Realization of nonlinear input-output equations in controller canonical form

Arvo Kaldmäe; Ülle Kotta

Kybernetika (2018)

  • Volume: 54, Issue: 4, page 736-747
  • ISSN: 0023-5954

Abstract

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In this paper necessary and sufficient conditions are given which guarantee that there exists a realization of a set of nonlinear higher order differential input-output equations in the controller canonical form. Two cases are studied, corresponding respectively to linear and nonlinear output functions. The conditions are formulated in terms of certain sequence of vector spaces of differential 1-forms. The proofs suggest how to construct the transformations, necessary to obtain the specific state space realizations. Multiple examples are added, which describe different scenarios.

How to cite

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Kaldmäe, Arvo, and Kotta, Ülle. "Realization of nonlinear input-output equations in controller canonical form." Kybernetika 54.4 (2018): 736-747. <http://eudml.org/doc/294243>.

@article{Kaldmäe2018,
abstract = {In this paper necessary and sufficient conditions are given which guarantee that there exists a realization of a set of nonlinear higher order differential input-output equations in the controller canonical form. Two cases are studied, corresponding respectively to linear and nonlinear output functions. The conditions are formulated in terms of certain sequence of vector spaces of differential 1-forms. The proofs suggest how to construct the transformations, necessary to obtain the specific state space realizations. Multiple examples are added, which describe different scenarios.},
author = {Kaldmäe, Arvo, Kotta, Ülle},
journal = {Kybernetika},
keywords = {realization; nonlinear systems; algebraic methods},
language = {eng},
number = {4},
pages = {736-747},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Realization of nonlinear input-output equations in controller canonical form},
url = {http://eudml.org/doc/294243},
volume = {54},
year = {2018},
}

TY - JOUR
AU - Kaldmäe, Arvo
AU - Kotta, Ülle
TI - Realization of nonlinear input-output equations in controller canonical form
JO - Kybernetika
PY - 2018
PB - Institute of Information Theory and Automation AS CR
VL - 54
IS - 4
SP - 736
EP - 747
AB - In this paper necessary and sufficient conditions are given which guarantee that there exists a realization of a set of nonlinear higher order differential input-output equations in the controller canonical form. Two cases are studied, corresponding respectively to linear and nonlinear output functions. The conditions are formulated in terms of certain sequence of vector spaces of differential 1-forms. The proofs suggest how to construct the transformations, necessary to obtain the specific state space realizations. Multiple examples are added, which describe different scenarios.
LA - eng
KW - realization; nonlinear systems; algebraic methods
UR - http://eudml.org/doc/294243
ER -

References

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