Design of Observers with Sigmoid Function in Their Structure with Numerical Application to a Sulfate Reducing Bioreactor

https://doi.org/10.58571/CNCA.AMCA.2023.055

Resumen: Abstract: sulfate reducing bacteria (SRB) are currently important for the design of alternative technologies for bioremediation. The design of observers and/or controllers are necessary to estimate and/or control the dynamics of SRB bioprocesses. In this work, two adaptive observers with numerical application to the phenomenological model of sulfate removal by Desulfovibrio alaskesis 6SR are proposed to observe the biomass concentration with hydrogen sulfide measurement. The proposed observers contain in their structure an adaptivity term designed by the absolute error weighted by a sigmoid function. The proposed observers are compared using the ITE performance index. The numerical results indicate a better performance for the proposed estimators in contrast to the extended Luenberger observer.

¿Cómo citar?

Luis Fernando, Villaseñor Villagómez; Ma. Isabel, Neria-González; Vicente, Peña Caballero. Design of Observers with Sigmoid Function in Their Structure with Numerical Application to a Sulfate Reducing Bioreactor. Memorias del Congreso Nacional de Control Automático, pp. 319-324, 2023. https://doi.org/10.58571/CNCA.AMCA.2023.055

Palabras clave

Modelado e Identificación de Sistemas

• Barton, L. L., & Fauque, G. D. (2009). Chapter 2 Biochemistry, Physiology and Biotechnology of Sulfate Reducing Bacteria. Advances in Applied Microbiology, 41–98. doi:10.1016/s0065-2164(09)01202-7
• Hao, O. J. (2003). Sulphate-reducing bacteria. Handbook of Water and Wastewater Microbiology, 459-469. doi:10.1016/b978-012470100-7/50029-7
• Kushkevych, I., Hýžová, B., Vítězová, M., & Rittmann, S. K.-M. R. (2021). Microscopic Methods for Identification of Sulfate-Reducing Bacteria from Various Habitats. International Journal of Molecular Sciences, 22(8), 4007. https://doi.org/10.3390/ijms22084007
• Li, X., Lan, S., Zhu, Z., Zhang, C., Zeng, G., Liu, Y., Wu, S. (2018). The bioenergetics mechanisms and applications of sulfate-reducing bacteria in remediation of pollutants in drainage: A review. Ecotoxicology and Environmental Safety, 158, 162-170. doi:10.1016/j.ecoenv.2018.04.025
• Álvarez Márquez, D. E. (2022). Principales microorganismos sulfato reductores (MSR) de reactores anaerobios alimentados con efluentes ácidos, una revisión bibliográfica. Revista Colombiana de Biotecnología, 24(1), 62-76. https://doi.org/10.15446/rev.colomb.biote.v24n1.100963
• Luo, J., Weber, F.-A., Cirpka, O. A., Wu, W.-M., Nyman, J. L., Carley, J., … Kitanidis, P. K. (2007). Modeling in-situ uranium(VI) bioreduction by sulfate-reducing bacteria. Journal of Contaminant Hydrology, 92(1-2), 129-148. doi:10.1016/j.jconhyd.2007.01.004
• Smith, N. W., Shorten, P. R., Altermann, E., Roy, N. C., & McNabb, W. C. (2019). A Mathematical Model for the Hydrogenotrophic Metabolism of Sulphate-Reducing Bacteria. Frontiers in Microbiology, 10. doi:10.3389/fmicb.2019.01652
• Aguilar-López, R., & Acevedo-Gómez, R. (2009). Exponential Observer Design for State Estimation in a Class of Anaerobic Sulfate Reducing Bioreactor. Chemical Product and Process Modeling, 4(2). doi:10.2202/1934-2659.1289
• Neria-González, M.I., Figueroa-Estrada, J.C., Cruz-Diaz, M.R., & Aguilar-López, R.. (2011). Adaptive smooth observer design for state estimation in Desulfovibrio alaskensis 6SR cultures. Revista mexicana de ingeniería química, 10(1), 137-146. Recuperado en 14 de junio de 2023, de http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S1665-27382011000100014&lng=es&tlng=en.
• Gómez-Acata, R. V., Neria-Gonzalez, M. I., & Aguilar-López, R. (2016). Robust software sensor design for the state estimation in a sulfate-reducing bioreactor. Theoretical Foundations of Chemical Engineering, 50, 67-75.
• Peña Caballero, “Analysis of the operation of hybrid processes for the removal of Cr(VI)”, Ph D Thesis, CINVESTAV-IPN, México, 2013, (in Spanish).
• John S. Bay. Fundamentals of Linear State Space Systems. WCB/McGraw-Hill, 1999.