| Issue |
Math. Model. Nat. Phenom.
Volume 4, Number 5, 2009
Modelling of geographical processes and natural resources
|
|
|---|---|---|
| Page(s) | 128 - 143 | |
| DOI | https://doi.org/10.1051/mmnp/20094509 | |
| Published online | 02 October 2009 | |
Robust Feedback Control Design for a Nonlinear Wastewater Treatment Model
1
FSJES, University My Ismail, B.P. 3102, Toulal, Meknes, Morocco
2
EIMA, FS, University Ibn Tofail, B.P. 133, Kénitra, Morocco
3
GREQAM, University la Méditerranée, 2 rue de la Charité, 13002
Marseille, France
Corresponding author: mserhani@hotmail.com
In this work we deal with the design of the robust feedback control of wastewater treatment system, namely the activated sludge process. This problem is formulated by a nonlinear ordinary differential system. On one hand, we develop a robust analysis when the specific growth function of the bacterium μ is not well known. On the other hand, when also the substrate concentration in the feed stream sin is unknown, we provide an observer of system and propose a design of robust feedback control in term of recycle rate, in order to keep the pollutant concentration lower than an allowed maximum level sd.
Mathematics Subject Classification: 92D25 / 37N25 / 93B07 / 93B51 / 93B52 / 93D20
Key words: wastewater treatment / dynamical systems / stability / robustness / feedback control / activated sludge
© EDP Sciences, 2009
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