Dynamical study and robustness for a nonlinear wastewater treatment model

Serhani, Mustapha; Gouzé, Jean‐Luc; Raïssi, Nadia

doi:10.1016/j.nonrwa.2010.06.034

Cited by 14 publications

(8 citation statements)

References 8 publications

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“…From the power generation viewpoint, the optimization of methane outflow rate is one of the key issues in the operation of anaerobic processes (Sbarciog et al 2011). However, the optimal operation of AD process is complicated to reach, mainly due to: their highly nonlinear and unstable nature, inhibition by substrates or products and by the substantial unmodeled dynamics (Hess and Bernard, 2008;Sbarciog et al, 2010;Serhani et al, 2011;Shen et al, 2007). Additionally, the optimal operating conditions of the AD process can be riskier; i.e., the effect of the external perturbations or small changes in the AD environment can lead towards undesirable operating conditions (Sbarciog et al, 2010;Shen et al, 2007).…”

Section: Introductionmentioning

confidence: 99%

On the dynamic optimization of methane production in anaerobic digestion via extremum-seeking control approach

Lara-Cisneros

Aguilar-López

Femat

2015

Computers & Chemical Engineering

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Section: Introductionmentioning

confidence: 99%

On the dynamic optimization of methane production in anaerobic digestion via extremum-seeking control approach

Lara-Cisneros

Aguilar-López

Femat

2015

Computers & Chemical Engineering

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“…where c i , (i = 1, 3) depend on the parameters and c = max{c 2 , c 3 }. The above inequality shows a linear growth of the nonlinearity f which guarantees the uniqueness of solutions of (13) which is bounded [27,28].…”

Section: Model Analysismentioning

confidence: 79%

Study of Static and Dynamic Behavior of a Membrane Reactor for Hydrogen Production

et al. 2021

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The paper investigates the stability and bifurcation phenomena that can occur in membrane reactors for the production of hydrogen by ammonia decomposition. A simplified mixed model of the membrane reactor is studied and two expressions of hydrogen permeation are investigated. The effect of the model design and operating parameters on the existence of steady state multiplicity is discussed. In this regard, it is shown that the adsorption-inhibition effect caused by the competitive adsorption of ammonia can lead to the occurrence of multiple steady states in the model. The steady state multiplicity exists for a wide range of feed ammonia concentration and reactor residence time. The effect of the adsorption constant, the membrane surface area and its permeability on the steady state multiplicity is delineated. The analysis also shows that no Hopf bifurcation can occur in the studied model.

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“…The removal of the sewage from a water body by the biodegradation has been investigated by many researchers [3][4][5][6][7][8][9][10][11][12][13][14][15]. In [14], pollutant removal process of a constructed wetland is simulated by the following model:…”

Section: Introductionmentioning

confidence: 99%

Impulsive State Feedback Control of the Rhizosphere Microbial Degradation in the Wetland Plant

Zhao

Pang

Zhao

et al. 2015

Discrete Dynamics in Nature and Society

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The rhizosphere microbe plays an important role in removing the pollutant generated from industrial and agricultural production. To investigate the dynamics of the microbial degradation, a nonlinear mathematical model of the rhizosphere microbial degradation is proposed based on impulsive state feedback control. The sufficient conditions for existence of the positive order-1 or order-2 periodic solution are obtained by using the geometrical theory of the semicontinuous dynamical system. We show the impulsive control system tends to an order-1 periodic solution or order-2 periodic solution if the control measures are achieved during the process of the microbial degradation. Furthermore, mathematical results are justified by some numerical simulations.

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Dynamical study and robustness for a nonlinear wastewater treatment model

Cited by 14 publications

References 8 publications

On the dynamic optimization of methane production in anaerobic digestion via extremum-seeking control approach

On the dynamic optimization of methane production in anaerobic digestion via extremum-seeking control approach

Study of Static and Dynamic Behavior of a Membrane Reactor for Hydrogen Production

Impulsive State Feedback Control of the Rhizosphere Microbial Degradation in the Wetland Plant

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