Brief paper: Nonblocking supervisory control of timed discrete event systems under communication delays: The existence conditions

  • Authors:
  • Seong-Jin Park;Kwang-Hyun Cho

  • Affiliations:
  • Department of Electrical and Computer Engineering, Ajou University, Suwon 443-749, Republic of Korea;Department of Bio and Brain Engineering and KI for the BioCentury, Korea Advanced Institute of Science and Technology, Daejeon 305-701, Republic of Korea

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

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Abstract

This paper addresses the problem of nonblocking supervisory control of timed discrete event systems under communication delays based on the framework proposed by Brandin and Wonham. For such a system, a supervisory control command could be applied to the system after some time-delay limited by a finite bound corresponding to the maximal number of tick occurrences, and some uncontrollable events may unexpectedly occur within this time-delay. This paper presents the necessary and sufficient conditions for the existence of a nonblocking supervisor that can achieve a given language specification in consideration of such delayed communications.