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Modelling and Adaptive Control of a Yeast Fermentation Process inside a Fed-batch Bioreactor

Year 2015, Volume: 3 Issue: 4, 237 - 243, 04.12.2015
https://doi.org/10.18100/ijamec.96711

Abstract

This work presents several issues concerning the modelling, kinetic estimation and nonlinear control of a baker’s yeast process that takes place inside a fed-batch bioreactor (FBB). First, a nonlinear model of the bioprocess is presented taking into consideration two approaches: the classical modelling scheme and the bond graph method. Second, to reconstruct the missing on-line kinetic information, estimation strategies are proposed. Finally, by using the process dynamical model and the on-line estimation strategies, an adaptive control scheme is designed in order to maintain a certain level of ethanol concentration, regardless of uncertainties and disturbances. This objective is attained by designing an adaptive controller as a combination between a linearizing control law and a high-gain observer. Numerical simulations are provided to illustrate the behaviour of the proposed estimation and control techniques.

References

  • Bastin G. and Dochain D. On-line Estimation and Adaptive Control of Bioreactors, Elsevier, Amsterdam, 1990.
  • Dochain D., Ed. Automatic Control of Bioprocesses, ISTE and John Wiley & Sons, London, 2008.
  • Sonnleitner B. and Käppeli O. Growth of Saccharomyces cerevisiae is controlled by its limited respiratory capacity: Formulation and verification of a hypothesis, Biotechnology and Bioengineering, Vol. 28, No. 6, 1986, pp. 927-937.
  • Ferreira E.C. Identification and adaptive control of biotechnological processes, PhD thesis, University of Porto, 1995.
  • Ignatova M., Patarinska T., Ljubenova V., Bucha J., Bohm J. and Nedoma P. Adaptive stabilisation of ethanol production during the continuous fermentation of Saccharomyces cerevisiae, IEE Proc. Control Theory and Applications, Vol. 150, No. 6, 2003, pp. 666-672.
  • Georgieva P., Ilchmann A. and Weiring M.F. Modelling and adaptive control of aerobic continuous stirred tank reactors, European Journal of Control, Vol. 7, No. 5, 2001, pp. 476-491.
  • Karakuzu C., Türker M. and Öztürk S. Modelling, on-line state estimation and fuzzy control of production scale fed-batch baker's yeast fermentation, Control Engineering Practice, Vol. 14, 2006, pp. 959-974.
  • Selişteanu D., Petre E., Roman M., Şendrescu D. Estimation of kinetic rates in a baker’s yeast fed-batch bioprocess by using nonlinear observers, IET Control Theory & Applications, Vol. 6, No. 2, 2012, pp. 243-253.
  • Heny C., Simanca D. and Delgado M. Pseudo-bond graph model and simulation of a continuous stirred tank reactor, Journal of Franklin Institute, Vol. 337, 2000, pp. 21-42.
  • Couenne F., Jallut C., Maschke B., Breedveld P.C. and Tayakout M. Bond graph modelling for chemical reactors, Mathematical and Computer Modelling of Dynamical Systems, Vol. 12, No. 2, 2006, pp. 159-174.
  • Roman M. Modeling and simulation of a fed-batch baker’s yeast bioprocess, Proceedings of the 14th International Conference on System Theory and Control, pp. 473-479, 17-19 October 2010, Romania, Sinaia.
  • Farza M., Busawon K. and Hammouri H. Simple nonlinear observers for on-line estimation of kinetic rates in bioreactors, Automatica, Vol. 34, No. 3, 1998, pp. 301-318.
  • Gauthier J.P., Hammouri H. and Othman S. A simple observer for nonlinear systems. Applications to bioreactors, IEEE Transactions on Automatic Control, Vol. 37, No. 6, 1992, pp. 875-880.
  • Khalil H.K. High-gain observers in nonlinear feedback control, Proceedings of International Conference on Control, Automation and Systems (ICCAS2008), pp xlvii-lvii, 14-17 October 2008, Korea, Seoul.
  • Pomerleau Y. and Perrier M. Estimation of multiple specific growth rates in bioprocesses, AIChE Journal, Vol. 36, No. 2, 1990, pp. 207-215.
  • Pomerleau Y. and Perrier M. Estimation of multiple specific growth rates: Experimental validation, AIChE Journal, Vol. 8, No. 11, 1992, pp. 1751-1760.
  • Oliveira R., Ferreira E.C. and Feyo de Azevedo S. Stability, dynamics of convergence and tuning of observer-based kinetics estimators, Journal of Process Control, Vol. 12, No. 2, 2002, pp. 311-323.
  • Hocalar A., Türker M., Karakuzu C. and Yüzgeç U. Comparison of different estimation techniques for biomass concentration in large scale yeast fermentation, ISA Transactions, Vol. 50, 2011, pp. 303-314.
  • Selişteanu D., Petre E., Roman M., Șendrescu D. and Popescu D. On-line estimation of kinetic rates in a baker’s yeast fed-batch bioprocess, Proceedings of the 29th Chinese Control Conference (CCC2010), pp. 1247-1253, 29-31 July 2010, China, Beijing.
  • Chen L., Bastin G. and van Breusegem V. A case study of adaptive nonlinear regulation of fed-batch biological reactors, Automatica, Vol. 31, No. 1, 1995, pp. 55-65.
  • Renard F. and Vande Wouwer A., Robust adaptive control of yeast fed-batch cultures, Computers and Chemical Engineering, Vol. 32, No. 6, 2008, pp. 1238-1248.
  • Isidori A. Nonlinear Control Systems, 3rd ed., Springer-Verlag, Berlin, 1995.
Year 2015, Volume: 3 Issue: 4, 237 - 243, 04.12.2015
https://doi.org/10.18100/ijamec.96711

Abstract

References

  • Bastin G. and Dochain D. On-line Estimation and Adaptive Control of Bioreactors, Elsevier, Amsterdam, 1990.
  • Dochain D., Ed. Automatic Control of Bioprocesses, ISTE and John Wiley & Sons, London, 2008.
  • Sonnleitner B. and Käppeli O. Growth of Saccharomyces cerevisiae is controlled by its limited respiratory capacity: Formulation and verification of a hypothesis, Biotechnology and Bioengineering, Vol. 28, No. 6, 1986, pp. 927-937.
  • Ferreira E.C. Identification and adaptive control of biotechnological processes, PhD thesis, University of Porto, 1995.
  • Ignatova M., Patarinska T., Ljubenova V., Bucha J., Bohm J. and Nedoma P. Adaptive stabilisation of ethanol production during the continuous fermentation of Saccharomyces cerevisiae, IEE Proc. Control Theory and Applications, Vol. 150, No. 6, 2003, pp. 666-672.
  • Georgieva P., Ilchmann A. and Weiring M.F. Modelling and adaptive control of aerobic continuous stirred tank reactors, European Journal of Control, Vol. 7, No. 5, 2001, pp. 476-491.
  • Karakuzu C., Türker M. and Öztürk S. Modelling, on-line state estimation and fuzzy control of production scale fed-batch baker's yeast fermentation, Control Engineering Practice, Vol. 14, 2006, pp. 959-974.
  • Selişteanu D., Petre E., Roman M., Şendrescu D. Estimation of kinetic rates in a baker’s yeast fed-batch bioprocess by using nonlinear observers, IET Control Theory & Applications, Vol. 6, No. 2, 2012, pp. 243-253.
  • Heny C., Simanca D. and Delgado M. Pseudo-bond graph model and simulation of a continuous stirred tank reactor, Journal of Franklin Institute, Vol. 337, 2000, pp. 21-42.
  • Couenne F., Jallut C., Maschke B., Breedveld P.C. and Tayakout M. Bond graph modelling for chemical reactors, Mathematical and Computer Modelling of Dynamical Systems, Vol. 12, No. 2, 2006, pp. 159-174.
  • Roman M. Modeling and simulation of a fed-batch baker’s yeast bioprocess, Proceedings of the 14th International Conference on System Theory and Control, pp. 473-479, 17-19 October 2010, Romania, Sinaia.
  • Farza M., Busawon K. and Hammouri H. Simple nonlinear observers for on-line estimation of kinetic rates in bioreactors, Automatica, Vol. 34, No. 3, 1998, pp. 301-318.
  • Gauthier J.P., Hammouri H. and Othman S. A simple observer for nonlinear systems. Applications to bioreactors, IEEE Transactions on Automatic Control, Vol. 37, No. 6, 1992, pp. 875-880.
  • Khalil H.K. High-gain observers in nonlinear feedback control, Proceedings of International Conference on Control, Automation and Systems (ICCAS2008), pp xlvii-lvii, 14-17 October 2008, Korea, Seoul.
  • Pomerleau Y. and Perrier M. Estimation of multiple specific growth rates in bioprocesses, AIChE Journal, Vol. 36, No. 2, 1990, pp. 207-215.
  • Pomerleau Y. and Perrier M. Estimation of multiple specific growth rates: Experimental validation, AIChE Journal, Vol. 8, No. 11, 1992, pp. 1751-1760.
  • Oliveira R., Ferreira E.C. and Feyo de Azevedo S. Stability, dynamics of convergence and tuning of observer-based kinetics estimators, Journal of Process Control, Vol. 12, No. 2, 2002, pp. 311-323.
  • Hocalar A., Türker M., Karakuzu C. and Yüzgeç U. Comparison of different estimation techniques for biomass concentration in large scale yeast fermentation, ISA Transactions, Vol. 50, 2011, pp. 303-314.
  • Selişteanu D., Petre E., Roman M., Șendrescu D. and Popescu D. On-line estimation of kinetic rates in a baker’s yeast fed-batch bioprocess, Proceedings of the 29th Chinese Control Conference (CCC2010), pp. 1247-1253, 29-31 July 2010, China, Beijing.
  • Chen L., Bastin G. and van Breusegem V. A case study of adaptive nonlinear regulation of fed-batch biological reactors, Automatica, Vol. 31, No. 1, 1995, pp. 55-65.
  • Renard F. and Vande Wouwer A., Robust adaptive control of yeast fed-batch cultures, Computers and Chemical Engineering, Vol. 32, No. 6, 2008, pp. 1238-1248.
  • Isidori A. Nonlinear Control Systems, 3rd ed., Springer-Verlag, Berlin, 1995.
There are 22 citations in total.

Details

Journal Section Research Article
Authors

Dan Selisteanu

Monica Roman This is me

Emil Petre This is me

Dorin Sendrescu This is me

Publication Date December 4, 2015
Published in Issue Year 2015 Volume: 3 Issue: 4

Cite

APA Selisteanu, D., Roman, M., Petre, E., Sendrescu, D. (2015). Modelling and Adaptive Control of a Yeast Fermentation Process inside a Fed-batch Bioreactor. International Journal of Applied Mathematics Electronics and Computers, 3(4), 237-243. https://doi.org/10.18100/ijamec.96711
AMA Selisteanu D, Roman M, Petre E, Sendrescu D. Modelling and Adaptive Control of a Yeast Fermentation Process inside a Fed-batch Bioreactor. International Journal of Applied Mathematics Electronics and Computers. December 2015;3(4):237-243. doi:10.18100/ijamec.96711
Chicago Selisteanu, Dan, Monica Roman, Emil Petre, and Dorin Sendrescu. “Modelling and Adaptive Control of a Yeast Fermentation Process Inside a Fed-Batch Bioreactor”. International Journal of Applied Mathematics Electronics and Computers 3, no. 4 (December 2015): 237-43. https://doi.org/10.18100/ijamec.96711.
EndNote Selisteanu D, Roman M, Petre E, Sendrescu D (December 1, 2015) Modelling and Adaptive Control of a Yeast Fermentation Process inside a Fed-batch Bioreactor. International Journal of Applied Mathematics Electronics and Computers 3 4 237–243.
IEEE D. Selisteanu, M. Roman, E. Petre, and D. Sendrescu, “Modelling and Adaptive Control of a Yeast Fermentation Process inside a Fed-batch Bioreactor”, International Journal of Applied Mathematics Electronics and Computers, vol. 3, no. 4, pp. 237–243, 2015, doi: 10.18100/ijamec.96711.
ISNAD Selisteanu, Dan et al. “Modelling and Adaptive Control of a Yeast Fermentation Process Inside a Fed-Batch Bioreactor”. International Journal of Applied Mathematics Electronics and Computers 3/4 (December 2015), 237-243. https://doi.org/10.18100/ijamec.96711.
JAMA Selisteanu D, Roman M, Petre E, Sendrescu D. Modelling and Adaptive Control of a Yeast Fermentation Process inside a Fed-batch Bioreactor. International Journal of Applied Mathematics Electronics and Computers. 2015;3:237–243.
MLA Selisteanu, Dan et al. “Modelling and Adaptive Control of a Yeast Fermentation Process Inside a Fed-Batch Bioreactor”. International Journal of Applied Mathematics Electronics and Computers, vol. 3, no. 4, 2015, pp. 237-43, doi:10.18100/ijamec.96711.
Vancouver Selisteanu D, Roman M, Petre E, Sendrescu D. Modelling and Adaptive Control of a Yeast Fermentation Process inside a Fed-batch Bioreactor. International Journal of Applied Mathematics Electronics and Computers. 2015;3(4):237-43.