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The Generalised Method for Solving Problems of the DEDS Control Synthesis

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Developments in Applied Artificial Intelligence (IEA/AIE 2003)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2718))

Abstract

The method represents a generalisation of the author’s method presented recently. It extends the validity of the original method to the wider class of discrete-event dynamic systems (DEDS) to be controlled. Both the original method and the innovated one are suitable for DEDS able to be described by ordinary Petri nets (OPN). The earlier method can be successfully used only in case of the DEDS described by the special class of OPN - so called state machines (SM). The method proposed here can be used in case of DEDS described by the bounded OPN. While SM have special restrictions on their structure the bounded OPN have no structural restrictions. Namely, SM are OPN with transitions having only the single input place and the single output place. Thus, the validity of the method is extended because the class of bounded OPN is undoubtedly many times wider than the class of OPN represented by SM. Both the original method and the proposed one can alternatively utilize ordinary directed graphs (ODG) or bipartite directed graphs (BDG).

Partially supported by the Slovak Grant Agency for Science (VEGA) under grant # 2/3130/23

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References

  1. Čapkovič, F.: Automated Solving of DEDS Control Problems. In: El-Dessouki, A., Imam, I., Kodratoff, Y., Ali, M. (eds.): Multiple Approaches to Intelligent Systems. Lecture Notes in Computer Science, Vol. 1611. Springer-Verlag, Berlin Heidelberg New York (1999) 735–746

    Google Scholar 

  2. Čapkovič, F.: Intelligent Control of Discrete Event Dynamic Systems. In: Koussoulas, N.T., Groumpos, P.P., Polycarpou, M. (eds.): Proc. of IEEE International Symposium on Intelligent Control. IEEE Press, Patras, Greece (2000) 109–114.

    Google Scholar 

  3. Čapkovič, F.: Modelling and Control of Discrete Event Dynamic Systems. BRICS Report Series, RS-00-26. University of Aarhus, Denmark (2000) 58 p.

    Google Scholar 

  4. Čapkovič, F.: A Solution of DEDS Control Synthesis Problems. In: Kozák, š., Huba, M. (eds.): Control System Design. Proceedings of IFAC Conference. Pergamon, Elsevier Science. Oxford, UK (2000) 343–348.

    Google Scholar 

  5. Čapkovič, F.: An Approach to the Control Synthesis of State Machines. In: Trappl, R. (ed.): Cybernetics and Systems. Proceedings of 16th European Meeting on Cybernetics and Systems Research, Vol. 1. Austrian Society for Cybernetics Studies, Vienna, Austria (2002) 81–86.

    Google Scholar 

  6. Čapkovič, F.: Knowledge-Based Control Synthesis of Discrete Event Dynamic Systems. In: Tzafestas, S.G. (ed.): Advances in Manugacturing. Decision, Control and Information Technology. Chapter 19. Springer-Verlag, London (1998) 195–206.

    Google Scholar 

  7. Čapkovič, F., Čapkovič, P.: Intelligent Control Synthesis of Manufacturing Systems. In: Monostori, L., Vancza, J., Ali, M. (eds.): Engineering of Intelligent Systems. Lecture Notes in Computer Sciences, Vol. 2070. Springer-Verlag, Berlin Heidelberg New York (2001) 767–776.

    Google Scholar 

  8. CzechResGr.: http://dce.felk.cvut.cz/cak/Research/index_Research.htm

  9. Diestel, R.: Graph Theory. Springer-Verlag, New York (1997)

    MATH  Google Scholar 

  10. Holloway, L., Krogh, B., Giuia, A.: A Survey of Petri Net Methods for Controlled Discrete Event Systems. Discrete Event Dynamic Systems: Theory and Applications 7 (1997) 151–180.

    Article  MATH  Google Scholar 

  11. Pastor, E., Cortadella, J., Pena, M.A.: Structural Methods to Improve the Symbolic Analysis of Petri Nets. In: Donatelli, S., Kleijn, J. (eds.): Application and Theory of Petri Nets 1999. Lecture Notes in Computer Sciences, Vol. 1639. Springer-Verlag, Berlin Heidelberg New York (1999) 26–45

    Chapter  Google Scholar 

  12. Peterson, J.L.: Petri Net Theory and Modeling the Systems. Prentice Hall, New York (1981)

    Google Scholar 

  13. Tzafestas, S.G., Čapkovič, F.: Petri Net-Based Approach to Synthesis of Intelligent Control for DEDS. In: Tzafestas, S.G. (ed.): Computer Assisted Management and Control of Manufacturing Systems, Chapter 12. Springer-Verlag, Berlin Heidelberg New York (1997) 325–351

    Google Scholar 

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Čapkovič, F. (2003). The Generalised Method for Solving Problems of the DEDS Control Synthesis. In: Chung, P.W.H., Hinde, C., Ali, M. (eds) Developments in Applied Artificial Intelligence. IEA/AIE 2003. Lecture Notes in Computer Science(), vol 2718. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45034-3_71

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  • DOI: https://doi.org/10.1007/3-540-45034-3_71

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  • Print ISBN: 978-3-540-40455-2

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