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On the optimization of biogas production in anaerobic digestion systems

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Abstract
This paper presents a strategy for the optimization of biogas outflow rate in an anaerobic digestion process described by a two-population model. The methodology relies on the solution of two optimization problems: steady state optimization for determining the optimal operating point and transient optimization. The latter is solved using the maximum principle of Pontryagin. The proposed control law, which drives the process from an initial state to the optimal steady state while maximizing the biogas outflow rate, consists of switching the manipulated variable (dilution rate) from the minimum to the maximum value and then to the optimal value at well defined instants. This control law substantially increases the stability region of the optimal equilibrium point, enlarging it in some cases to almost the entire state space. Aside its efficiency, the strategy is also characterized by simplicity, being thus appropriate for implementation in real-life systems. Another important advantage is its generality: this technique may be applied to any anaerobic digestion process, for which the acidogenesis and methanogenesis are respectively characterized by Monod and Haldane kinetics.
Keywords
biotechnology, nonlinear systems, stability analysis, bang-bang, control, optimal control

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Chicago
Sbarciog, Mihaela , Mia Loccufier, and Alain Vande Wauwer. 2011. “On the Optimization of Biogas Production in Anaerobic Digestion Systems.” In Preprints of the 18th IFAC World Congress, 7150–7155. International Federation of Automatic Control (IFAC).
APA
Sbarciog, M., Loccufier, M., & Vande Wauwer, A. (2011). On the optimization of biogas production in anaerobic digestion systems. Preprints of the 18th IFAC World Congress (pp. 7150–7155). Presented at the 18th IFAC World Congress (IFAC 2011), International Federation of Automatic Control (IFAC).
Vancouver
1.
Sbarciog M, Loccufier M, Vande Wauwer A. On the optimization of biogas production in anaerobic digestion systems. Preprints of the 18th IFAC World Congress. International Federation of Automatic Control (IFAC); 2011. p. 7150–5.
MLA
Sbarciog, Mihaela , Mia Loccufier, and Alain Vande Wauwer. “On the Optimization of Biogas Production in Anaerobic Digestion Systems.” Preprints of the 18th IFAC World Congress. International Federation of Automatic Control (IFAC), 2011. 7150–7155. Print.
@inproceedings{2053336,
  abstract     = {This paper presents a strategy for the optimization of biogas outflow rate in an anaerobic digestion process described by a two-population model. The methodology relies on the solution of two optimization problems: steady state optimization for determining the optimal operating point and transient optimization. The latter is solved using the maximum principle of Pontryagin. The proposed control law, which drives the process from an initial state to the optimal steady state while maximizing the biogas outflow rate, consists of switching the manipulated variable (dilution rate) from the minimum to the maximum value and then to the optimal value at well defined instants. This control law substantially increases the stability region of the optimal equilibrium point, enlarging it in some cases to almost the entire state space. Aside its efficiency, the strategy is also characterized by simplicity, being thus appropriate for implementation in real-life systems. Another important advantage is its generality: this technique may be applied to any anaerobic digestion process, for which the acidogenesis and methanogenesis are respectively characterized by Monod and Haldane kinetics.},
  author       = {Sbarciog, Mihaela  and Loccufier, Mia and Vande Wauwer, Alain},
  booktitle    = {Preprints of the 18th IFAC World Congress},
  keyword      = {biotechnology,nonlinear systems,stability analysis,bang-bang,control,optimal control},
  language     = {eng},
  location     = {Milano, Italy},
  pages        = {7150--7155},
  publisher    = {International Federation of Automatic Control (IFAC)},
  title        = {On the optimization of biogas production in anaerobic digestion systems},
  year         = {2011},
}