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Chattering-Free Simulation for Hybrid Dynamical Systems: Semantics and Prototype Implementation
Centre de Recherche INRIA, Rennes, France. (Hycomes Team, Département D4)
Halmstad University, School of Information Technology, Halmstad Embedded and Intelligent Systems Research (EIS), Centre for Research on Embedded Systems (CERES). (Effective Modeling Group)ORCID iD: 0000-0003-4175-4020
Rice University, Houston, Texas, United States.
Centre de Recherche INRIA, Rennes, France.
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2016 (English)Conference paper, (Refereed)
Abstract [en]

Chattering is a fundamental phenomenon that is unique to hybrid systems, due to the complex interaction between discrete dynamics (in the form of discrete transitions) and continuous dynamics (in the form of time). In practice, simulating chattering hybrid systems is challenging in that simulation effectively halts near the chattering time point, as an infinite number of discrete transitions would need to be simulated. In this paper, formal conditions are provided for when the simulated models of hybrid systems display chattering behavior, and methods are proposed for avoiding chattering “on the fly” in runtime. We utilize dynamical behavior analysis to derive conditions for detecting chattering without enumeration of modes. We also present a new iterative algorithm to allow for solutions to be carried past the chattering point, and we show by a prototypical implementation how to generate the equivalent chattering-free dynamics internally by the simulator in the main simulation loop. The concepts are illustrated with examples throughout the paper.

Place, publisher, year, edition, pages
2016.
Keyword [en]
Hybrid systems, Numerical simulations, Chattering execution, Modeling and simulation, Model verification and completeness
National Category
Computer Science Computational Mathematics
Identifiers
URN: urn:nbn:se:hh:diva-32092OAI: oai:DiVA.org:hh-32092DiVA: diva2:974863
Conference
19th IEEE International Conference on Computational Science and Engineering (CSE 2016), Paris, France, August 24-26, 2016
Funder
Knowledge Foundation
Available from: 2016-09-27 Created: 2016-09-27 Last updated: 2017-01-10

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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf