A numerical method for the solution of the nonlinear observer problem

Rehák, Branislav

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics CAS(Prague), page 110-119

Abstract

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The central part in the process of solving the observer problem for nonlinear systems is to find a solution of a partial differential equation of first order. The original method proposed to solve this equation used expansions into Taylor polynomials, however, it suffers from rather restrictive assumptions while the approach proposed here allows to generalize these requirements. Its characteristic feature is that it is based on the application of the Finite Element Method. An illustrating example is provided.

How to cite

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Rehák, Branislav. "A numerical method for the solution of the nonlinear observer problem." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics CAS, 2021. 110-119. <http://eudml.org/doc/296903>.

@inProceedings{Rehák2021,
abstract = {The central part in the process of solving the observer problem for nonlinear systems is to find a solution of a partial differential equation of first order. The original method proposed to solve this equation used expansions into Taylor polynomials, however, it suffers from rather restrictive assumptions while the approach proposed here allows to generalize these requirements. Its characteristic feature is that it is based on the application of the Finite Element Method. An illustrating example is provided.},
author = {Rehák, Branislav},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {finite element method; observer; partial differential equation},
location = {Prague},
pages = {110-119},
publisher = {Institute of Mathematics CAS},
title = {A numerical method for the solution of the nonlinear observer problem},
url = {http://eudml.org/doc/296903},
year = {2021},
}

TY - CLSWK
AU - Rehák, Branislav
TI - A numerical method for the solution of the nonlinear observer problem
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2021
CY - Prague
PB - Institute of Mathematics CAS
SP - 110
EP - 119
AB - The central part in the process of solving the observer problem for nonlinear systems is to find a solution of a partial differential equation of first order. The original method proposed to solve this equation used expansions into Taylor polynomials, however, it suffers from rather restrictive assumptions while the approach proposed here allows to generalize these requirements. Its characteristic feature is that it is based on the application of the Finite Element Method. An illustrating example is provided.
KW - finite element method; observer; partial differential equation
UR - http://eudml.org/doc/296903
ER -

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