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Control of Discrete-Event Systems pp 147–167Cite as

Coordination Control of Distributed Discrete-Event Systems

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Part of the Lecture Notes in Control and Information Sciences book series (LNCIS,volume 433)

Abstract

A coordinated distributed discrete-event system consists of a coordinator and two or more subsystems. The coordinator directly influences the dynamics of the other subsystems but the subsystems do not directly influence each other. Coordination control of a coordinated distributed discrete-event system is to synthesize supervisors for the coordinator and for each of the subsystems so that the closed-loop system meets the specification. A characterization of the existence of such supervisors is presented as well as the solution to the problem of supremal supervision.

Keywords

  • Minimal Generator
  • Supervisory Control
  • Observer Property
  • Hierarchical Control
  • Conditional Controllability

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Boutin, O., van Schuppen, J.H.: On the control of the paint factory scale model. In: CWI MAC-1103, Amsterdam, The Netherlands (2011), http://oai.cwi.nl/oai/asset/18598/18598D.pdf

  2. Brandt, R.D., Garg, V., Kumar, R., Lin, F., Marcus, S.I., Wonham, W.M.: Formulas for calculating supremal controllable and normal sublanguages. Systems Control Letters 15(2), 111–117 (1990)

    MathSciNet  MATH  CrossRef  Google Scholar 

  3. Cassandras, C.G., Lafortune, S.: Introduction to Discrete Event Systems, 2nd edn. Springer (2008)

    Google Scholar 

  4. Feng, L.: Computationally Efficient Supervisor Design for Discrete-Event Systems. PhD Thesis. University of Toronto, Canada (2007), http://www.kth.se/polopoly_fs/1.24026thesis.zip

  5. Feng, L., Wonham, W.M.: On the computation of natural observers in discrete-event systems. Discrete Event Dynamic Systems 20(1), 63–102 (2010)

    MathSciNet  MATH  CrossRef  Google Scholar 

  6. Gaudin, B., Marchand, H.: Supervisory control of product and hierarchical discrete event systems. European Journal of Control 10(2), 131–145 (2004)

    MathSciNet  CrossRef  Google Scholar 

  7. Kempker, P.L., Ran, A.C.M., van Schuppen, J.H.: Construction of a coordinator for coordinated linear systems. In: Proc. of Euroepan Control Conference, Budapest, Hungary (2009)

    Google Scholar 

  8. Komenda, J., Masopust, T., van Schuppen, J.H.: Coordinated control of discrete event systems with nonprefix-closed languages. In: Proc. of IFAC World Congress 2011, Milano, Italy (2011)

    Google Scholar 

  9. Komenda, J., Masopust, T., van Schuppen, J.H.: On conditional decomposability. CoRR, abs/1201.1733 (2012), http://arxiv.org/abs/1201.1733

  10. Komenda, J., Masopust, T., van Schuppen, J.H.: Supervisory control synthesis of discrete-event systems using a Coordination Scheme. Automatica 48(2), 247–254 (2011)

    CrossRef  Google Scholar 

  11. Komenda, J., Masopust, T., van Schuppen, J.H.: Synthesis of controllable and normal sublanguages for discrete-event systems using a coordinator. Systems and Control Letters 60(7), 492–502 (2011)

    MathSciNet  MATH  CrossRef  Google Scholar 

  12. Komenda, J., van Schuppen, J.H.: Control of discrete-event systems with modular or distributed structure. Theoretical Computer Sciences 388(3), 199–226 (2007)

    MATH  CrossRef  Google Scholar 

  13. Komenda, J., van Schuppen, J.H.: Modular control of discrete-event systems with coalgebra. IEEE Transactions on Automatic Control 53(2), 447–460 (2008)

    CrossRef  Google Scholar 

  14. Komenda, J., van Schuppen, J.H., Gaudin, B., Marchand, H.: Supervisory control of modular systems with global specification languages. Automatica 44(4), 1127–1134 (2008)

    MathSciNet  CrossRef  Google Scholar 

  15. Kumar, R., Garg, V., Marcus, S.I.: On controllability and normality of discrete event dynamical systems. Systems and Control Letters 17(3), 157–168 (1991)

    MathSciNet  MATH  CrossRef  Google Scholar 

  16. Leduc, R.J., Pengcheng, D., Raoguang, S.: Synthesis method for hierarchical interface-based supervisory control. IEEE Transactions on Automatic Control 54(7), 1548–1560 (2009)

    CrossRef  Google Scholar 

  17. Moor, T., et al.: Libfaudes–Discrete Event Systems Library (2006), http://www.rt.eei.uni-erlangen.de/FGdes/faudes/index.html

  18. Pena, P.N., Cury, J.E.R., Lafortune, S.: Polynomial-time verification of the observer property in abstractions. In: Proc. American Control Conference, Seattle, USA (2008)

    Google Scholar 

  19. Polycarpou, M.M., Panayiotou, C., Lambrou, T., van Schuppen, J.H.: CON4COORD WP3 Aerial Vehicles–Final Report (2011), http://www.c4c-project.eu

  20. Ramadge, P.J., Wonham, W.M.: Supervisory control of a class of discrete event processes. SIAM Journal of Control Optimization 25(1), 206–230 (1987)

    MathSciNet  MATH  CrossRef  Google Scholar 

  21. Ramadge, P.J., Wonham, W.M.: The control of discrete event systems. Proceedings of the IEEE 77(1), 81–98 (1989)

    CrossRef  Google Scholar 

  22. Ran, A.C.M., van Schuppen, J.H.: Control for coordination of linear systems. In: Proc. of Mathematical Theory of Networks and Systems, Blacksburg, USA (2008)

    Google Scholar 

  23. Schmidt, K., Breindl, C.: Maximally permissive hierarchical control of decentralized discrete event systems. IEEE Transactions on Automatic Control 56(4), 723–734 (2011)

    MathSciNet  CrossRef  Google Scholar 

  24. Schmidt, K., Moor, T., Perk, S.: Nonblocking hierarchical control of decentralized discrete event systems. IEEE Transactions on Automatic Control 53(10), 2252–2265 (2008)

    MathSciNet  CrossRef  Google Scholar 

  25. Wong, K.C., Wonham, W.M.: Hierarchical control of discrete-event systems. Discrete Event Dynamic Systems 6(3), 241–273 (1996)

    MathSciNet  MATH  CrossRef  Google Scholar 

  26. Wong, K.C.: On the complexity of projections of discrete-event systems. In: Proc. 4th Workshop on Discrete Event Systems, Cagliari, Italy (1998)

    Google Scholar 

  27. Wonham, W.M.: Supervisory control of discrete-event systems. Lecture Notes. University of Toronto (2011), http://www.control.utoronto.ca/DES

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Author information

Authors and Affiliations

  1. Institute of Mathematics, Academy of Sciences of the Czech Republic, Žižkova 22, 616 62, Brno, Czech Republic

    Jan Komenda & Tomáš Masopust

  2. CWI, P.O. Box 94079, 1090, GB, Amsterdam, The Netherlands

    Jan H. van Schuppen

Authors
  1. Jan Komenda
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  2. Tomáš Masopust
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  3. Jan H. van Schuppen
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Corresponding author

Correspondence to Jan Komenda .

Editor information

Editors and Affiliations

  1. , Department of Electrical, University of Cagliari, Piazza D'Armi, Cagliari, 09124, Italy

    Carla Seatzu

  2. , Department of Computer Science, University of Zaragoza, Calle María de Luna 1, Zaragoza, 50018, Spain

    Manuel Silva

  3. Centrum Wiskunde & Informatica, Amsterdam, 1090 GB, Netherlands

    Jan H. van Schuppen

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Komenda, J., Masopust, T., van Schuppen, J.H. (2013). Coordination Control of Distributed Discrete-Event Systems. In: Seatzu, C., Silva, M., van Schuppen, J. (eds) Control of Discrete-Event Systems. Lecture Notes in Control and Information Sciences, vol 433. Springer, London. https://doi.org/10.1007/978-1-4471-4276-8_8

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  • DOI: https://doi.org/10.1007/978-1-4471-4276-8_8

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