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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

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Citations:  Bibtex RefMan EndNote GB/T7714


Jorge A. Torres


Sergej Čelikovský


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Frontiers of Information Technology & Electronic Engineering  2021 Vol.22 No.1 P.68-78


Constant-gain nonlinear adaptive observers revisited: an application to chemostat systems

Author(s):  Jorge A. Torres, Arno Sonck, Sergej Čelikovský, Alma R. Dominguez

Affiliation(s):  Automatic Control Department, CINVESTAV, Mexico City 07360, Mexico; more

Corresponding email(s):   jtorres@ctrl.cinvestav.mx, gsonck@ctrl.cinvestav.mx, celikovs@utia.cas.cz, adomin@cinvestav.mx

Key Words:  Nonlinear observers, Adaptive observers, Coordinate change, Chemostat, Pollutant observation

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.

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%A Jorge A. Torres
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%A Sergej Čelikovský
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T1 - Constant-gain nonlinear adaptive observers revisited: an application to chemostat systems
A1 - Jorge A. Torres
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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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