Controlling continuous bioreactor via nonlinear feedback: modelling and simulations approach

• Autorzy: Aguilar-López R. , Neria-González I.

Identyfikatory

DOI

10.1515/bpasts-2016-0025

• Języki publikacji: EN

Abstrakty

EN

The aim of this work is to present a class of nonlinear controller with an exponential-type feedback in order to regulate the sulfate mass concentration via the input flow in a continuous stirred tank bioreactor of an anaerobic sulfate-reducing process. The corresponding kinetic terms in the bioreactor’s modeling are modeled by unstructured modeling approach, which was experimentally corroborated. A sketch of proof of the closed-loop stability of the considered system is done under the framework of Lyapunov theory. Numerical experiments are conducted to show the performance of the proposed methodology in comparison with a well-tuned sigmoid controller.

Słowa kluczowe

EN

nonlinear feedback; sulfate-reducing process; continuous bioreactors; Lyapunov stability

PL

nieliniowe sprzężenie zwrotne; proces redukcji siarczanu; bioreaktor; metoda Lapunowa

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2016
• Tom: Vol. 64, nr 1
• Strony: 235--241
• Opis fizyczny: Bibliogr. 22 poz., wykr.

Twórcy

autor

Aguilar-López R.

• Department of Biotechnology and Bioengineering, Centro de Investigación y Estudios, Avanzados del Instituto Politécnico Nacional, Av. Instituto Politécnico Nacional No. 2508, Colonia San Pedro Zacatenco, 07360, Ciudad de México D.F., Méxio

autor

Neria-González I.

• Chemical and Biochemical Engineering Division. Tecnológico de Estudios Superiores de Ecatepec. Av. Tecnologico S/N, Colonia Valle de Anahuac, 55210, Ecatepec de Morelos, Edo. Mexico, Mexico

Bibliografia

• [1] P.A. López Pérez, R. Aguilar López, and M.I. Neria González, “Cadmium removal at high concentration in aqueous medium: mediated by Desulfovibrioalaskensis”, Int. J. Env. Sci. and Tech., DOI: 10.1007/s13762-014-0601-4 (2015).
• [2] L.A. Melo-Varela, S. Casanova-Trujillo, and G. Olivar-Tost, “Dynamics of a bioreactor with a bacteria piecewise-linear growth model in a methane-producing process”, Math. Prob. in Engin. ID 685452, DOI.org/10.1155/2013/685452 (2013).
• [3] J. Alvarez-Ramirez and J. Alvarez, “PI regulation for a class of bioreactors: stability and performance”, Int. J. Rob. and Nonlinear Ctl. 24 (5), 918-929 (2014).
• [4] R. Aguilar, J. González, M.A. Barrón, R. Mart´ınez, and R. Maya-Yescas, “Robust PI2 controller for continuous bioreactors”, Proc. Biochem. 36 (10), 1007-1014 (2001).
• [5] I.Y. Smets, J.E. Claes, E.J. November, G.P. Bastin, and J.F. Van Impe, “Optimal adaptive control of (bio)chemical reactors: past, present and future”, J. Proc. Ctl. 14, 795-805 (2004).
• [6] F. Angulo, R. Munoz, and G. Olivar, “Control of a bioreactor using feedback linearization”, Proc. Medit. Conf. on Ctl. Auto. 1, 1-6 (2007).
• [7] M.I. Neria.González, R. Mart´ınez-Guerra, and R. Aguilar- López, “Feedback regulation of an industrial aerobic wastewater plan”, Chem. Eng. J. 139, 475-481 (2008).
• [8] S. Ramaswamy, T. Cutright, and H. Qammar, “Control of a continuous bioreactor using model predictive control”, Proc. Biochem. 40 (8), 2763-2770 (2005).
• [9] M. Bakosova, D. Puna, and A. Meszarosa, “Control of a continuous time stirred tank reactor via robust static output feedback”, Proc. Medit. Conf. on Ctl and Aut. 1, 1-6 (2006).
• [10] S.V. Sunil Kumar, V. Ramesh Kumar, and G. Prabhaker Reddy, “Nonlinear control of bioreactors with input multiplicities- an experimental work”, Bioproc. and Biosyst. Eng. 28 (9), 45-53 (2005).
• [11] J. Boskovic and K.S. Narendra, “Comparison of linear, nonlinear and neural-network based adaptive controllers for a class of fed-batch fermentation processes”, Automatica 31 (6), 817-840 (1995).
• [12] J. Ming-Feng, C. Yuh-Jongn, and C. Yi-Shyong, “Robust adaptive controller for continuous bioreactors”, Biochem. Eng. J. 81, 136-145 (2013).
• [13] D. Coutinho and A. VandeWouwer, “A robust non-linear feedback control strategy for a class of bioprocesses”, IET Ctl. Theory and Appl. 7 (6), 829-841 (2013).
• [14] P.A. López-Pérez, M.I. Neria-González, and R. Aguilar-López, “Nonlinear controller design with application to a continuous bioreactor”, Theo. Found. of Chem. Eng. 47 (5), 585-592 (2013).
• [15] P.A. López-Pérez, M.I. Neria-González, and R. Aguilar-López, “Cadmium concentration stabilization in a continuous sulfate reducing bioreactor via sulfide concentration control”, Chem. Pap. 67 (3), 326-335 (2013).
• [16] M. Reis, J. Lemos, and M. Carrondo, “Effect of hydrogensulfide on growth of sulfate reducing bacteria”, Biotech. and Bioeng. 40 (5), 593-600 (1992).
• [17] M. Reis, P.C. Lemos, J.S. Almeida, and M. Carrondo, “Influence of produced acetic-acid on growth of sulfate reducing bacteria”, Biotech. Lett. 12 (2), 145-148 (1990).
• [18] H. Keehyun and O. Levenspiel, “Extended Monod kinetic for substrate, product, and cell inhibition”, Biotech. and Bioeng. 32, 430-437 (1987).
• [19] V. Peña Caballero, “Analysis of the operation of hybrid processes for the removal of Cr(VI)”, Ph D Thesis, CINVESTAV-IPN, México, 2013, (in Spanish).
• [20] P. Luoudop, H. Fotsin, E.B. Megam Nguonkadi, S. Bowong, and H.A. Cerdeira, “Effective synchronization of a class of chua’s chaotic systems using an exponential feedback coupling”, Abs. and App. Anal. 20 ID 483269, 7 (2013).
• [21] H.K. Khalil, Nonlinear Systems, Prentice Hall, New York, 1996
• [22] A. Kolmer, P. Wikström, and K. Hallberg, “A fast and simple turbidimetric method for the determination of sulfate in sulfatereducing bacteria cultures”, J. Microbio. Meth. 41, 179-184 (2003).

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.