Observable Feedback Control of discrete processes under time constraint: Application to Cluster Tools
Résumé
Practical control of timed behaviors in industrial applications is difficult. One of the few efficient modeling approaches to deal with time constraints on discrete-event systems (DES) is to use Timed Event Graph (TEG), a sub-class of Petri Nets. The dynamic behavior of these graphs is represented by a linear equations system over the Max-Plus algebra. Up to date, these models were assumed to be fully observable. In this paper, we demonstrate that if a TEG is strongly connected, one can derive a valid and observable control. In other words, the control law depends solely on the control itself and the system's output, considered to be the only observable events. We address the satisfaction of a set of constraints in the case of a single input model (i.e., having only one input transition) and we provide the procedure to derive an observable control law under feedback form. Finally, we apply our control method to a dual-armed cluster tool, a well-known industrial practical application.
Origine : Fichiers produits par l'(les) auteur(s)
Loading...
