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Journal Articles Proceedings of the IEEE Year : 2018

Building a Hybrid Systems Modeler on Synchronous Languages Principles


Hybrid systems modeling languages that mix discrete and continuous time signals and systems are widely used to develop Cyber-Physical systems where control software interacts with physical devices. Compilers play a central role, statically checking source models, generating intermediate representations for testing and verification, and producing sequential code for simulation and execution on target platforms.This paper presents a novel approach to the design and implementation of a hybrid systems language, built on synchronous language principles and their proven compilation techniques. The result is a hybrid systems modeling language in which synchronous programming constructs can be mixed with Ordinary Differential Equations (ODEs) and zero-crossing events, and a runtime that delegates their approximation to an off-the-shelf numerical solver.We propose an ideal semantics based on non standard analysis, which defines the execution of a hybrid model as an infinite sequence of infinitesimally small time steps. It is used to specify and prove correct three essential compilation steps: (1) a type system that guarantees that a continuous-time signal is never used where a discrete-time one is expected and conversely; (2) a type system that ensures the absence of combinatorial loops; (3) the generation of statically scheduled code for efficient execution.Our approach has been evaluated in two implementations: the academic language Zélus, which extends a language reminiscent of Lustre with ODEs and zero-crossing events, and the industrial prototype Scade Hybrid, a conservative extension of Scade 6.
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hal-01879026 , version 1 (21-09-2018)



Albert Benveniste, Timothy Bourke, Benoit Caillaud, Jean-Louis Colaço, Cédric Pasteur, et al.. Building a Hybrid Systems Modeler on Synchronous Languages Principles. Proceedings of the IEEE, 2018, Design Automation for Cyber-Physical Systems, 106 (9), pp.1568 - 1592. ⟨10.1109/JPROC.2018.2858016⟩. ⟨hal-01879026⟩
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