0533650 20240103224618.120201029235959.9 000609181400006 85100503079 10.1631/FITEE.2000368 10 s. P cav_un_epca*04754662095-9184221 (2021)68-78Zheijiang University Press Nonlinear observers Adaptive observers Coordinate change Chemostat Pollutants observation cav_un_auth*0021116 Torres J. A. MX cav_un_auth*0398285 Sonck A. MX cav_un_auth*0101074 Čelikovský Sergej UTIA-B Teorie řízení Department of Control Theory TŘ TR Department of Control Theory Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0282539 Domínguez A.R. MX https://rdcu.be/cdWoD GA19-05872S GA ČR CZ cav_un_auth*0376352 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. 2022 BC WOS 20000 20200 20205 4 4 A sml 4as 20231122145216.6 RVO:67985556 http://hdl.handle.net/11104/0312001 cav_un_auth*0398287 Automatic Control Department, CINVESTAV, Mexico City ACD, Cinvestav MX cav_un_auth*0398288 Biotechnology and Bioengineering Department, CINVESTAV, Mexico City BBD, Cinvestav MX S Copyright Transfer Statement 20200921 3+4 Article Computer Science Information Systems|Computer Science Software Engineering|Engineering Electrical Electronic C COMPUTERSCIENCE.INFORMATIONSYSTEMS|COMPUTERSCIENCE.SOFTWAREENGINEERING|ENGINEERING.ELECTRICAL&ELECTRONIC 2.390 0.547 3.3 0.00302 0.487 1722 53 0.733 37.77 3.05 1341 Q2 2.332 117 Q2 45 Q3 Q2 0.56 Q3 55 2021 Soubory v repozitáři: celikovsky-0533650-Copyright_ Transfer_Statement-2.pdf 85100503079 SCOPUS PUBMED 000609181400006 WOS cav_un_epca*0475466 Frontiers of Information Technology & Electronic Engineering 2095-9184 2095-9230 Roč. 22 č. 1 2021 68 78 Zheijiang University Press