skip to main content
10.1145/2185632.2185676acmconferencesArticle/Chapter ViewAbstractPublication PagescpsweekConference Proceedingsconference-collections
research-article

Computing bounded reach sets from sampled simulation traces

Authors Info & Claims
Published:17 April 2012Publication History

ABSTRACT

This paper presents an algorithm which uses simulation traces and formal models for computing overapproximations of reach sets of deterministic hybrid systems. The implementation of the algorithm in a tool, Hybrid Trace Verifier (HTV), uses Mathwork's Simulink/Stateflow (SLSF) environment for generating simulation traces and for obtaining formal models. Computation of the overapproximation relies on computing error bounds in the dynamics obtained from the formal model. Verification results from three case studies, namely, a version of the navigation benchmark, an engine control system, and a satellite system suggest that this combined formal analysis and simulation based approach may scale to larger problems.

References

  1. Y. Annapureddy, C. Liu, G. Fainekos, and S. Sankaranarayanan. S-taliro: A tool for temporal logic falsification for hybrid systems. In TACAS, 2011. Google ScholarGoogle ScholarDigital LibraryDigital Library
  2. E. Asarin, O. Bournez, T. Dang, and O. Maler. Approximate reachability analysis of piecewise-linear dynamical systems. In HSCC, volume 1790, pages 20--31, 2000. Google ScholarGoogle ScholarDigital LibraryDigital Library
  3. O. Bouissou and M. Martel. Grklib: a guaranteed runge kutta library. In IMACS, 2006. Google ScholarGoogle ScholarDigital LibraryDigital Library
  4. T. Dang and O. Maler. Reachability analysis via face lifting. In HSCC. Springer-Verlag, 1998. Google ScholarGoogle ScholarDigital LibraryDigital Library
  5. G. E. Fainekos and G. J. Pappas. Robustness of temporal logic specifications for continuous-time signals. TCS, 410:4262--4291, September 2009. Google ScholarGoogle ScholarDigital LibraryDigital Library
  6. A. Fehnker and F. Ivancic. Benchmarks for hybrid systems verification. In R. Alur and G. J. Pappas, editors, HSCC, volume 2993 of LNCS, pages 326--341. Springer, 2004.Google ScholarGoogle Scholar
  7. A. A. Julius, G. E. Fainekos, M. Anand, I. Lee, and G. J. Pappas. Robust test generation and coverage for hybrid systems. In A. Bemporad, A. Bichi, and G. Buttazzo, editors, HSCC, volume 4416 of LNCS, pages 329--342. Springer, 2007. Google ScholarGoogle ScholarDigital LibraryDigital Library
  8. A. Kanade, R. Alur, F. Ivancic, S. Ramesh, S. Sankaranarayanan, and K. Shashidhar. Generating and analyzing symbolic traces of simulink/stateflow models. In CAV, 2009. Google ScholarGoogle ScholarDigital LibraryDigital Library
  9. D. K. Kaynar, N. Lynch, R. Segala, and F. Vaandrager. The Theory of Timed I/O Automata. Synthesis Lectures on Computer Science. Morgan Claypool, November 2005. Also available as Technical Report MIT-LCS-TR-917. Google ScholarGoogle ScholarDigital LibraryDigital Library
  10. K.-D. Kim, S. Mitra, and P. R. Kumar. Bounded epsilon-reachability of linear hybrid automata with a deterministic and transversal discrete transition condition. In CDC, 2010.Google ScholarGoogle Scholar
  11. K. Manamcheri. Translation of simulink/stateflow models to hybrid automata. Master's thesis, University of Illinois at Urbana-Champaign, 2011.Google ScholarGoogle Scholar
  12. K. Manamcheri, S. Mitra, S. Bak, and M. Caccamo. A step towards verification and synthesis from simulink/stateflow models. In HSCC, 2011. Google ScholarGoogle ScholarDigital LibraryDigital Library
  13. S. Mitra. A Verification Framework for Hybrid Systems. PhD thesis, Massachusetts Institute of Technology, Cambridge, MA 02139, September 2007. Google ScholarGoogle ScholarDigital LibraryDigital Library

Index Terms

  1. Computing bounded reach sets from sampled simulation traces

          Recommendations

          Comments

          Login options

          Check if you have access through your login credentials or your institution to get full access on this article.

          Sign in
          • Published in

            cover image ACM Conferences
            HSCC '12: Proceedings of the 15th ACM international conference on Hybrid Systems: Computation and Control
            April 2012
            308 pages
            ISBN:9781450312202
            DOI:10.1145/2185632

            Copyright © 2012 ACM

            Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

            Publisher

            Association for Computing Machinery

            New York, NY, United States

            Publication History

            • Published: 17 April 2012

            Permissions

            Request permissions about this article.

            Request Permissions

            Check for updates

            Qualifiers

            • research-article

            Acceptance Rates

            Overall Acceptance Rate153of373submissions,41%

          PDF Format

          View or Download as a PDF file.

          PDF

          eReader

          View online with eReader.

          eReader