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CLC number: TP273
On-line Access: 2021-01-11
Received: 2020-07-22
Revision Accepted: 2020-08-26
Crosschecked: 2020-11-11
Cited: 0
Clicked: 4214
Citations: Bibtex RefMan EndNote GB/T7714
Constant-gain nonlinear adaptive observers revisited: an application to chemostat systems
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Jorge A. Torres, Arno Sonck, Sergej Čelikovský, Alma R. Dominguez. Constant-gain nonlinear adaptive observers revisited: an application to chemostat systems[J]. Frontiers of Information Technology & Electronic Engineering, 2021, 22(1): 68-78.
@article{title="Constant-gain nonlinear adaptive observers revisited: an application to chemostat systems",
author="Jorge A. Torres, Arno Sonck, Sergej Čelikovský, Alma R. Dominguez",
journal="Frontiers of Information Technology & Electronic Engineering",
volume="22",
number="1",
pages="68-78",
year="2021",
publisher="Zhejiang University Press & Springer",
doi="10.1631/FITEE.2000368"
}
%0 Journal Article
%T Constant-gain nonlinear adaptive observers revisited: an application to chemostat systems
%A Jorge A. Torres
%A Arno Sonck
%A Sergej Čelikovský
%A Alma R. Dominguez
%J Frontiers of Information Technology & Electronic Engineering
%V 22
%N 1
%P 68-78
%@ 2095-9184
%D 2021
%I Zhejiang University Press & Springer
%DOI 10.1631/FITEE.2000368
TY - JOUR
T1 - Constant-gain nonlinear adaptive observers revisited: an application to chemostat systems
A1 - Jorge A. Torres
A1 - Arno Sonck
A1 - Sergej Čelikovský
A1 - Alma R. Dominguez
J0 - Frontiers of Information Technology & Electronic Engineering
VL - 22
IS - 1
SP - 68
EP - 78
%@ 2095-9184
Y1 - 2021
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/FITEE.2000368
Abstract: This study deals with constant-gain adaptive observers for nonlinear systems, for which relatively few solutions are available for some particular cases. We introduce an asymptotic observer of constant gain for nonlinear systems that have linear input. This allows the observer design to be formulated within the linear matrix inequality paradigm provided that a strictly positive real condition between the input disturbance and the output is fulfilled. The proposed observer is then applied to a large class of nonlinear chemostat dynamical systems that are widely used in the fermentation process, cell cultures, medicine, etc. In fact, under standard practical assumptions, the necessary change of the chemostat state coordinates exists, allowing use of the constant-gain observer. Finally, the developed theory is illustrated by estimating pollutant concentration in a Spirulina maxima wastewater treatment facility.
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