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Constraint Programming for Controller Synthesis

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Principles and Practice of Constraint Programming – CP 2011 (CP 2011)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 6876))

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Abstract

In this paper, we show how the problem of synthesis of a controller for a dynamic system that must satisfy some safety properties, possibly in a non deterministic and partially observable setting, can be modeled as a pure constraint satisfaction problem, by replacing the reachability property by a so-called weak reachability property. We show, first on a toy illustrative example, then on a real-world example of control of a satellite subsystem, how standard constraint programming tools can be used to model and solve the controller synthesis problem. Finally, we conclude with the strengths and weaknesses of the proposed approach.

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References

  1. Bellman, R.: Dynamic Programming. Princeton University Press, Princeton (1957)

    MATH  Google Scholar 

  2. Bertoli, P., Cimatti, A., Roveri, M., Traverso, P.: Planning in Nondeterministic Domains under Partial Observability via Symbolic Model Checking. In: Proc. of IJCAI 2001, pp. 473–478 (2001)

    Google Scholar 

  3. Bonet, B., Palacios, H., Geffner, H.: Automatic Derivation of Memoryless Policies and Finite-State Controllers Using Classical Planners. In: Proc. of ICAPS 2009 (2009)

    Google Scholar 

  4. Clarke, E., Grumberg, O., Peled, D.: Model Checking. MIT Press, Cambridge (1999)

    Google Scholar 

  5. Damiani, S., Verfaillie, G., Charmeau, M.C.: An Earth Watching Satellite Constellation: How to Manage a Team of Watching Agents with Limited Communications. In: Proc. of AAMAS 2005, pp. 455–462 (2005)

    Google Scholar 

  6. Dantzig, G.: Linear Programming and Extensions. Princeton University Press, Princeton (1963)

    Book  MATH  Google Scholar 

  7. Esterel Technologies: SCADE, http://www.esterel-technologies.com/

  8. Ghallab, M., Nau, D., Traverso, P.: Automated Planning: Theory and Practice. Morgan Kaufmann, San Francisco (2004)

    MATH  Google Scholar 

  9. Halbwachs, N.: Synchronous Programming of Reactive Systems. Kluwer, Dordrecht (1993)

    Book  MATH  Google Scholar 

  10. IBM ILOG: Cplex optimization studio, http://www-01.ibm.com/software/integration/optimization/cplex-optimization-studio/

  11. Jobstmann, B., Galler, S., Weiglhofer, M., Bloem, R.: Anzu: A Tool for Property Synthesis. In: Damm, W., Hermanns, H. (eds.) CAV 2007. LNCS, vol. 4590, pp. 258–262. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  12. Lemaître, M., Verfaillie, G., Pralet, C., Infantes, G.: Synthèse de contrôleur simplement valide dans le cadre de la programmation par contraintes. In: Actes de JFPDA 2010 (2010)

    Google Scholar 

  13. MBP Team: Model Based Planner, http://sra.itc.it/tools/mbp/

  14. Pnueli, A., Rosner, R.: On the Synthesis of a Reactive Module. In: Proc. of POPL 1989, pp. 179–190 (1989)

    Google Scholar 

  15. Pralet, C., Lemaître, M., Verfaillie, G., Infantes, G.: Synthesizing Controllers for Autonomous Systems: A Constraint-based Approach. In: Proc. of iSAIRAS 2010 (2010)

    Google Scholar 

  16. Pralet, C., Verfaillie, G., Lemaître, M., Infantes, G.: Constraint-based Controller Synthesis in Non-deterministic and Partially Observable Domains. In: Proc. of ECAI 2010, pp. 681–686 (2010)

    Google Scholar 

  17. Puterman, M.: Markov Decision Processes, Discrete Stochastic Dynamic Programming. John Wiley & Sons, Chichester (1994)

    MATH  Google Scholar 

  18. Ramadge, P., Wonham, W.: The Control of Discrete Event Systems. Proc. of the IEEE 77(1), 81–98 (1989)

    Article  MATH  Google Scholar 

  19. RATSY Team: RATSY: Requirements Analysis Tool with Synthesis, http://rat.fbk.eu/ratsy/

  20. Rossi, F., Beek, P.V., Walsh, T. (eds.): Handbook of Constraint Programming. Elsevier, Amsterdam (2006)

    MATH  Google Scholar 

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Verfaillie, G., Pralet, C. (2011). Constraint Programming for Controller Synthesis. In: Lee, J. (eds) Principles and Practice of Constraint Programming – CP 2011. CP 2011. Lecture Notes in Computer Science, vol 6876. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23786-7_10

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  • DOI: https://doi.org/10.1007/978-3-642-23786-7_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-23785-0

  • Online ISBN: 978-3-642-23786-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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