Abstract

A complex industrial process is described by means of a new model of process/transition Petri nets with mixed-mark, namely time-varied process/transition Petri nets in this paper. In this model, the running marks and remnant time of sub-process are introduced. Based on logic and timed mark variables, it solved effectively many problems of complex industrial process, such as the integrated modeling of sub- process, the coupling between discrete variables and continuous states and joining between process controls and production control. And real-time supervisory control and scheduling of complex industrial process with multi-working places are studied deeply based on this model. Finally, the approaches to solve optimal strategies of real-time supervisory control, the realtime scheduling and process control are proposed.

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