State Estimation and Fault Diagnosis of Labeled Time Petri Net Systems With Unobservable Transitions

摘要

In this paper, we present a procedure for the state estimation and fault diagnosis of a labeled Time Petri net system. Starting from the defined by Berthomieu and Diaz, we introduce a new graph called (MSCG) that allows an exhaustive representation of the evolution of the timed system. Then, we present a procedure that, given a timed observation, i.e., a sequence of labels with their firing time instants, and a time instant , allows one to determine in which states the system can be at time by using the MSCG and solving a certain number of linear programming problems. Finally, we present a procedure to perform fault diagnosis using the MSCG.