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State estimation for a class of nonlinear systems

Benoît Schwaller; Denis Ensminger; Birgitta Dresp-Langley; José Ragot

International Journal of Applied Mathematics and Computer Science (2013)

  • Volume: 23, Issue: 2, page 383-394
  • ISSN: 1641-876X

Abstract

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We propose a new type of Proportional Integral (PI) state observer for a class of nonlinear systems in continuous time which ensures an asymptotic stable convergence of the state estimates. Approximations of nonlinearity are not necessary to obtain such results, but the functions must be, at least locally, of the Lipschitz type. The obtained state variables are exact and robust against noise. Naslin's damping criterion permits synthesizing gains in an algebraically simple and efficient way. Both the speed and damping of the observer response are controlled in this way. Model simulations based on a Sprott strange attractor are discussed as an example.

How to cite

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Benoît Schwaller, et al. "State estimation for a class of nonlinear systems." International Journal of Applied Mathematics and Computer Science 23.2 (2013): 383-394. <http://eudml.org/doc/257116>.

@article{BenoîtSchwaller2013,
abstract = {We propose a new type of Proportional Integral (PI) state observer for a class of nonlinear systems in continuous time which ensures an asymptotic stable convergence of the state estimates. Approximations of nonlinearity are not necessary to obtain such results, but the functions must be, at least locally, of the Lipschitz type. The obtained state variables are exact and robust against noise. Naslin's damping criterion permits synthesizing gains in an algebraically simple and efficient way. Both the speed and damping of the observer response are controlled in this way. Model simulations based on a Sprott strange attractor are discussed as an example.},
author = {Benoît Schwaller, Denis Ensminger, Birgitta Dresp-Langley, José Ragot},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {nonlinear systems; state observers; continuous time},
language = {eng},
number = {2},
pages = {383-394},
title = {State estimation for a class of nonlinear systems},
url = {http://eudml.org/doc/257116},
volume = {23},
year = {2013},
}

TY - JOUR
AU - Benoît Schwaller
AU - Denis Ensminger
AU - Birgitta Dresp-Langley
AU - José Ragot
TI - State estimation for a class of nonlinear systems
JO - International Journal of Applied Mathematics and Computer Science
PY - 2013
VL - 23
IS - 2
SP - 383
EP - 394
AB - We propose a new type of Proportional Integral (PI) state observer for a class of nonlinear systems in continuous time which ensures an asymptotic stable convergence of the state estimates. Approximations of nonlinearity are not necessary to obtain such results, but the functions must be, at least locally, of the Lipschitz type. The obtained state variables are exact and robust against noise. Naslin's damping criterion permits synthesizing gains in an algebraically simple and efficient way. Both the speed and damping of the observer response are controlled in this way. Model simulations based on a Sprott strange attractor are discussed as an example.
LA - eng
KW - nonlinear systems; state observers; continuous time
UR - http://eudml.org/doc/257116
ER -

References

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