Abstract
Various optimization techniques have been proposed to optimize the feedrate profile to maximize ethanol production. Among them are the differential algebraic system (DAS) approach, Kelly transformation approach, singular control approach, and on-off control approach. These methods are compared and it is shown that the DAS approach and Kelly transformation method are equivalent. A nonsingular transformation approach is presented. The performance obtained with the nonsingular approach is the same as that obtained with the singular approach and better than those obtained with the DAS and on-off control approaches.
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Abbreviations
- F :
-
substrate feed rate (h−1)
- H :
-
Hamiltonian
- K P , K′ P , K S , K′ S :
-
Monod constants
- P :
-
product concentration (g/L)
- PI :
-
performance index
- S :
-
substrate concentration (g/L)
- S f :
-
substrate feed concentration (g/L)
- V :
-
reactor volume (L)
- X :
-
cell mass (g/L)
- X 3 :
-
reactor volume (L)
- Y XS :
-
cell yield (g cell/g substrate)
- α:
-
Lagrangian multiplier
- λ:
-
adjoint vector
- μ:
-
specific growth rate (h−1)
- π:
-
specific production rate (h−1)
- σ:
-
substrate consumption rate (h−1)
References
Cazzador, L. (1988), Biotechnol. Bioeng. 31, 670–676.
Kishimoto, M., Sawano, T., Yoshida, T., and Taguchi, H. (1982), Proc. Ist. IFAC Workshop on Modeling and Control of Biotechnical Processes. Pergamon, Helsinki, pp. 161–168.
Menawat, A., Mutharasan, R., and Coughanowr, D. R. (1987), AIChE J. 33, 776–783.
Park, S. and Ramirez, W. F. (1988), AIChE J. 34, 1550–1558.
Hong, J. (1986), Biotechnol. Bioeng. 28, 1421–1431.
Modak, J. M., Lim, H. C., and Tayeb, Y. J. (1986), Biotechnol. Bioeng. 28, 1396–1407.
Lim, H. C., Tayeb, Y. J., Modak, J. M., and Bonte, P. (1986), Biotechnol. Bioeng. 28, 1408–1420.
Guthke, R. and Knorre, W. A. (1981), Biotechnol. Bioeng. 23, 2771.
San, K. Y. and Stephanopoulos, G. (1984), Biotechnol. Bioeng. 26, 1261–1264.
Modak, J. M. and Lim, H. C. (1989), Biotechnol. Bioeng. 33, 11–15.
Fu, P. C. and Barford, J. P. (1993), J. Proc. Cont. 3, 211–218.
Kelly, J. H. (1965), SIAM J. Control 2, 234–240.
Chen, C.-T. and Hwang, C. (1990), Ind. Eng. Chem. Res. 29, 1869–1875.
Aiba, S., Humphrey, A. E., and Mills, N. F. (1973), Biochemical Engineering, University of Tokyo Press, Tokyo.
Lee, J. H., Hong, J., and Lim, H. C. (1997), Biotechnol. Bioeng. 56, 697–705.
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Lee, JH. Comparison of various optimization approaches for fed-batch ethanol production. Appl Biochem Biotechnol 81, 91–106 (1999). https://doi.org/10.1385/ABAB:81:2:91
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DOI: https://doi.org/10.1385/ABAB:81:2:91