• DocumentCode
    1277473
  • Title

    Analysis of preemptive periodic real-time systems using the (max, plus) algebra with applications in robotics

  • Author

    Baccelli, François ; Gaujal, Bruno ; Simon, Daniel

  • Author_Institution
    ENS, Paris, France
  • Volume
    10
  • Issue
    3
  • fYear
    2002
  • fDate
    5/1/2002 12:00:00 AM
  • Firstpage
    368
  • Lastpage
    380
  • Abstract
    We present the model of a system of periodic real-time tasks with fixed priorities, preemption and synchronization, performed by a robot controller, using marked graphs. Then, with the help of the (max, plus) algebra, we derive simple tests to check real-time constraints on those tasks such as response times and the respect of deadlines. This method takes into account the precedence and synchronization constraints and is not limited to a particular scheduling policy
  • Keywords
    control system analysis computing; graph theory; periodic control; real-time systems; robots; synchronisation; ORCCAD software; fixed priority preemption; marked graphs; max plus algebra; periodic systems; real-time systems; response times; robotics; synchronization; Algebra; Clocks; Computational complexity; Delay; Performance analysis; Real time systems; Robot control; Synchronization; Testing; Time measurement;
  • fLanguage
    English
  • Journal_Title
    Control Systems Technology, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1063-6536
  • Type

    jour

  • DOI
    10.1109/87.998024
  • Filename
    998024