Hybrid MARTE statecharts

Abstract

The specification of modeling and analysis of real-time and embedded systems (MARTE) is an extension of the unified modeling language (UML) in the domain of real-time and embedded systems. Even though MARTE time model offers a support to describe both discrete and dense clocks, the biggest effort has been put so far on the specification and analysis of discrete MARTE models. To address hybrid real-time and embedded systems, we propose to extend statecharts using both MARTE and the theory of hybrid automata. We call this extension hybrid MARTE statecharts. It provides an improvement over the hybrid automata in that: the logical time variables and the chronometric time variables are unified. The formal syntax and semantics of hybrid MARTE statecharts are given based on labeled transition systems and live transition systems. As a case study, we model the behavior of a train control system with hybrid MARTE statecharts to demonstrate the benefit.

Keywords

UML / MARTE / hybrid automata / hybrid MARTE statechart / train control system

References

[1] UML superstructure specification v2.2. Object Management Group, 2004

[2] Selic B. A systematic approach to domain-specific language design using UML. In: Proceedings of the 10th IEEE International Symposium on Object and Component-Oriented Real-Time Distributed Computing. 2007, 2-9

[3] Thoen F, Catthoor F. Modeling, verification, and exploration of tasklevel concurrency of real-time embedded systems. Kluwer Academic Publishers, 2000

[4] UML Profile for MARTE, v1.0. Object Management Group, 2009

[5] UML profile for schedulability, performance, and time specification, v1.1, 2005

[6] André C, Mallet F, De Simone R. Modeling time (s). In: Proceedings of the 10th Internation Conference of Model Driven Engineering Languages and Systems. LNCS, 2007, 4735: 559-573

[7] Benveniste A, Caspi P, Edwards S A, Halbwachs N, Guernic P L, Simoned R. The synchronous languages 12 years later. Proceedings of the IEEE, 2003, 91(1): 64-83

[8] André C, Mallet F, Peraldi-Frati M. A multiform time approach to realtime system modeling; application to an automotive system. In: Proceedings of the 2007 International Symposium on Industrial Embedded Systems. SIES’07. 234-241

[9] André C. Syntax and semantics of the clock constraint specification language (CCSL). 2009

[10] Mallet F. Clock constraint specification language: specifying clock constraints with uml/marte. Innovations in Systems and Software Engineering, 2008, 4(3): 309-314

[11] Schaft V. d A, Schumacher H. An introduction to hybrid dynamical systems (Lecture Notes in Control and Information Sciences, 251). Springer

[12] Lygeros J, Lynch N. Strings of vehicles: modeling and safety conditions. Hybrid Systems: Computation and Control, 1998, 273-288

[13] Casagrande A, Piazza C, Policriti A, Mishra B. Inclusion dynamics hybrid automata. Information and Computation, 2008, 206(12): 1394-1424

[14] Harel D. Statecharts: a visual formalism for complex systems. Science of computer programming, 1987, 8(3): 231-274

[15] Lu H, Yu S. Are statecharts finite automata? Implementation and Application of Automata, 2009, 258-261

[16] Sourrouille J, Caplat G. Constraint checking in UML modeling. In: Proceedings of the 14th International Conference on Software Engineering and Knowledge Engineering. 2002, 217-224

[17] Edalat A, Krznaric M, Lieutier A. Domain-theoretic solution of differential equations (scalar fields). In: Proceedings of the 19th Conference on the Mathematical Foundations of Programming Semantics. 2006, 83

[18] Grosu R, Smolka S. Safety-liveness semantics for UML 2.0 sequence diagrams. In: Proceedings of the 5th International Conference on Application of Concurrency to System Design. 2005, 6-14

[19] Henzinger T, Kopke P, Wong-Toi H. The expressive power of clocks. Automata, Languages and Programming, 1995, 417-428

[20] Henzinger T. Sooner is safer than later. Information Processing Letters, 1992, 43(3): 135-141

[21] IEEE recommended practice for communications-based train control (CBTC) system design and functional allocations, 2008. IEEE Std 1474.3-2008

[22] Lee E, Tripakis S. Modal models in ptolemy. In: Proceedings of the 3rd International Workshop on Equation-Based Object-Oriented Modeling Languages and Tools (EOOLT). 2010, 11-21

RIGHTS & PERMISSIONS

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg