Active Robustness of a Milk Manufacturing Workshop with Time Constraints

Simon Collart-Dutilleul (1) , Anis Mhalla (1) , Etienne Craye (1) , Mohamed Benrejeb (2)

1 LAGIS - Laboratoire d'Automatique, Génie Informatique et Signal
2 LR-Automatique-ENIT - Laboratoire d'Automatique [Tunis]

This paper deals with the active robustness of a milk manufacturing workshop including time interval constraints. Such systems have robustness properties towards time disturbances. The robustness property can be a static property, but using a dynamic control strategy may increase the robustness value. Controlled P-time Petri nets are used as a modelling tool. Some definitions and a series of lemmas are cited in order to build a theory dealing with robustness problems. In order to avoid the death of marks at the synchronisation transitions of the P-time Petri net model, a robust control strategy facing time disturbances is presented. The proposed approach tries to reject the disturbance as soon as it is observed. Furthermore, this approach is used by an algorithm computing an active robustness margin at a given node. It is illustrated step by step on an example of a milk manufacturing workshop. A comparison with the bound provided for the passive robustness is made.

Mots clés: AUTOMATIQUE; ANALYSE DE SYSTEMES

Domaines: Automatique

Simon Collart-Dutilleul, Anis Mhalla, Etienne Craye, Mohamed Benrejeb. Active Robustness of a Milk Manufacturing Workshop with Time Constraints. International Journal of Production Research, 2013, 51 (1), pp.9-25. ⟨10.1080/00207543.2011.640713⟩. ⟨hal-00911655⟩