Parameters estimation for timed and continuous Petri nets: Application to the identification and monitoring of hybrid systems

Petri net ( PN) models are useful tools for the modeling of discrete event systems and hybrid systems. This paper is about the parameters estimation for two classes of timed PNs: T- timed PNs and continuous PNs with variable speeds. The parameters to be estimated are either incidence or temporal parameters. Data- and model- based methods are proposed. In each case, on- line and off-line implementations are detailed. As a consequence, identification and monitoring applications for hybrid systems are described.