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2021, Volume 22, Issue 1

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

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

Affiliation(s): Automatic Control Department, CINVESTAV, Mexico City 07360, Mexico; The Czech Academy of Sciences, Institute of Information Theory and Automation, Prague 18200, Czech Republic; Biotechnology and Bioengineering Department, CINVESTAV, Mexico City 07360, Mexico; less

Received: 2020-07-22 Accepted: 2021-01-11 Available online: 2021-01-11
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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.

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