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Controllers with Minimal Observation Power (Application to Timed Systems)

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Automated Technology for Verification and Analysis (ATVA 2012)

Abstract

We consider the problem of controller synthesis under imperfect information in a setting where there is a set of available observable predicates equipped with a cost function. The problem that we address is the computation of a subset of predicates sufficient for control and whose cost is minimal. Our solution avoids a full exploration of all possible subsets of predicates and reuses some information between different iterations. We apply our approach to timed systems. We have developed a tool prototype and analyze the performance of our optimization algorithm on two case studies.

Partly supported by ANR project ECSPER (JC09- 472677), ERC Starting Grant inVEST-279499, Danish-Chinese Center for Cyber Physical Systems (IDEA4CPS) and VKR Center of Excellence MT-LAB.

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References

  1. AlAttili, I., Houben, F., Igna, G., Michels, S., Zhu, F., Vaandrager, F.W.: Adaptive scheduling of data paths using uppaal tiga. In: QFM, pp. 1–11 (2009)

    Google Scholar 

  2. Alur, R., Dill, D.L.: A theory of timed automata. Theoretical Computer Science 126, 183–235 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  3. Behrmann, G., Cougnard, A., David, A., Fleury, E., Larsen, K.G., Lime, D.: UPPAAL-Tiga: Time for Playing Games! In: Damm, W., Hermanns, H. (eds.) CAV 2007. LNCS, vol. 4590, pp. 121–125. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  4. Bouyer, P., Brihaye, T., Bruyre, V., Raskin, J.-F.: On the optimal reachability problem of weighted timed automata. Formal Methods in System Design 31(2), 135–175 (2007)

    Article  MATH  Google Scholar 

  5. Bouyer, P., Cassez, F., Fleury, E., Larsen, K.G.: Optimal Strategies in Priced Timed Game Automata. In: Lodaya, K., Mahajan, M. (eds.) FSTTCS 2004. LNCS, vol. 3328, pp. 148–160. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  6. Bouyer, P., D’Souza, D., Madhusudan, P., Petit, A.: Timed Control with Partial Observability. In: Hunt Jr., W.A., Somenzi, F. (eds.) CAV 2003. LNCS, vol. 2725, pp. 180–192. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  7. Brihaye, T., Bruyère, V., Raskin, J.-F.: On Optimal Timed Strategies. In: Pettersson, P., Yi, W. (eds.) FORMATS 2005. LNCS, vol. 3829, pp. 49–64. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  8. Cassez, F., David, A., Larsen, K.G., Lime, D., Raskin, J.-F.: Timed Control with Observation Based and Stuttering Invariant Strategies. In: Namjoshi, K.S., Yoneda, T., Higashino, T., Okamura, Y. (eds.) ATVA 2007. LNCS, vol. 4762, pp. 192–206. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  9. Cassez, F., David, A., Fleury, E., Larsen, K.G., Lime, D.: Efficient On-the-Fly Algorithms for the Analysis of Timed Games. In: Abadi, M., de Alfaro, L. (eds.) CONCUR 2005. LNCS, vol. 3653, pp. 66–80. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  10. Cassez, F., Jessen, J.J., Larsen, K.G., Raskin, J.-F., Reynier, P.-A.: Automatic Synthesis of Robust and Optimal Controllers – An Industrial Case Study. In: Majumdar, R., Tabuada, P. (eds.) HSCC 2009. LNCS, vol. 5469, pp. 90–104. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  11. Cesta, A., Finzi, A., Fratini, S., Orlandini, A., Tronci, E.: Flexible Timeline-Based Plan Verification. In: Mertsching, B., Hund, M., Aziz, Z. (eds.) KI 2009. LNCS, vol. 5803, pp. 49–56. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  12. Chatterjee, K., Henzinger, T.A., Jobstmann, B., Singh, R.: QUASY: Quantitative Synthesis Tool. In: Abdulla, P.A., Leino, K.R.M. (eds.) TACAS 2011. LNCS, vol. 6605, pp. 267–271. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  13. Chatterjee, K., Majumdar, R., Henzinger, T.A.: Controller Synthesis with Budget Constraints. In: Egerstedt, M., Mishra, B. (eds.) HSCC 2008. LNCS, vol. 4981, pp. 72–86. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  14. Dimitrova, R., Finkbeiner, B.: Abstraction refinement for games with incomplete information. In: FSTTCS. LIPIcs, vol. 2, pp. 175–186. Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik (2008)

    Google Scholar 

  15. Henzinger, T.A., Jhala, R., Majumdar, R.: Counterexample-guided Control. In: Baeten, J.C.M., Lenstra, J.K., Parrow, J., Woeginger, G.J. (eds.) ICALP 2003. LNCS, vol. 2719, pp. 886–902. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  16. Majumdar, R., Tabuada, P. (eds.): HSCC 2009. LNCS, vol. 5469. Springer, Heidelberg (2009)

    Google Scholar 

  17. Maler, O., Pnueli, A., Sifakis, J.: On the Synthesis of Discrete Controllers for Timed Systems. In: Mayr, E.W., Puech, C. (eds.) STACS 1995. LNCS, vol. 900, pp. 229–242. Springer, Heidelberg (1995)

    Chapter  Google Scholar 

  18. Maler, O., Pnueli, A., Sifakis, J.: On the Synthesis of Discrete Controllers for Timed Systems (An Extended Abstract). In: Mayr, E.W., Puech, C. (eds.) STACS 1995. LNCS, vol. 900, pp. 229–242. Springer, Heidelberg (1995)

    Chapter  Google Scholar 

  19. Malinowski, J., Niebert, P., Reynier, P.-A.: A Hierarchical Approach for the Synthesis of Stabilizing Controllers for Hybrid Systems. In: Bultan, T., Hsiung, P.-A. (eds.) ATVA 2011. LNCS, vol. 6996, pp. 198–212. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  20. Orlandini, A., Finzi, A., Cesta, A., Fratini, S.: TGA-Based Controllers for Flexible Plan Execution. In: Bach, J., Edelkamp, S. (eds.) KI 2011. LNCS, vol. 7006, pp. 233–245. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  21. Raskin, J.-F., Chatterjee, K., Doyen, L., Henzinger, T.A.: Algorithms for omega-regular games with imperfect information. Logical Methods in Computer Science 3(3) (2007)

    Google Scholar 

  22. Reif, J.H.: The complexity of two-player games of incomplete information. Journal of Computer and System Sciences 29(2), 274–301 (1984)

    Article  MathSciNet  MATH  Google Scholar 

  23. Zwick, U., Paterson, M.: The complexity of mean payoff games on graphs. Theoretical Computer Science 158, 343–359 (1996)

    Article  MathSciNet  MATH  Google Scholar 

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Bulychev, P., Cassez, F., David, A., Larsen, K.G., Raskin, JF., Reynier, PA. (2012). Controllers with Minimal Observation Power (Application to Timed Systems). In: Chakraborty, S., Mukund, M. (eds) Automated Technology for Verification and Analysis. ATVA 2012. Lecture Notes in Computer Science, vol 7561. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33386-6_19

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  • DOI: https://doi.org/10.1007/978-3-642-33386-6_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33385-9

  • Online ISBN: 978-3-642-33386-6

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