TY - JOUR PB - Elsevier A1 - Potocnik, Bostjan A1 - Bemporad, Alberto A1 - Torrisi, Fabio Danilo A1 - Music, Gasper A1 - Zupancic, Borut SP - 1127 Y1 - 2004/09// IS - 9 JF - Control Engineering Practice VL - 12 SN - 0967-0661 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. KW - Hybrid systems; Modelling; Optimal control; Reachability analysis; Branch-and-bound methods TI - Hybrid modelling and optimal control of a multi product batch plant AV - none UR - http://www.sciencedirect.com/science/article/pii/S0967066103002612 ID - eprints451 EP - 1137 ER -