Non-linear estimation is easy

By Michel Fliess, Cédric Join, Hebertt Sira-Ramírez. International journal of Modeling, identification and control, 2007

410 citations recorded by the source corpus.

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.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/a66a77bbd306dde93b2dd63bd937c33d687e9f1a

Citations in the corpus

• A revised look at numerical differentiation with an application to nonlinear feedback control (2007, neutral): “The first illustration in Section III applies the above techniques for estimating the derivative of a noisy academic signal.”