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A SAT-Based Approach for the Construction of Reusable Control System Components

  • Daniel Côté
  • Benoît Fraikin
  • Marc Frappier
  • Richard St-Denis
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6959)

Abstract

This paper shows how to take advantage of a SAT-solving approach in the development of safety control software systems for manufacturing plants. In particular, it demonstrates how to construct reusable components which are assembled after instantiation to derive controllers of modular production systems. An experiment has been conducted with Alloy not only to verify properties required by a control theory for complex systems organized hierarchically, but also to synthesize two major parts of a component: observer and supervisor. The former defines its interface while guaranteeing nonblocking hierarchical control. The latter ensures the satisfaction of constraints imposed on its behavior and on the interactions among its subcomponents during system operation. As long as the size of component interfaces is small, SAT-solvers appear useful to build correct reusable components because the formal models that engineers manipulate and analyze are very close to the abstract models of the mathematical theory.

Keywords

Repository of reusable components component-based software development hierarchical control supervisory control theory verification synthesis bounded model checking SAT-solver Alloy 

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References

  1. 1.
    Åkesson, K., Fabian, M., Flordal, H., Malik, R.: Supremica—an integrated environment for verification, synthesis and simulation of discrete event systems. In: Proceedings of 8th International Workshop on Discrete Event Systems, pp. 384–385 (2006)Google Scholar
  2. 2.
    Barbeau, M., Kabanza, F., St-Denis, R.: An efficient algorithm for controller synthesis under full observation. Journal of Algorithms 25, 144–161 (1997)MathSciNetCrossRefzbMATHGoogle Scholar
  3. 3.
    Balemi, S., Hoffmann, G.J., Gyugyi, P., Wong-Toi, H., Franklin, G.F.: Supervisory control of a rapid thermal multiprocessor. IEEE Transactions on Automatic Control 38, 1040–1059 (1993)MathSciNetCrossRefzbMATHGoogle Scholar
  4. 4.
    Claessen, K., Een, N., Sheeran, M., Sörensson, N., Voronov, A., Åkesson, K.: SAT-solving in practice, with a tutorial example from supervisory control. Discrete Event Dynamic Systems: Theory and Applications 19, 495–524 (2009)MathSciNetCrossRefzbMATHGoogle Scholar
  5. 5.
    Côté, D.: Conception par composantes de contrôleurs d’usines modulaires utilisant la théorie du contrôle supervisé. Ph.D. thesis, Département d’informatique, Université de Sherbrooke, submitted (2011)Google Scholar
  6. 6.
    Côté, D., Embe Jiague, M., St-Denis, R.: Systems-theoretic view of component-based software development. In: Pre-proceedings of 7th International Workshop on Formal Aspects of Component Software, pp. 65–82 (2010) (to appear in Lecture Notes in Computer Science)Google Scholar
  7. 7.
    Fernandez, J.-C.: An implementation of an efficient algorithm for bisimulation equivalence. Science of Computer Programming 13, 219–236 (1990)MathSciNetCrossRefzbMATHGoogle Scholar
  8. 8.
    FESTO: Sorting Station—Modular Production System. Festo Didactic GmbH & Co., Denkendorf (1998)Google Scholar
  9. 9.
    Gebremichael, B., Vaandrager, F.: Control synthesis for a smart card personalization system using symbolic model checking. In: Larsen, K.G., Niebert, P. (eds.) FORMATS 2003. LNCS, vol. 2791, pp. 189–203. Springer, Heidelberg (2004)CrossRefGoogle Scholar
  10. 10.
    Gromyko, A., Pistore, M., Traverso, P.: A tool for controller synthesis via symbolic model checking. In: Proceedings of 8th International Workshop on Discrete Event Systems, pp. 475–476 (2006)Google Scholar
  11. 11.
    Jackson, D.: Software Abstractions. MIT Press, Cambridge (2006)Google Scholar
  12. 12.
    Kumar, R., Garg, V.K.: Modeling and Control of Logical Discrete Event Systems. Kluwer Academic Publishers, Boston (1995)CrossRefzbMATHGoogle Scholar
  13. 13.
    Leduc, R.J., Lawford, M., Wonham, W.M.: Hierarchical interface-based supervisory control—part II: parallel case. IEEE Transactions on Automatic Control 50, 1336–1348 (2005)MathSciNetCrossRefzbMATHGoogle Scholar
  14. 14.
    Ma, C., Wonham, W.M.: Nonblocking Supervisory Control of State Tree Structures. Lecture Notes in Control and Information Sciences, vol. 317. Springer, Heidelberg (2005)zbMATHGoogle Scholar
  15. 15.
    Ramadge, P.J., Wonham, W.M.: The control of discrete event systems. Proceedings of the IEEE 77, 81–98 (1989)CrossRefzbMATHGoogle Scholar
  16. 16.
    Song, R., Leduc, R.J.: Symbolic synthesis and verification of hierarchical interface-based supervisory control. In: Proceedings of 8th International Workshop on Discrete Event Systems, pp. 419–426 (2006)Google Scholar
  17. 17.
    Torlak, E., Jackson, D.: Kodkod: A relational model finder. In: Grumberg, O., Huth, M. (eds.) TACAS 2007. LNCS, vol. 4424, pp. 632–647. Springer, Heidelberg (2007)CrossRefGoogle Scholar
  18. 18.
    Wong, K.C., Wonham, W.M.: Hierarchical control of discrete-event systems. Discrete Event Dynamic Systems: Theory and Applications 6, 241–273 (1996)CrossRefzbMATHGoogle Scholar
  19. 19.
    Wong, K.C., Wonham, W.M.: On the computation of observers in discrete-event systems. Discrete Event Dynamic Systems: Theory and Applications 14, 55–107 (1996)MathSciNetCrossRefzbMATHGoogle Scholar
  20. 20.
    Zhang, Z., Wonham, W.M.: STCT: an efficient algorithm for supervisory control design. In: Caillaud, B., Darondeau, P., Lavagno, L., Xie, X. (eds.) Synthesis and Control of Discrete Event Systems, pp. 77–102. Kluwer Academic Publishers, The Netherlands (2002)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Daniel Côté
    • 1
  • Benoît Fraikin
    • 1
  • Marc Frappier
    • 1
  • Richard St-Denis
    • 1
  1. 1.Département d’informatiqueUniversité de SherbrookeSherbrookeCanada

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