Abstract
Whenever continuous dynamics and discrete control interact, hybrid systems arise. As hybrid systems become ubiquitous and more and more complex, analysis and synthesis techniques are in high demand to design safe hybrid systems. This is however challenging due to the nature of hybrid systems and their designs, and the question of how to formulate and reason their safety problems. Previous work has demonstrated how to extend the discrete modeling language Event-B with continuous support to integrate traditional refinement in hybrid system design. In the same spirit, we extend previous work by proposing a strategy that can coherently refine an abstract hybrid system design with safety constraints down to a concrete one, integrated with implementable discrete control, that can behave safely. We demonstrate our proposal on a smart heating system that regulates room temperature between two references, and we share our experience.
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Notes
- 1.
The notation we used in this paper are in traditional set theory. For example,
means relational override, and 
means domain restriction.
means relational override, and 
means domain restriction.References
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This work is supported by grant ANR-17-CE25-0005 (The DISCONT Project http://discont.loria.fr) from the Agence Nationale de la Recherche.
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Cheng, Z., Méry, D. (2021). A Refinement Strategy for Hybrid System Design with Safety Constraints. In: Attiogbé, C., Ben Yahia, S. (eds) Model and Data Engineering. MEDI 2021. Lecture Notes in Computer Science(), vol 12732. Springer, Cham. https://doi.org/10.1007/978-3-030-78428-7_1
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