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DOI: 10.4230/OASIcs.SynCoP.2015.33

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

Authors: Adrien Le Coënt, Florian de Vuyst, Christian Rey, Ludovic Chamoin, and Laurent Fribourg

Published in: OASIcs, Volume 44, 2nd International Workshop on Synthesis of Complex Parameters (SynCoP'15) (2015)

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.

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Adrien Le Coënt, Florian de Vuyst, Christian Rey, Ludovic Chamoin, and Laurent Fribourg. Guaranteed control of switched control systems using model order reduction and state-space bisection. In 2nd International Workshop on Synthesis of Complex Parameters (SynCoP'15). Open Access Series in Informatics (OASIcs), Volume 44, pp. 32-46, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)

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@InProceedings{lecoent_et_al:OASIcs.SynCoP.2015.33,
  author =	{Le Co\"{e}nt, Adrien and de Vuyst, Florian and Rey, Christian and Chamoin, Ludovic and Fribourg, Laurent},
  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 =	{32--46},
  series =	{Open Access Series in Informatics (OASIcs)},
  ISBN =	{978-3-939897-82-8},
  ISSN =	{2190-6807},
  year =	{2015},
  volume =	{44},
  editor =	{Andr\'{e}, \'{E}tienne and Frehse, Goran},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/OASIcs.SynCoP.2015.33},
  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}
}

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

Abstract

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