Abstract
Testing is an important tool for validation of the system design and its implementation. Model-based test generation allows to systematically ascertain whether the system meets its design requirements, particularly the safety and correctness requirements of the system. In this paper, we develop a framework for generating tests from hybrid systems’ models. The core idea of the framework is to develop a notion of robust test, where one nominal test can be guaranteed to yield the same qualitative behavior with any other test that is close to it. Our approach offers three distinct advantages. 1) It allows for computing and formally quantifying the robustness of some properties, 2) it establishes a method to quantify the test coverage for every test case, and 3) the procedure is parallelizable and therefore, very scalable. We demonstrate our framework by generating tests for a navigation benchmark application.
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Dang, T., Maler, O.: Reachability analysis via face lifting. In: Henzinger, T.A., Sastry, S.S. (eds.) HSCC 1998. LNCS, vol. 1386, pp. 96–109. Springer, Heidelberg (1998)
Kurzhanski, A.B., Varaiya, P.: Ellipsoidal technique for reachability analysis. In: Lynch, N.A., Krogh, B.H. (eds.) HSCC 2000. LNCS, vol. 1790, pp. 202–214. Springer, Heidelberg (2000)
Mitchell, I., Tomlin, C.J.: Level set methods in for computation in hybrid systems. In: Lynch, N.A., Krogh, B.H. (eds.) HSCC 2000. LNCS, vol. 1790, pp. 310–323. Springer, Heidelberg (2000)
Alur, R., Dang, T., Ivancic, F.: Reachability analysis of hybrid systems via predicate abstraction. In: Tomlin, C.J., Greenstreet, M.R. (eds.) HSCC 2002. LNCS, vol. 2289, pp. 35–48. Springer, Heidelberg (2002)
Han, Z., Krogh, B.H.: Reachability analysis of hybrid control systems using reduced-order. In: Proc. American Control Conference, pp. 1183–1189 (2004)
Prajna, S., Jadbabaie, A.: Safety verification of hybrid systems using barrier certificates. In: Alur, R., Pappas, G.J. (eds.) HSCC 2004. LNCS, vol. 2993, pp. 477–492. Springer, Heidelberg (2004)
Frehse, G.: PHAVer: Algorithmic verification of hybrid systems past HyTech. In: Morari, M., Thiele, L. (eds.) HSCC 2005. LNCS, vol. 3414, pp. 258–273. Springer, Heidelberg (2005)
Girard, A.: Reachability of uncertain linear systems using zonotopes. In: Morari, M., Thiele, L. (eds.) HSCC 2005. LNCS, vol. 3414, pp. 291–305. Springer, Heidelberg (2005)
Fehnker, A., Ivancic, F.: Benchmarks for hybrid systems verification. In: Alur, R., Pappas, G.J. (eds.) HSCC 2004. LNCS, vol. 2993, pp. 326–341. Springer, Heidelberg (2004)
Esposito, J.M.: Randomized test case generation for hybrid systems: metric selection. In: Proc. 36th Southeastern Symposium of System Theory (2004)
Branicky, M.S., et al.: RRTs for nonlinear, discrete, and hybrid planning and control. In: Proc. IEEE Conf. Decision and Control, Hawaii, USA, IEEE Computer Society Press, Los Alamitos (2003)
van Osch, M.: Automated model-based testing of χ simulation models with TorX. In: Reussner, R., et al. (eds.) QoSA 2005 and SOQUA 2005. LNCS, vol. 3712, pp. 227–241. Springer, Heidelberg (2005)
Esposito, J.M.: Automated test trajectory for hybrid systems. In: Proc. 35th Southeastern Symposium of System Theory (2003)
Tan, L., Kim, J., Lee, I.: Testing and monitoring model-based generated program. Electronic Notes in Theoretical Computer Science 89(2) (2003), http://www.elsevier.nl/locate/lntcs/volume89.html
Hong, H.S., et al.: A temporal logic based theory of test coverage and generation. In: Katoen, J.-P., Stevens, P. (eds.) ETAPS 2002 and TACAS 2002. LNCS, vol. 2280, pp. 327–341. Springer, Heidelberg (2002)
Alur, R., et al.: The algorithmic analysis of hybrid systems. Theoretical Computer Science 138, 3–34 (1995)
Girard, A., Pappas, G.J.: Approximation metrics for discrete and continuous systems. Accepted for publication on IEEE Trans. Automatic Control (March 2005)
Lohmiller, W., Slotine, J.J.E.: On contraction analysis for nonlinear systems. Automatica 34(6), 683–696 (1998)
Aylward, E., Parillo, P.A., Slotine, J.J.E.: Algorithmic search for contraction metrics via sos programming. In: Proc. American Control Conference, Minneapolis, USA (2006)
Brogan, W.L.: Modern control theory. Prentice Hall International, New Jersey (1991)
LaValle, S.M.: Planning algorithms. Cambridge University Press, Cambridge (2006)
Makhlouf, I.B., Kowalewski, S.: An evaluation of two recent reachability analysis tools for hybrid systems. In: Proc. IFAC Conf. Analysis and Design of Hybrid Systems, Alghero, Italy, pp. 377–382. IFAC (2006)
Fainekos, G.E., Girard, A., Pappas, G.J.: Temporal logic verification using simulation. In: Asarin, E., Bouyer, P. (eds.) FORMATS 2006. LNCS, vol. 4202, pp. 171–186. Springer, Heidelberg (2006)
Julius, A.A.: Approximate abstraction of stochastic hybrid automata. In: Hespanha, J.P., Tiwari, A. (eds.) HSCC 2006. LNCS, vol. 3927, pp. 318–332. Springer, Heidelberg (2006)
D’Innocenzo, A., Di Benedetto, M.D., Di Gennaro, S.: Observability of hybrid automata by abstraction. In: Hespanha, J.P., Tiwari, A. (eds.) HSCC 2006. LNCS, vol. 3927, pp. 169–183. Springer, Heidelberg (2006)
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Julius, A.A., Fainekos, G.E., Anand, M., Lee, I., Pappas, G.J. (2007). Robust Test Generation and Coverage for Hybrid Systems. In: Bemporad, A., Bicchi, A., Buttazzo, G. (eds) Hybrid Systems: Computation and Control. HSCC 2007. Lecture Notes in Computer Science, vol 4416. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71493-4_27
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DOI: https://doi.org/10.1007/978-3-540-71493-4_27
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