Observer design using a partial nonlinear observer canonical form

Klaus Röbenack; Alan Lynch

International Journal of Applied Mathematics and Computer Science (2006)

  • Volume: 16, Issue: 3, page 333-343
  • ISSN: 1641-876X

Abstract

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This paper proposes two methods for nonlinear observer design which are based on a partial nonlinear observer canonical form (POCF). Observability and integrability existence conditions for the new POCF are weaker than the well-established nonlinear observer canonical form (OCF), which achieves exact error linearization. The proposed observers provide the global asymptotic stability of error dynamics assuming that a global Lipschitz and detectability-like condition holds. Examples illustrate the advantages of the approach relative to the existing nonlinear observer design methods. The advantages of the proposed method include a relatively simple design procedure which can be broadly applied.

How to cite

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Röbenack, Klaus, and Lynch, Alan. "Observer design using a partial nonlinear observer canonical form." International Journal of Applied Mathematics and Computer Science 16.3 (2006): 333-343. <http://eudml.org/doc/207797>.

@article{Röbenack2006,
abstract = {This paper proposes two methods for nonlinear observer design which are based on a partial nonlinear observer canonical form (POCF). Observability and integrability existence conditions for the new POCF are weaker than the well-established nonlinear observer canonical form (OCF), which achieves exact error linearization. The proposed observers provide the global asymptotic stability of error dynamics assuming that a global Lipschitz and detectability-like condition holds. Examples illustrate the advantages of the approach relative to the existing nonlinear observer design methods. The advantages of the proposed method include a relatively simple design procedure which can be broadly applied.},
author = {Röbenack, Klaus, Lynch, Alan},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {canonical form; detectability; observer design; nonlinear observer design; global asymptotic stability},
language = {eng},
number = {3},
pages = {333-343},
title = {Observer design using a partial nonlinear observer canonical form},
url = {http://eudml.org/doc/207797},
volume = {16},
year = {2006},
}

TY - JOUR
AU - Röbenack, Klaus
AU - Lynch, Alan
TI - Observer design using a partial nonlinear observer canonical form
JO - International Journal of Applied Mathematics and Computer Science
PY - 2006
VL - 16
IS - 3
SP - 333
EP - 343
AB - This paper proposes two methods for nonlinear observer design which are based on a partial nonlinear observer canonical form (POCF). Observability and integrability existence conditions for the new POCF are weaker than the well-established nonlinear observer canonical form (OCF), which achieves exact error linearization. The proposed observers provide the global asymptotic stability of error dynamics assuming that a global Lipschitz and detectability-like condition holds. Examples illustrate the advantages of the approach relative to the existing nonlinear observer design methods. The advantages of the proposed method include a relatively simple design procedure which can be broadly applied.
LA - eng
KW - canonical form; detectability; observer design; nonlinear observer design; global asymptotic stability
UR - http://eudml.org/doc/207797
ER -

References

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