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18th Mediterranean Conference on Control and Automation, MED'10, Marrakech : Maroc (2010)
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A mathematical explanation via "intelligent" PID controllers of the strange ubiquity of PIDs
Brigitte D'Andrea Novel 1, Michel Fliess 2, 3, Cédric Join 2, 4, Hugues Mounier 5, Bruno Steux 1
(2010-06-23)

The ubiquity of PID controllers in the industry has remained mysterious until now. We provide here a mathematical explanation of this strange phenomenon by comparing their sampling with the the one of "intelligent'' PID controllers, which were recently introduced. Some computer simulations nevertheless confirm the superiority of the new intelligent feedback design.
1:  Centre de CAO et Robotique (CAOR)
MINES ParisTech - École nationale supérieure des mines de Paris
2:  ALIEN (INRIA Saclay - Ile de France/Inria Lille - Nord Europe)
INRIA – Polytechnique - X – Ecole Centrale de Lille – CNRS : UMR8146
3:  Laboratoire d'informatique de l'école polytechnique (LIX)
CNRS : UMR7161 – Polytechnique - X
4:  Centre de recherche en automatique de Nancy (CRAN)
CNRS : UMR7039 – Université Henri Poincaré - Nancy I – Institut National Polytechnique de Lorraine (INPL)
5:  Laboratoire des signaux et systèmes (L2S)
UMR8506 CNRS – SUPELEC – Université Paris XI - Paris Sud
Computer Science/Automatic Control Engineering

Mathematics/Optimization and Control
PID – model-free control – intelligent PID – sampling
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