Title: Non-linear estimation is easy

Authors: Michel Fliess, Cedric Join, Hebertt Sira-Ramirez

Addresses: Projet ALIEN, INRIA Futurs and Equipe MAX, LIX (CNRS, UMR 7161), Ecole Polytechnique, 91128 Palaiseau, France. ' Projet ALIEN, INRIA Futurs and CRAN (CNRS, UMR 7039), Universite Henri Poincare (Nancy I), BP 239, 54506 Vandoeuvre-les-Nancy, France. ' CINVESTAV-IPN, Seccion de Mecatronica, Departamento de Ingenieria Electrica, Avenida IPN, No. 2508, Col. San Pedro Zacatenco, AP 14740, 07300 Mexico DF, Mexico

Abstract: Non-linear state estimation and some related topics like parametric estimation, fault diagnosis and perturbation attenuation are tackled here via a new methodology in numerical differentiation. The corresponding basic system theoretic definitions and properties are presented within the framework of differential algebra, which permits to handle system variables and their derivatives of any order. Several academic examples and their computer simulations, with online estimations, illustrate our viewpoint.

Keywords: nonlinear systems; observability; parametric identifiability; closed-loop state estimation; closed-loop parametric identification; closed-loop fault diagnosis; closed-loop fault tolerant control; closed-loop perturbation attenuation; numerical differentiation; differential algebra; nonlinear state estimation.

DOI: 10.1504/IJMIC.2008.020996

International Journal of Modelling, Identification and Control, 2008 Vol.4 No.1, pp.12 - 27

Published online: 30 Oct 2008 *

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