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Non-linear estimation is easy

Michel Fliess 1 Cédric Join 1, 2 Hebertt Sira-Ramirez 3 
1 ALIEN - Algebra for Digital Identification and Estimation
Inria Lille - Nord Europe, Inria Saclay - Ile de France, Centrale Lille, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR8146
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 on-line estimations, are illustrating our viewpoint.
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Submitted on : Wednesday, October 24, 2007 - 4:23:53 PM
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Michel Fliess, Cédric Join, Hebertt Sira-Ramirez. Non-linear estimation is easy. International Journal of Modelling, Identification and Control, Inderscience, 2008, Special Issue on Non-Linear Observers, 4 (1), pp.12-27. ⟨10.1504/IJMIC.2008.020996⟩. ⟨inria-00158855v2⟩



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