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Simulation of Stiff Hybrid Systems with One-Sided Events and Nonsmooth Boundaries

  • Yury V. ShornikovEmail author
  • Maria S. Nasyrova
  • Dmitry N. Dostovalov
Chapter
  • 735 Downloads
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 343)

Abstract

Different classes of modal behavior of hybrid systems (HS) are considered. Architecture of instrumental environment is designed in accordance with CSSL standard. Library of original numerical solvers, embedded in simulation environment, is presented. Theorem about the choice of the integration step considering the HS event function dynamic has been formulated and proved. Algorithm of accurate HS event detection with implicit continuous behavior models is designed. Examples of specification and analysis of different hybrid systems models is given.

Keywords

Computer aided analysis Software architecture Numerical simulation Differential equations Event detection and circuit simulation 

Notes

Acknowledgments

This work was supported by grant 14-01-00047-а from the Russian Foundation for Basic Research, RAS Presidium project № 15.4 “Mathematical modeling, analysis and optimization of hybrid systems”. Yu.V. Shornikov is with the Design Technological Institute of Digital Techniques Siberian Branch of Russian Academy of Science, Novosibirsk, Russia (e-mail: shornikov@inbox.ru). M.S. Myssak, D.N. Dostovalov is with the Department of Automated Control Systems, Novosibirsk State Technical University, Novosibirsk, Russia (e-mails: maria.myssak@gmail.com, dostovalov.dmitr@gmail.com).

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Yury V. Shornikov
    • 1
    • 2
    Email author
  • Maria S. Nasyrova
    • 1
  • Dmitry N. Dostovalov
    • 1
    • 2
  1. 1.Novosibirsk State Technical UniversityNovosibirskRussia
  2. 2.Design Technological Institute of Digital Techniques SB RASNovosibirskRussia

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