Formal Specification of Hybrid MARTE Statecharts

The specification of Modeling and Analysis of Real-time and Embedded Systems (MARTE) is an extension of UML in the domain of Real-Time and Embedded Systems. However, unified modeling of continuous and discrete variables in MARTE is still an unsolved problem for hybrid real-time system development. In this paper we propose an extended statechart, Hybrid MARTE statechart, for Modeling and Analyzing of Hybrid Real-time and Embedded systems. In Hybrid MARTE Statecharts, we unify the logical time and the chronometric time variables. The improvement of MARTE statechart is based on hybrid automata. Formal syntax and semantics of Hybrid MARTE statecharts is given based on labeled transition systems. At the end of this paper, a case study is given to show how to model the behavior of a Train Control System with Hybrid MARTE statecharts.