An asymptotic state observer for a class of nonlinear delay systems

Alfredo Germani; Costanzo Manes; Pierdomenico Pepe

Kybernetika (2001)

  • Volume: 37, Issue: 4, page [459]-478
  • ISSN: 0023-5954

Abstract

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The problem of state reconstruction from input and output measurements for nonlinear time delay systems is studied in this paper and a state observer is proposed that is easy to implement and, under suitable assumptions on the system and on the input function, gives exponential observation error decay. The proposed observer is itself a delay system and can be classified as an identity observer, in that it is such that if at a given time instant the system and observer states coincide, on a suitable Hilbert space, the observation error remains zero in all following time instants. The computation of the observer gain is straightforward. Computer simulations are reported that show the good performance of the observer.

How to cite

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Germani, Alfredo, Manes, Costanzo, and Pepe, Pierdomenico. "An asymptotic state observer for a class of nonlinear delay systems." Kybernetika 37.4 (2001): [459]-478. <http://eudml.org/doc/33546>.

@article{Germani2001,
abstract = {The problem of state reconstruction from input and output measurements for nonlinear time delay systems is studied in this paper and a state observer is proposed that is easy to implement and, under suitable assumptions on the system and on the input function, gives exponential observation error decay. The proposed observer is itself a delay system and can be classified as an identity observer, in that it is such that if at a given time instant the system and observer states coincide, on a suitable Hilbert space, the observation error remains zero in all following time instants. The computation of the observer gain is straightforward. Computer simulations are reported that show the good performance of the observer.},
author = {Germani, Alfredo, Manes, Costanzo, Pepe, Pierdomenico},
journal = {Kybernetika},
keywords = {nonlinear system; time-delay system; observability; nonlinear system; time-delay system; observability},
language = {eng},
number = {4},
pages = {[459]-478},
publisher = {Institute of Information Theory and Automation AS CR},
title = {An asymptotic state observer for a class of nonlinear delay systems},
url = {http://eudml.org/doc/33546},
volume = {37},
year = {2001},
}

TY - JOUR
AU - Germani, Alfredo
AU - Manes, Costanzo
AU - Pepe, Pierdomenico
TI - An asymptotic state observer for a class of nonlinear delay systems
JO - Kybernetika
PY - 2001
PB - Institute of Information Theory and Automation AS CR
VL - 37
IS - 4
SP - [459]
EP - 478
AB - The problem of state reconstruction from input and output measurements for nonlinear time delay systems is studied in this paper and a state observer is proposed that is easy to implement and, under suitable assumptions on the system and on the input function, gives exponential observation error decay. The proposed observer is itself a delay system and can be classified as an identity observer, in that it is such that if at a given time instant the system and observer states coincide, on a suitable Hilbert space, the observation error remains zero in all following time instants. The computation of the observer gain is straightforward. Computer simulations are reported that show the good performance of the observer.
LA - eng
KW - nonlinear system; time-delay system; observability; nonlinear system; time-delay system; observability
UR - http://eudml.org/doc/33546
ER -

References

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