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.2015.91
URN: urn:nbn:de:0030-drops-56125
URL: https://drops.dagstuhl.de/opus/volltexte/2015/5612/
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Alexandre dit Sandretto, Julien ; Chapoutot, Alexandre ; Mullier, Olivier

Tuning PI controller in non-linear uncertain closed-loop systems with interval analysis

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Abstract

The tuning of a PI controller is usually done through simulation, except for few classes of problems, e.g., linear systems. With a new approach for validated integration allowing us to simulate dynamical systems with uncertain parameters, we are able to design guaranteed PI controllers. In practical, we propose a new method to identify the parameters of a PI controller for non-linear plants with bounded uncertain parameters using tools from interval analysis and validated simulation. This work relies on interval computation and guaranteed numerical integration of ordinary differential equations based on Runge-Kutta methods. Our method is applied to the well-known cruise-control problem, under a simplified linear version and with the aerodynamic force taken into account leading to a non-linear formulation.

BibTeX - Entry

@InProceedings{alexandreditsandretto_et_al:OASIcs:2015:5612,
  author =	{Julien Alexandre dit Sandretto and Alexandre Chapoutot and Olivier Mullier},
  title =	{{Tuning PI controller in non-linear uncertain closed-loop systems with interval analysis}},
  booktitle =	{2nd International Workshop on Synthesis of Complex Parameters (SynCoP'15)},
  pages =	{91--102},
  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/2015/5612},
  URN =		{urn:nbn:de:0030-drops-56125},
  doi =		{10.4230/OASIcs.SynCoP.2015.91},
  annote =	{Keywords: PID Tuning, Guaranteed numerical integration, non-linear ordinary differential equations}
}

Keywords: PID Tuning, Guaranteed numerical integration, non-linear ordinary differential equations
Collection: 2nd International Workshop on Synthesis of Complex Parameters (SynCoP'15)
Issue Date: 2015
Date of publication: 03.12.2015


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