A revised look at numerical differentiation with an application to nonlinear feedback control

Mamadou Mboup 1 Cédric Join 1, 2 Michel Fliess 1, 3
1 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
2 CRAN - Centre de Recherche en Automatique de Nancy
3 LIX - Laboratoire d'informatique de l'École polytechnique [Palaiseau]
Abstract : We are presenting new and efficient methods for numerical differentiation, i.e., for estimating derivatives of a noisy time signal. They are illustrated, via convincing numerical simulations, by the analysis of an academic signal and by the feedback control of a nonlinear system.
Keywords : Numerical differentiation iterated integrals orthogonal polynomials least squares operational calculus
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Conference papers
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https://hal.inria.fr/inria-00142588
Contributor : Michel Fliess <>
Submitted on : Thursday, April 19, 2007 - 7:23:48 PM
Last modification on : Wednesday, March 27, 2019 - 4:41:26 PM
Long-term archiving on : Wednesday, April 7, 2010 - 1:12:03 AM

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Mamadou Mboup, Cédric Join, Michel Fliess. A revised look at numerical differentiation with an application to nonlinear feedback control. The 15th Mediterrean Conference on Control and Automation - MED'2007, Jun 2007, Athènes, Greece. ⟨inria-00142588⟩

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