Supervisory Control of a Class of Concurrent Discrete Event Systems Under Partial Observation

  • Authors:
  • Shigemasa Takai;Toshimitsu Ushio

  • Affiliations:
  • Department of Electronics and Information Science, Kyoto Institute of Technology, Kyoto, Japan 606-8585;Department of Systems Innovation, Osaka University, Osaka, Japan 560-8531

  • Venue:
  • Discrete Event Dynamic Systems
  • Year:
  • 2005

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Abstract

In this paper, we study supervisory control of a class of discrete event systems with simultaneous event occurrences, which we call concurrent discrete event systems, under partial observation. The behavior of the system is described by a language over the simultaneous event set. First, we prove that Lm(G)-closure, controllability, observability, and concurrent well-posedness of a specification language are necessary and sufficient conditions for the existence of a nonblocking supervisor. Next, we synthesize a supervisor that achieves the infimal closed, controllable, observable, and concurrently well-posed superlanguage of a specification language. Finally, we synthesize a supervisor that achieves a maximal closed, controllable, observable, and concurrently well-posed sublanguage of a closed specification language.