A mathematical explanation via "intelligent" PID controllers of the strange ubiquity of PIDs

Brigitte D'Andréa-Novel 1 Michel Fliess 2, 3 Cédric Join 2, 4 Hugues Mounier 5 Bruno Steux 1
1 CAOR - Centre de Robotique
2 ALIEN - Algebra for Digital Identification and Estimation
Inria Lille - Nord Europe, Inria Saclay - Ile de France, Ecole Centrale de Lille, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR8146
3 LIX - Laboratoire d'informatique de l'École polytechnique [Palaiseau]
4 CRAN - Centre de Recherche en Automatique de Nancy
5 L2S - Laboratoire des signaux et systèmes
Abstract : 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.
keyword : PID sampling intelligent PID model-free control
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Conference papers
18th Mediterranean Conference on Control and Automation, MED'10, Jun 2010, Marrakech, Morocco. pp.CDROM, 2010, 〈10.1109/med.2010.5547700 〉
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Brigitte D'Andréa-Novel, Michel Fliess, Cédric Join, Hugues Mounier, Bruno Steux. A mathematical explanation via "intelligent" PID controllers of the strange ubiquity of PIDs. 18th Mediterranean Conference on Control and Automation, MED'10, Jun 2010, Marrakech, Morocco. pp.CDROM, 2010, 〈10.1109/med.2010.5547700 〉. 〈inria-00480293v2〉

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