conversion of the DHA model into an Mixed Logical Dynamical (MLD) model. The solution algorithm, which takes into account a model of a hybrid system described as an MLD system, is based on reachability analysis ideas. The algorithm abstracts the behaviour of the hybrid system into a ?tree of evolution?, where nodes of the tree represent reachable states of the system, and branches connect two nodes if a transition exists between the corresponding states. To each node a cost function value is associated and, based on this value, the tree exploration is driven, searching for the optimal control profile.
TI  - Hybrid modelling and optimal control of a multi product batch plant
IS  - 9
VL  - 12
A1  - Potocnik, Bostjan
A1  - Bemporad, Alberto
A1  - Torrisi, Fabio Danilo
A1  - Music, Gasper
A1  - Zupancic, Borut
ER  -