Non-linear estimation is easy

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.

• Type: Journal
• Year: 2007
• Where: CORR
• Authors: Michel Fliess, Cédric Join, Hebertt Sira-Ramírez
• Keywords: CORR 2007, Education, Non-linear State Estimation, Parametric Estimation, Several Academic Examples