Robust Feedback Control Design for a Nonlinear Wastewater Treatment Model

M. Serhani; N. Raissi; P. Cartigny

Mathematical Modelling of Natural Phenomena (2009)

  • Volume: 4, Issue: 5, page 128-143
  • ISSN: 0973-5348

Abstract

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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.

How to cite

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Serhani, M., Raissi, N., and Cartigny, P.. "Robust Feedback Control Design for a Nonlinear Wastewater Treatment Model." Mathematical Modelling of Natural Phenomena 4.5 (2009): 128-143. <http://eudml.org/doc/222212>.

@article{Serhani2009,
abstract = { 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. },
author = {Serhani, M., Raissi, N., Cartigny, P.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {wastewater treatment; dynamical systems; stability; robustness; feedback control; activated sludge},
language = {eng},
month = {10},
number = {5},
pages = {128-143},
publisher = {EDP Sciences},
title = {Robust Feedback Control Design for a Nonlinear Wastewater Treatment Model},
url = {http://eudml.org/doc/222212},
volume = {4},
year = {2009},
}

TY - JOUR
AU - Serhani, M.
AU - Raissi, N.
AU - Cartigny, P.
TI - Robust Feedback Control Design for a Nonlinear Wastewater Treatment Model
JO - Mathematical Modelling of Natural Phenomena
DA - 2009/10//
PB - EDP Sciences
VL - 4
IS - 5
SP - 128
EP - 143
AB - 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.
LA - eng
KW - wastewater treatment; dynamical systems; stability; robustness; feedback control; activated sludge
UR - http://eudml.org/doc/222212
ER -

References

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