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

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.

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Bibliographic Details
Published in2007 Mediterranean Conference on Control and Automation pp. 1 - 6
Main Authors Mboup, M., Join, C., Fliess, M.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.06.2007
Subjects
Feedback control
Image processing
Integral equations
Mathematics
Nonlinear systems
Numerical simulation
Polynomials
Signal analysis
Signal processing
Taylor series
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Summary: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.
ISBN:1424412811
9781424412815
DOI:10.1109/MED.2007.4433728