Homogeneous approximations and local observer design

Tomas Ménard; Emmanuel Moulay; Wilfrid Perruquetti

ESAIM: Control, Optimisation and Calculus of Variations (2013)

  • Volume: 19, Issue: 3, page 906-929
  • ISSN: 1292-8119

Abstract

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This paper is concerned with the construction of local observers for nonlinear systems without inputs, satisfying an observability rank condition. The aim of this study is, first, to define an homogeneous approximation that keeps the observability property unchanged at the origin. This approximation is further used in the synthesis of a local observer which is proven to be locally convergent for Lyapunov-stable systems. We compare the performance of the homogeneous approximation observer with the classical linear approximation observer on an example.

How to cite

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Ménard, Tomas, Moulay, Emmanuel, and Perruquetti, Wilfrid. "Homogeneous approximations and local observer design." ESAIM: Control, Optimisation and Calculus of Variations 19.3 (2013): 906-929. <http://eudml.org/doc/272779>.

@article{Ménard2013,
abstract = {This paper is concerned with the construction of local observers for nonlinear systems without inputs, satisfying an observability rank condition. The aim of this study is, first, to define an homogeneous approximation that keeps the observability property unchanged at the origin. This approximation is further used in the synthesis of a local observer which is proven to be locally convergent for Lyapunov-stable systems. We compare the performance of the homogeneous approximation observer with the classical linear approximation observer on an example.},
author = {Ménard, Tomas, Moulay, Emmanuel, Perruquetti, Wilfrid},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {homogeneity; approximations; local observer; Lyapunov-stable systems; nonlinear systems; local convergence},
language = {eng},
number = {3},
pages = {906-929},
publisher = {EDP-Sciences},
title = {Homogeneous approximations and local observer design},
url = {http://eudml.org/doc/272779},
volume = {19},
year = {2013},
}

TY - JOUR
AU - Ménard, Tomas
AU - Moulay, Emmanuel
AU - Perruquetti, Wilfrid
TI - Homogeneous approximations and local observer design
JO - ESAIM: Control, Optimisation and Calculus of Variations
PY - 2013
PB - EDP-Sciences
VL - 19
IS - 3
SP - 906
EP - 929
AB - This paper is concerned with the construction of local observers for nonlinear systems without inputs, satisfying an observability rank condition. The aim of this study is, first, to define an homogeneous approximation that keeps the observability property unchanged at the origin. This approximation is further used in the synthesis of a local observer which is proven to be locally convergent for Lyapunov-stable systems. We compare the performance of the homogeneous approximation observer with the classical linear approximation observer on an example.
LA - eng
KW - homogeneity; approximations; local observer; Lyapunov-stable systems; nonlinear systems; local convergence
UR - http://eudml.org/doc/272779
ER -

References

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