Abstract
Monitoring and control of anaerobic digestion of organic wastes by microorganisms are parts of actual world efforts to preserve environment. The anaerobic digestion is a biochemical process in which microorganisms (or bacteria) biodegrade organic matters into biogas (methane and carbon dioxide). Given the complexity of biochemical processes going on in such a bioreactor, control models are almost exclusively written in terms of mass balances of various species of interest. Such models are highly nonlinear and may contain many parameters which need to be identified. But the most challenging part of this estimation work concerns the online estimation of a key variable named the specific growth rates of microorganisms. It is invoked in most mass balance models. There is no devices to measure it so as techniques of estimation are very welcome in this field. The communication presents how differential algebraic decision methods can help find partial answers to the problem of online estimation of biomass specific growth rates based upon easily available measurements.
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References
Diop, S.: Differential algebraic decision methods, and some applications to system theory. Theoret. Comput. Sci. 98, 137–161 (1992)
Diop, S.: From the geometry to the algebra of nonlinear observability. In: Anzaldo-Meneses, A., Bonnard, B., Gauthier, J.P., Monroy-Perez, F. (eds.) Contemporary Trends in Nonlinear Geometric Control Theory and its Applications, pp. 305–345. World Scientific Publishing Co, Singapore (2002)
Diop, S., Fliess, M.: On nonlinear observability. In: Commault, C., Normand-Cyrot, D., Dion, J.M., Dugard, L., Fliess, M., Titli, A., Cohen, G., Benveniste, A., Landau, I.D. (eds.) Proceedings of the European Control Conference, Hermès, Paris, pp. 152–157 (1991)
Dochain, D., Vanrolleghem, P.A.V.: Dynamical Modeling and Estimation in Wastewater Treatment Processes. IWA Publishing, London (2001)
Fliess, M.: Quelques remarques sur les observateurs non linéaires. In: Proceedings Colloque GRETSI Traitement du Signal et des Images, GRETSI, pp. 169–172 (1987)
Galava, H.V., Angelidaki, I., Ahring, B.K.: Kinetics and modeling of anaerobic digestion process. Adv. Biochem. Engrg. Biotechnol. 81, 57–93 (2003)
Glad, S.T., Ljung, L.: Model structure identifiability and persistence of excitation. In: Proceedings of the IEEE Conference on Decision and Control, IEEE Press, New York (1990)
Hill, D.T., Barth, C.L.: A dynamic model for simulation of animal waste digestion. J. Water Pollution Center Fed. 10, 2129 (1977)
Karakashev, D., Simeonov, I., Galabova, D., Stefanova, L., Yordanov, St.: Mathematical model of the anaerobic biodegradation of waste activated sludge from municipal wastewaters treatment plants. J. Ecological Engrg. Environment Protection 3, 58–67 (2004)
Kolchin, E.R.: Differential Algebra and Algebraic Groups. Academic Press, New York (1973)
Pommaret, J.F.: Géométrie différentielle algébrique et théorie du contrôle. C.R. Acad. Sci. Paris Sér. I 302, 547–550 (1986)
Simeonov, I.: Mathematical modeling and parameters estimation of anaerobic fermentation processes. Bioprocess Engrg. 21, 377–381 (1999)
Simeonov, I.: Modelling and control of biological anaerobic wastewaters treatment processes. Internat. J. Archives of Control Sciences 9, 53–78 (1999)
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Chorukova, E., Diop, S., Simeonov, I. (2007). On Differential Algebraic Decision Methods for the Estimation of Anaerobic Digestion Models. In: Anai, H., Horimoto, K., Kutsia, T. (eds) Algebraic Biology. AB 2007. Lecture Notes in Computer Science, vol 4545. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73433-8_15
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DOI: https://doi.org/10.1007/978-3-540-73433-8_15
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