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
Document type :
Conference papers
18th Mediterranean Conference on Control and Automation, MED'10, Jun 2010, Marrakech, Morocco. pp.CDROM, 2010, 〈10.1109/med.2010.5547700 〉
Liste complète des métadonnées

Cited literature [11 references]  Display  Hide  Download
https://hal.inria.fr/inria-00480293
Contributor : Michel Fliess <>
Submitted on : Tuesday, June 29, 2010 - 7:07:09 PM
Last modification on : Wednesday, April 25, 2018 - 10:45:26 AM
Document(s) archivé(s) le : Thursday, September 30, 2010 - 5:56:22 PM

Files

PID-MED10.pdf
Files produced by the author(s)

Identifiers

Collections

INRIA | LIX | SUP_LSS | INSMI | X-LIX | X | ENSMP_CAOR | PARISTECH | ENSMP | LAGIS | CRAN | L2S | UNIV-LORRAINE | TDS-MACS | PSL | SUPELEC

Citation

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〉

Export

BibTeX TEI DC DCterms EndNote

Share

Metrics

Record views

1641

Files downloads

600

Contact


archive-ouverte@inria.fr