Reduction of constraints for controller synthesis based on safe Petri Nets

  • Authors:
  • Abbas Dideban;Hassane Alla

  • Affiliations:
  • Electrical Eng. Department, Semnan University, Semnan, Iran;Gipsa Lab, ENSIEG, BP46, 38402 Saint-Martin d'Hères, France

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2008

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Abstract

In this paper, we present an efficient method based on safe Petri Nets to construct a controller. A set of linear constraints allows forbidding the reachability of specific states. The number of these so-called forbidden states, and consequently the number of constraints, are large and lead to a large number of control places. A systematic method to reduce the size and the number of constraints for safe Petri Nets is offered. By using a method based on Petri Net invariants, maximal permissive controllers are determined.