Article | The First Japanese Modelica Conferences, May 23-24, Tokyo, Japan | Chattering-Free Simulation of Hybrid Dynamical Systems with the Function Mock-Up Interface 2.0
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Title:
Chattering-Free Simulation of Hybrid Dynamical Systems with the Function Mock-Up Interface 2.0
Author:
Ayman Aljarbouh: Centre de Recherche INRIA-IRISA, Campus de Beaulieu, France Benoit Caillaud: Centre de Recherche INRIA-IRISA, Campus de Beaulieu, France
DOI:
10.3384/ecp1612495
Download:
Full text (pdf)
Year:
2016
Conference:
The First Japanese Modelica Conferences, May 23-24, Tokyo, Japan
Issue:
124
Article no.:
013
Pages:
95-105
No. of pages:
11
Publication type:
Abstract and Fulltext
Published:
2016-05-18
ISBN:
978-91-7685-749-6
Series:
Linköping Electronic Conference Proceedings
ISSN (print):
1650-3686
ISSN (online):
1650-3740
Publisher:
Linköping University Electronic Press, Linköpings universitet


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The numerical simulation of non-smooth hybrid systems exhibiting chattering behavior requires high computational costs. In the worst case, the simulation appears to come to a halt, since infinitely many discrete transitions would need to be simulated. In this paper we present an FMI-based framework and prototypical implementation for robust and reliable detection and elimination ‚ÄúOn the Fly‚ÄĚ of chattering behavior in run-time simulation of non-smooth hybrid systems. The main benefit of the developed framework is that it establishes solvability requirements and theorems for simulating hybrid systems while performing the chattering path avoidance internally in the master algorithm of the interface. This increases the efficiency of the chattering-free simulation as no enumeration of modes is required during the chattering detection and elimination process. The developed FMI-based framework can generate a chattering-free simulation for any generic chattering Functional Mockup Unit (FMU) conforming to the FMI standard v2.0 Specification for model exchange.

Keywords: Functional Mockup Interface (FMI), Functional Mockup Unit (FMU), Non-smooth Hybrid systems, Discontinuity mappings, Chattering

The First Japanese Modelica Conferences, May 23-24, Tokyo, Japan

Author:
Ayman Aljarbouh, Benoit Caillaud
Title:
Chattering-Free Simulation of Hybrid Dynamical Systems with the Function Mock-Up Interface 2.0
DOI:
http://dx.doi.org/10.3384/ecp1612495
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The First Japanese Modelica Conferences, May 23-24, Tokyo, Japan

Author:
Ayman Aljarbouh, Benoit Caillaud
Title:
Chattering-Free Simulation of Hybrid Dynamical Systems with the Function Mock-Up Interface 2.0
DOI:
http://dx.doi.org/10.3384/ecp1612495
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Last updated: 2017-02-21