Miled El Hajji,  Nejmeddine Chorfi, Mohamed Jleli
Abstract:
 
 In this article, we consider a simple mathematical model involving
 biomass growth on organic materials in a membrane bioreactor for
 a waste water treatment. Details of qualitative analysis are provided.
 We proposed a high gain observer that permits the reconstruction of
 the biomass concentration and the endegenous decay based on on-line
 measurements of the chemical oxygen demand (CDO).
 Submitted April 20, 2015. Published December 24, 2015.
Math Subject Classifications: 35J15, 78M22.
Key Words: Membrane bioreactor; modeling; stability; observer.
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 Miled El Hajji  General studies department College of Telecom and Electronics Technical and Vocational Training Corporation Jeddah 2146, Saudi Arabia email: miled.elhajji@enit.rnu.tn  | 
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 Nejmeddine Chorfi  Department of Mathematics, College of Science King Saud University Riyadh 11451, Saudi Arabia email: nchorfi@ksu.edu.sa  | 
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 Mohamed Jleli  Department of Mathematics, College of Science King Saud University Riyadh 11451, Saudi Arabia email: jleli@ksu.edu.sa  | 
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