# Linearization by completely generalized input-output injection

Virgilio López Morales; Franck Plestan; Alain Glumineau

Kybernetika (1999)

- Volume: 35, Issue: 6, page [793]-802
- ISSN: 0023-5954

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topLópez Morales, Virgilio, Plestan, Franck, and Glumineau, Alain. "Linearization by completely generalized input-output injection." Kybernetika 35.6 (1999): [793]-802. <http://eudml.org/doc/33463>.

@article{LópezMorales1999,

abstract = {The problem addressed in this paper is the linearization of nonlinear systems by generalized input-output (I/O) injection. The I/O injection (called completely generalized I/O injection) depends on a finite number of time derivatives of input and output functions. The practical goal is the observer synthesis with linear error dynamics. The method is based on the I/O differential equation structure. Thus, the problem is solved as a realization one. A necessary and sufficient condition is proposed through a constructive algorithm and is based on the exterior differentiation.},

author = {López Morales, Virgilio, Plestan, Franck, Glumineau, Alain},

journal = {Kybernetika},

keywords = {linearization of nonlinear systems; input-output injection; exterior differentiation; I or O differential equation structure; observer synthesis; linearization of nonlinear systems; input-output injection; exterior differentiation; I or O differential equation structure; observer synthesis},

language = {eng},

number = {6},

pages = {[793]-802},

publisher = {Institute of Information Theory and Automation AS CR},

title = {Linearization by completely generalized input-output injection},

url = {http://eudml.org/doc/33463},

volume = {35},

year = {1999},

}

TY - JOUR

AU - López Morales, Virgilio

AU - Plestan, Franck

AU - Glumineau, Alain

TI - Linearization by completely generalized input-output injection

JO - Kybernetika

PY - 1999

PB - Institute of Information Theory and Automation AS CR

VL - 35

IS - 6

SP - [793]

EP - 802

AB - The problem addressed in this paper is the linearization of nonlinear systems by generalized input-output (I/O) injection. The I/O injection (called completely generalized I/O injection) depends on a finite number of time derivatives of input and output functions. The practical goal is the observer synthesis with linear error dynamics. The method is based on the I/O differential equation structure. Thus, the problem is solved as a realization one. A necessary and sufficient condition is proposed through a constructive algorithm and is based on the exterior differentiation.

LA - eng

KW - linearization of nonlinear systems; input-output injection; exterior differentiation; I or O differential equation structure; observer synthesis; linearization of nonlinear systems; input-output injection; exterior differentiation; I or O differential equation structure; observer synthesis

UR - http://eudml.org/doc/33463

ER -

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## Citations in EuDML Documents

top- J. de Leon, I. Souleiman, Alain Glumineau, G. Schreier, On nonlinear equivalence and backstepping observer
- Václav Černý, Josef Hrušák, Non-linear observer design method based on dissipation normal form
- Arvo Kaldmäe, Ülle Kotta, Realization of nonlinear input-output equations in controller canonical form

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