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DOI: 10.4230/OASIcs.SynCoP.2015.48

Game-based Synthesis of Distributed Controllers for Sampled Switched Systems

Authors: Laurent Fribourg, Ulrich Kühne, and Nicolas Markey

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

Abstract

Switched systems are a convenient formalism for modeling physical processes interacting with a digital controller. Unfortunately, the formalism does not capture the distributed nature encountered e.g. in cyber-physical systems, which are organized as networks of elements interacting with local controllers. Most current methods for control synthesis can only produce a centralized controller, which is assumed to have complete knowledge of all the component states and can interact with all of them. In this paper, we consider a centralized-controller synthesis technique based on state-space decomposition, and use a game-based approach to extend it to a distributed framework.

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Laurent Fribourg, Ulrich Kühne, and Nicolas Markey. Game-based Synthesis of Distributed Controllers for Sampled Switched Systems. In 2nd International Workshop on Synthesis of Complex Parameters (SynCoP'15). Open Access Series in Informatics (OASIcs), Volume 44, pp. 48-62, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)

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@InProceedings{fribourg_et_al:OASIcs.SynCoP.2015.48,
  author =	{Fribourg, Laurent and K\"{u}hne, Ulrich and Markey, Nicolas},
  title =	{{Game-based Synthesis of Distributed Controllers for Sampled Switched Systems}},
  booktitle =	{2nd International Workshop on Synthesis of Complex Parameters (SynCoP'15)},
  pages =	{48--62},
  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-dev.dagstuhl.de/entities/document/10.4230/OASIcs.SynCoP.2015.48},
  URN =		{urn:nbn:de:0030-drops-56091},
  doi =		{10.4230/OASIcs.SynCoP.2015.48},
  annote =	{Keywords: Cyber-physical systems, controller synthesis, games, robustness, partial observation}
}

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DOI: 10.4230/OASIcs.FSFMA.2013.53

Constructing Attractors of Nonlinear Dynamical Systems

Authors: Laurent Fribourg, Ulrich Kühne, and Romain Soulat

Published in: OASIcs, Volume 31, 1st French Singaporean Workshop on Formal Methods and Applications (FSFMA 2013)

Abstract

In a previous work, we have shown how to generate attractor sets of affine hybrid systems using a method of state space decomposition. We show here how to adapt the method to polynomial dynamics systems by approximating them as switched affine systems. We show the practical interest of the method on standard examples of the literature.

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Laurent Fribourg, Ulrich Kühne, and Romain Soulat. Constructing Attractors of Nonlinear Dynamical Systems. In 1st French Singaporean Workshop on Formal Methods and Applications (FSFMA 2013). Open Access Series in Informatics (OASIcs), Volume 31, pp. 53-60, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2013)

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@InProceedings{fribourg_et_al:OASIcs.FSFMA.2013.53,
  author =	{Fribourg, Laurent and K\"{u}hne, Ulrich and Soulat, Romain},
  title =	{{Constructing Attractors of Nonlinear Dynamical Systems}},
  booktitle =	{1st French Singaporean Workshop on Formal Methods and Applications (FSFMA 2013)},
  pages =	{53--60},
  series =	{Open Access Series in Informatics (OASIcs)},
  ISBN =	{978-3-939897-56-9},
  ISSN =	{2190-6807},
  year =	{2013},
  volume =	{31},
  editor =	{Choppy, Christine and Sun, Jun},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/OASIcs.FSFMA.2013.53},
  URN =		{urn:nbn:de:0030-drops-40885},
  doi =		{10.4230/OASIcs.FSFMA.2013.53},
  annote =	{Keywords: Control theory, Hybrid Systems, Nonlinear dynamical systems}
}

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Documents authored by Kühne, Ulrich

Game-based Synthesis of Distributed Controllers for Sampled Switched Systems

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Constructing Attractors of Nonlinear Dynamical Systems

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