Abstract
Ezpeleta et al. defined a class of Petri nets called system of simple sequential processes with resources, S3PR for short, which can well model some flexible manufacturing systems (FMSs) and present a deadlock prevention policy based on strict minimal siphons (SMS). However, the number of SMS grows exponentially with net size, thereby making the liveness-enforcing supervisor very complex. Li and Zhou proposed an improved policy that allows one to design a much simpler supervisor. They partitioned SMS into dependent and elementary ones, and control dependent ones by controlling elementary ones only. They give a sufficient condition to decide whether a dependent SMS is controlled by its elementary ones. However, this condition is so loose that in most cases the controllability of a dependent SMS cannot be determined although it is actually controlled. The authors propose an improved condition based on a more detailed relationship between dependent and elementary SMS. Finally, an FMS example is used to illustrate the advantage of the proposed condition.
Original language | English (US) |
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Pages (from-to) | 1059-1068 |
Number of pages | 10 |
Journal | IET Control Theory and Applications |
Volume | 5 |
Issue number | 9 |
DOIs | |
State | Published - Jun 16 2011 |
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Human-Computer Interaction
- Computer Science Applications
- Control and Optimization
- Electrical and Electronic Engineering