Transformation of nonlinear state equations into the observer form: Necessary and sufficient conditions in terms of one-forms

Vadim Kaparin; Ülle Kotta

Kybernetika (2015)

  • Volume: 51, Issue: 1, page 36-58
  • ISSN: 0023-5954

Abstract

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Necessary and sufficient conditions are given for the existence of state and output transformations, that bring single-input single-output nonlinear state equations into the observer form. The conditions are formulated in terms of differential one-forms, associated with an input-output equation of the system. An algorithm for transformation of the state equations into the observer form is presented and illustrated by an example.

How to cite

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Kaparin, Vadim, and Kotta, Ülle. "Transformation of nonlinear state equations into the observer form: Necessary and sufficient conditions in terms of one-forms." Kybernetika 51.1 (2015): 36-58. <http://eudml.org/doc/270049>.

@article{Kaparin2015,
abstract = {Necessary and sufficient conditions are given for the existence of state and output transformations, that bring single-input single-output nonlinear state equations into the observer form. The conditions are formulated in terms of differential one-forms, associated with an input-output equation of the system. An algorithm for transformation of the state equations into the observer form is presented and illustrated by an example.},
author = {Kaparin, Vadim, Kotta, Ülle},
journal = {Kybernetika},
keywords = {nonlinear control system; state and output transformations; observer form; differential one-form; nonlinear control system; state and output transformations; observer form; differential one-form},
language = {eng},
number = {1},
pages = {36-58},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Transformation of nonlinear state equations into the observer form: Necessary and sufficient conditions in terms of one-forms},
url = {http://eudml.org/doc/270049},
volume = {51},
year = {2015},
}

TY - JOUR
AU - Kaparin, Vadim
AU - Kotta, Ülle
TI - Transformation of nonlinear state equations into the observer form: Necessary and sufficient conditions in terms of one-forms
JO - Kybernetika
PY - 2015
PB - Institute of Information Theory and Automation AS CR
VL - 51
IS - 1
SP - 36
EP - 58
AB - Necessary and sufficient conditions are given for the existence of state and output transformations, that bring single-input single-output nonlinear state equations into the observer form. The conditions are formulated in terms of differential one-forms, associated with an input-output equation of the system. An algorithm for transformation of the state equations into the observer form is presented and illustrated by an example.
LA - eng
KW - nonlinear control system; state and output transformations; observer form; differential one-form; nonlinear control system; state and output transformations; observer form; differential one-form
UR - http://eudml.org/doc/270049
ER -

References

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