Skip to Main content Skip to Navigation

Techniques d'Immersion pour l'Estimation Non Linéaire - Application aux Systèmes de Puissance

Abstract : This work lies
within the scope of the nonlinear estimation problem, the estimation
(or observation) process concerning both the state variables and the
parameters. When faced to this problem, we are led in
general-through lack of a systematic (general) solution-to find
a transformation of the system to observe, which makes possible the
synthesis of an observer.
Our contributions mainly concern the transformations through
immersion, which generalize the transformations through
diffeomorphism in the way that the dimension of the state space is
not necessarily preserved---it may increase. First, we resort to the
use of output injection in order to enlarge the class of the systems
that can be immersed into a state affine form and we indicate some
heuristic ways to construct the immersion. Second, we show that a
possibility to obtain a rigorous characterization of the immersion
conditions, regardless the presence of output injection,
is to tolerate in some way the nonlinearities. The corresponding
immersion procedure is systematic in the absence of output injection
but it can be easily adapted to account for the presence of the
latter. We justify our interest towards the form that results
through immersion by presenting a high gain observer whose synthesis
does not rely on the uniform observability assumption. We verify the
applicability of the results through examples in the field of the
electric power systems, the most important among them concerning the
state and parameter simultaneous estimation in induction motors.
Document type :
Complete list of metadata

Cited literature [104 references]  Display  Hide  Download
Contributor : Gildas Besancon <>
Submitted on : Tuesday, May 29, 2007 - 6:07:20 PM
Last modification on : Friday, November 6, 2020 - 4:01:24 AM
Long-term archiving on: : Thursday, April 8, 2010 - 6:17:33 PM


  • HAL Id : tel-00150225, version 1



Alexandru Ticlea. Techniques d'Immersion pour l'Estimation Non Linéaire - Application aux Systèmes de Puissance. Automatique / Robotique. Institut National Polytechnique de Grenoble - INPG, 2006. Français. ⟨tel-00150225⟩



Record views


Files downloads