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Documents authored by Fribourg, Laurent

Document
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.
Cite as

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}
}
Document
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.
Cite as

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.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}
}
Document
Invited Talk
DOI: 10.4230/OASIcs.FSFMA.2013.1
Control of Switching Systems by Invariance Analysis (Invited Talk)

Authors: Laurent Fribourg

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

Abstract
Switched systems are embedded devices widespread in industrial applications such as power electronics and automotive control. They consist of continuous-time dynamical subsystems and a rule that controls the switching between them. Under a suitable control rule, the system can improve its steady-state performance and meet essential properties such as safety and stability in desirable operating zones. We explain that such controller synthesis problems are related to the construction of appropriate invariants of the state space, which approximate the limit sets of the system trajectories. We present a new approach of invariant construction based on a technique of state space decomposition interleaved with forward fixed point computation. The method is illustrated in a case study taken from the field of power electronics.
Cite as

Laurent Fribourg. Control of Switching Systems by Invariance Analysis (Invited Talk). In 1st French Singaporean Workshop on Formal Methods and Applications (FSFMA 2013). Open Access Series in Informatics (OASIcs), Volume 31, p. 1, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2013)

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@InProceedings{fribourg:OASIcs.FSFMA.2013.1,
  author =	{Fribourg, Laurent},
  title =	{{Control of Switching Systems by Invariance Analysis}},
  booktitle =	{1st French Singaporean Workshop on Formal Methods and Applications (FSFMA 2013)},
  pages =	{1--1},
  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.dagstuhl.de/entities/document/10.4230/OASIcs.FSFMA.2013.1},
  URN =		{urn:nbn:de:0030-drops-40836},
  doi =		{10.4230/OASIcs.FSFMA.2013.1},
  annote =	{Keywords: Control theory, Hybrid systems, Safety, Stability}
}
Document
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.
Cite as

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.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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