Studies on optimal control approach in a fed-batch fermentation

Amornchai Arpornwichanop; Natthapong Shomchoam

Korean Journal of Chemical Engineering, Vol.24, No.1, 11-15, January, 2007

DOI10.1007/s11814-007-5002-7 Export Citation

Studies on optimal control approach in a fed-batch fermentation

Amornchai Arpornwichanop^†, and Natthapong Shomchoam

Department of Chemical Engineering, Faculty of Engineering, Chulalongkorn University, Bangkok 10330, Thailand

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Fed-batch operation of fermentation processes has been receiving a great deal of interest as it offers the possibility to control a substrate concentration at a desired condition. However, control of a fed-batch fermentation reactor has been known to be a difficult task due to its highly nonlinear and complicated behavior. This work addresses an optimization-based control strategy for a fed-batch bioreactor where an ethanol fermentation process is chosen as a case study. The optimal control problem is formulated to determine the optimal feeding rate policy giving the highest product yield. The resulting optimization problem is solved by using an efficient sequential approach with a piecewise constant control parameterization. Due to the limitation of the sequential approach to cope with inequality path constraints, comparative studies of the methods for handling such constraints are carried out. Furthermore, the impact of time interval and switching time on the solution of the optimal control is investigated.

Keywords:Optimal Control;Path Constraints;Fed-Batch Reactor;Fermentation Process

[References]

Arpornwichanop A, Kittisupakorn A, Mujtaba IM, Chem. Eng. Process., 44(1), 101 (2005)
Aziz N, Mujtaba IM, Chem. Eng. J., 85(2-3), 313 (2002)
Banga JR, Alonso AA, Singh RP, Biotechnol. Prog., 13, 326 (1997)
Bryson AE, Ho YC, Applied optimal control, Hemisphere, Washington DC (1975)
Carvantes A, Biegler LT, Optimization strategies for dynamic systems, Encyclopedia of Optimization, C. Floudas and P. Pardalos eds., Kluwer Academic Publishers, Dordrecht, The Netherlands (1999)
Chen CT, Hwang C, Chem. Eng. Commun., 97, 9 (1990)
Cuthrell T, Biegler LT, Comput. Chem. Eng., 8, 243 (1984)
Hong J, Biotechnol. Bioeng., 28, 1421 (1986)
Lee JW, Yoo YJ, Korean J. Chem. Eng., 11(2), 119 (1994)
Luus R, Comput. Chem. Eng., 17, 373 (1993)
Morison KR, Optimal control of process described by systems of differential and algebraic equations, PhD Thesis, University of London (1984)
Patkar A, Lee DH, Seo JH, Korean J. Chem. Eng., 10(3), 146 (1993)
Rani KY, Rao VS, Bioprocess Eng., 21, 77 (1999)
Sargent RWH, Sullivan GR, The development of an efficient optimal control package, in: Proceedings of the IFIP Conference on Optimal Techniques (1997)
Vemuri YJ, Real-time optimization of semi-batch reactors, Ph.D. dissertation, Florida State University (2004)
Xiong Z, Zhang J, Neurocomputing, 61, 317 (2004)
Zavala VM, Flores-Tlacuahuac A, Vivaldo-Lima E, Chem. Eng. Sci., 60(11), 3061 (2005)

[Referenced By]

[1] Arpornwichanop A, Kittisupakorn A, Mujtaba IM, Chem. Eng. Process., 44(1), 101 (2005)

[2] Aziz N, Mujtaba IM, Chem. Eng. J., 85(2-3), 313 (2002)

[3] Banga JR, Alonso AA, Singh RP, Biotechnol. Prog., 13, 326 (1997)

[4] Bryson AE, Ho YC, Applied optimal control, Hemisphere, Washington DC (1975)

[5] Carvantes A, Biegler LT, Optimization strategies for dynamic systems, Encyclopedia of Optimization, C. Floudas and P. Pardalos eds., Kluwer Academic Publishers, Dordrecht, The Netherlands (1999)

[6] Chen CT, Hwang C, Chem. Eng. Commun., 97, 9 (1990)

[7] Cuthrell T, Biegler LT, Comput. Chem. Eng., 8, 243 (1984)

[8] Hong J, Biotechnol. Bioeng., 28, 1421 (1986)

[9] Lee JW, Yoo YJ, Korean J. Chem. Eng., 11(2), 119 (1994)

[10] Luus R, Comput. Chem. Eng., 17, 373 (1993)

[11] Morison KR, Optimal control of process described by systems of differential and algebraic equations, PhD Thesis, University of London (1984)

[12] Patkar A, Lee DH, Seo JH, Korean J. Chem. Eng., 10(3), 146 (1993)

[13] Rani KY, Rao VS, Bioprocess Eng., 21, 77 (1999)

[14] Sargent RWH, Sullivan GR, The development of an efficient optimal control package, in: Proceedings of the IFIP Conference on Optimal Techniques (1997)

[15] Vemuri YJ, Real-time optimization of semi-batch reactors, Ph.D. dissertation, Florida State University (2004)

[16] Xiong Z, Zhang J, Neurocomputing, 61, 317 (2004)

[17] Zavala VM, Flores-Tlacuahuac A, Vivaldo-Lima E, Chem. Eng. Sci., 60(11), 3061 (2005)