Improved sufficient condition for the controllability of dependent siphons in system of simple sequential processes with resources

G. J. Liu, C. J. Jiang, M. C. Zhou

Research output: Contribution to journalArticlepeer-review

24 Scopus citations

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 languageEnglish (US)
Pages (from-to)1059-1068
Number of pages10
JournalIET Control Theory and Applications
Volume5
Issue number9
DOIs
StatePublished - 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

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