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Journal Article 1

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2021 1

Keywords

Adaptive observers 1

Chemostat 1

Coordinate change 1

Nonlinear observers 1

Pollutant observation 1

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

Jorge A. Torres, Arno Sonck, Sergej Čelikovský, Alma R. Dominguez,jtorres@ctrl.cinvestav.mx,gsonck@ctrl.cinvestav.mx,celikovs@utia.cas.cz,adomin@cinvestav.mx

Frontiers of Information Technology & Electronic Engineering 2021, Volume 22, Issue 1,   Pages 1-140 doi: 10.1631/FITEE.2000368

Abstract: This study deals with constant-gain 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 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 state coordinates exists, allowing use of the constant-gain observer. Finally, the developed theory is illustrated by estimating pollutant concentration in a wastewater treatment facility.

Keywords： Nonlinear observers     Adaptive observers     Coordinate change     Chemostat     Pollutant observation    

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

Jorge A. Torres, Arno Sonck, Sergej Čelikovský, Alma R. Dominguez,jtorres@ctrl.cinvestav.mx,gsonck@ctrl.cinvestav.mx,celikovs@utia.cas.cz,adomin@cinvestav.mx

Journal Article