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Simulation of hybrid systems

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Hybrid Systems IV (HS 1996)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1273))

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Abstract

Hybrid systems-those composed of the interaction of discrete and continuous inputs, outputs, states, and dynamic equations-are an important class of models of complex, real-world phenomena. However, the simulation tools currently available seem to be (1) ad hoc retro fitting of existing packages, (2) hastily-built new languages, or (3) specialized software for particular subclasses (e.g., piecewise-constant dynamics). Our goal is to produce fast, high fidelity simulations of (networks of) a very broad class of hybrid systems in a user-friendly environment. In this paper, we first review expertise in the mathematical modeling of hybrid systems, viz. the hybrid dynamical systems of Branicky (HDS). Also, we discuss the object-oriented modeling and simulation of combined discrete/continuous systems using the Omola modeling language and Omsim simulation environment developed over the last eight years at Lund. Leveraging these, we are led to our main contribution: a general set of hybrid systems model classes which encompass HDS and hence several other models popularized in the literature that combine finite automata and discrete event systems with ordinary differential (ODES) and differential algebraic equations (DAEs). These Omola model classes may be viewed as “templates” or “macros” for quick and easy entering of hybrid systems for subsequent analysis and numerically-sophisticated simulation using Omsim.

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Author information

Authors and Affiliations

  1. Dept. of Electrical Eng. and Applied Physics, Case Western Reserve U., 10900 Euclid Ave. Glennan 515B, 44106-7221, Cleveland, OH

    Michael S. Branicky

  2. Dept. of Automatic Control, Lund Institute of Technology, PO Box 118, S-221 00, Lund, Sweden

    Sven Erik Mattsson

Authors
  1. Michael S. Branicky
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  2. Sven Erik Mattsson
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Editor information

Panos Antsaklis Wolf Kohn Anil Nerode Shankar Sastry

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© 1997 Springer-Verlag Berlin Heidelberg

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Branicky, M.S., Mattsson, S.E. (1997). Simulation of hybrid systems. In: Antsaklis, P., Kohn, W., Nerode, A., Sastry, S. (eds) Hybrid Systems IV. HS 1996. Lecture Notes in Computer Science, vol 1273. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0031554

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  • DOI: https://doi.org/10.1007/BFb0031554

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63358-7

  • Online ISBN: 978-3-540-69523-3

  • eBook Packages: Springer Book Archive

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