Article | Proceedings of the 56th Conference on Simulation and Modelling (SIMS 56), October, 7-9, 2015, Linköping University, Sweden | Robust Simulation for Hybrid Systems: Chattering Path Avoidance.
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Title:
Robust Simulation for Hybrid Systems: Chattering Path Avoidance.
Author:
Ayman Aljarbouh: INRIA/IRISA Rennes, Campus de Beaulieu, 35042 Rennes Cedex, France Benoit Caillaud: INRIA/IRISA Rennes, Campus de Beaulieu, 35042 Rennes Cedex, France
DOI:
10.3384/ecp15119175
Download:
Full text (pdf)
Year:
2015
Conference:
Proceedings of the 56th Conference on Simulation and Modelling (SIMS 56), October, 7-9, 2015, Linköping University, Sweden
Issue:
119
Article no.:
018
Pages:
175-185
No. of pages:
11
Publication type:
Abstract and Fulltext
Published:
2015-11-25
ISBN:
978-91-7685-900-1
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 sliding mode approach is recognized as an efficient tool for treating the chattering behavior in hybrid systems. However, the amplitude of chattering, by its nature, is proportional to magnitude of discontinuous control. A possible scenario is that the solution trajectories may successively enter and exit as well as slide on switching manifolds of different dimension. Naturally, this arises in dynamical systems and control applications whenever there are multiple discontinuous control variables. The main aim of this paper is to provide a robust computational framework for the most general way to extend a flow map on the intersection of p transversally intersected (n-1)-dimensional switching manifolds in at least p dimensions for any finite (positive) integer p. We explore a new formulation to which we can define unique solutions for such particular behavior in hybrid systems. We illustrate the concepts with examples throughout the paper.

Keywords: hybrid systems; non-smooth dynamical systems; discontinuity mappings; chattering-free simulation; numerical methods

Proceedings of the 56th Conference on Simulation and Modelling (SIMS 56), October, 7-9, 2015, Linköping University, Sweden

Author:
Ayman Aljarbouh, Benoit Caillaud
Title:
Robust Simulation for Hybrid Systems: Chattering Path Avoidance.
DOI:
http://dx.doi.org/10.3384/ecp15119175
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Proceedings of the 56th Conference on Simulation and Modelling (SIMS 56), October, 7-9, 2015, Linköping University, Sweden

Author:
Ayman Aljarbouh, Benoit Caillaud
Title:
Robust Simulation for Hybrid Systems: Chattering Path Avoidance.
DOI:
http://dx.doi.org/10.3384/ecp15119175
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