Finite element-based observer design for nonlinear systems with delayed measurements

Branislav Rehák

Kybernetika (2019)

  • Volume: 55, Issue: 6, page 1050-1069
  • ISSN: 0023-5954

Abstract

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This paper presents a computational procedure for the design of an observer of a nonlinear system. Outputs can be delayed, however, this delay must be known and constant. The characteristic feature of the design procedure is computation of a solution of a partial differential equation. This equation is solved using the finite element method. Conditions under which existence of a solution is guaranteed are derived. These are formulated by means of theory of partial differential equations in L 2 -space. Three examples demonstrate viability of this approach and provide a comparison with the solution method based on expansions into Taylor polynomials.

How to cite

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Rehák, Branislav. "Finite element-based observer design for nonlinear systems with delayed measurements." Kybernetika 55.6 (2019): 1050-1069. <http://eudml.org/doc/297277>.

@article{Rehák2019,
abstract = {This paper presents a computational procedure for the design of an observer of a nonlinear system. Outputs can be delayed, however, this delay must be known and constant. The characteristic feature of the design procedure is computation of a solution of a partial differential equation. This equation is solved using the finite element method. Conditions under which existence of a solution is guaranteed are derived. These are formulated by means of theory of partial differential equations in $L^2$-space. Three examples demonstrate viability of this approach and provide a comparison with the solution method based on expansions into Taylor polynomials.},
author = {Rehák, Branislav},
journal = {Kybernetika},
keywords = {nonlinear observer; delayed-output system; finite element method},
language = {eng},
number = {6},
pages = {1050-1069},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Finite element-based observer design for nonlinear systems with delayed measurements},
url = {http://eudml.org/doc/297277},
volume = {55},
year = {2019},
}

TY - JOUR
AU - Rehák, Branislav
TI - Finite element-based observer design for nonlinear systems with delayed measurements
JO - Kybernetika
PY - 2019
PB - Institute of Information Theory and Automation AS CR
VL - 55
IS - 6
SP - 1050
EP - 1069
AB - This paper presents a computational procedure for the design of an observer of a nonlinear system. Outputs can be delayed, however, this delay must be known and constant. The characteristic feature of the design procedure is computation of a solution of a partial differential equation. This equation is solved using the finite element method. Conditions under which existence of a solution is guaranteed are derived. These are formulated by means of theory of partial differential equations in $L^2$-space. Three examples demonstrate viability of this approach and provide a comparison with the solution method based on expansions into Taylor polynomials.
LA - eng
KW - nonlinear observer; delayed-output system; finite element method
UR - http://eudml.org/doc/297277
ER -

References

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