A framework for inferential problems in DEDS. I. TTM based modeling

Inferential Problems for a Class of Discrete-Time Hybrid -Systems Part I: Process Modeling

“…and W.M., 1989). The model has been subsequently extended to include time and process variables (Mukhopadhay et al, 2000a). As a natural extension and in view of the existence of a rich theory of continuous variable dynamics, the FSM model has been further enhanced to encompass hybrid systems (Zad, 1999).…”

“…As a natural extension and in view of the existence of a rich theory of continuous variable dynamics, the FSM model has been further enhanced to encompass hybrid systems (Zad, 1999). In this work a hybrid extension of the work (Mukhopadhay et al, 2000a), (Bhowal et al, 2000), (Mukhopadhay et al, 2000b) is proposed.…”

“…In (Mukhopadhay et al, 2000a), inferential problems such as, state estimation and fault detection and diagnosis (FDD), were discussed for a class of timed discrete event systems. The process model was similar to the Timed Transition Model (TTM) (Ostroff and Wonham, 1990).…”

Inferential Problems for a Class of Discrete-Time Hybrid Systems Part Iii: Fault Diagnosis

“…Fault detection and diagnosis (FDD) has been the subject of much research from the area of DEDS (Sampath et al, 1995), (Sampath et al, 1996), (Mukhopadhay et al, 2000a), (Bhowal et al, 2000), (Mukhopadhay et al, 2000b) and continuous dynamics. However work on FDD based on Hybrid System Models has started recently (Basseville et al, 1997), (Gao and Xu, 1999), (McIlraith et al, 2000).…”

A framework for inferential problems in DEDS. III. Fault diagnosis

“…To" T m where, E>m(x) is the unobservable reach of x up to TY defined in [7]. Obviously, i i E zi so the estimates of the observer are further refined using additional measurements.…”