License: Creative Commons Attribution 3.0 Unported license (CC-BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/OASIcs.SynCoP.2015.33
URN: urn:nbn:de:0030-drops-56089
URL: https://drops.dagstuhl.de/opus/volltexte/2015/5608/
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Le Co├źnt, Adrien ; de Vuyst, Florian ; Rey, Christian ; Chamoin, Ludovic ; Fribourg, Laurent

Guaranteed control of switched control systems using model order reduction and state-space bisection

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Abstract

This paper considers discrete-time linear systems controlled by a quantized law, i.e., a piecewise constant time function taking a finite set of values. We show how to generate the control by, first, applying model reduction to the original system, then using a "state-space bisection" method for synthesizing a control at the reduced-order level, and finally computing an upper bound to the deviations between the controlled output trajectories of the reduced-order model and those of the original model. The effectiveness of our approach is illustrated on several examples of the literature.

BibTeX - Entry

@InProceedings{lecont_et_al:OASIcs:2015:5608,
  author =	{Adrien Le Co{\"e}nt and Florian de Vuyst and Christian Rey and Ludovic Chamoin and Laurent Fribourg},
  title =	{{Guaranteed control of switched control systems using model order reduction and state-space bisection}},
  booktitle =	{2nd International Workshop on Synthesis of Complex Parameters (SynCoP'15)},
  pages =	{33--47},
  series =	{OpenAccess Series in Informatics (OASIcs)},
  ISBN =	{978-3-939897-82-8},
  ISSN =	{2190-6807},
  year =	{2015},
  volume =	{44},
  editor =	{{\'E}tienne Andr{\'e} and Goran Frehse},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2015/5608},
  URN =		{urn:nbn:de:0030-drops-56089},
  doi =		{10.4230/OASIcs.SynCoP.2015.33},
  annote =	{Keywords: Model Order Reduction, guaranteed control, stability control, reachability control, error bounding}
}

Keywords: Model Order Reduction, guaranteed control, stability control, reachability control, error bounding
Collection: 2nd International Workshop on Synthesis of Complex Parameters (SynCoP'15)
Issue Date: 2015
Date of publication: 03.12.2015


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