Diagnosis of batch processes based on parameter estimation of discrete event models

Modelling and hierarchical diagnosis of timed discrete-event systems

“…If x i (k) xˆi(k) þ D ij holds, which means that the k-th firing of transition q i occurs earlier than predicted by the model estimated in the previous cycle or is delayed less than D ij , this residual is equivalent to the residual already defined in [16]. Otherwise, the k-th firing of q i is delayed by more than D ij with respect to the time xˆi(k) predicted by (20).…”

Modeling Methods Based on Discrete Algebraic Systems

“…Each process's start and processing times are assigned to internal states and system parameters, respectively. Similar examples include diagnosis and fault detection for batch-processing lines (Sampath et al, 1996;Schullerus & Krebs, 2001). In such systems, the input times correspond to start times for injection of a substance or solvent, and the output times are equal to completion times for the outflow of the resulting substance.…”

Robust MPL scheduling considering the number of in-process jobs

“…Methods for modeling discrete event systems utilizing MPL representation are applied to fields of production systems (De Schutter and Boom, 2001), chemical plants (Schullerus and Krebs, 2001), and transportation systems (Braker, 1991;Heidergott and De Veries, 2001;De Schutter and Boom, 2002). Much attention has been paid to these applications.…”