Robust reduced-order observer applied to a biodigester
Abstract
This work described the state observation problem for the nonlinear dynamics of a biodigester where parametric variation and uncertainties in its behavior are present due to the operating environment of the system. The proposed development considers a separation between measurable and non-measurable variables by means of a transformation, also by using LMI it is concluded the concept of Uniformly Bounded Ultimate Stability on the estimation error. For this purpose, an observation function is designed that considers the estimation error associated to the state variables that are not quantified online. The reconstruction of the unavailable variables is performed by solving a linear matrix inequality. To demonstrate the performance of the observer, the algorithm is applied to a biodigester containing parametric variations in the bioprocess of biogas production.
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Batstone, D. J., Keller, J., Angelidaki, I., Kalyuzhnyi, S., Pavlostathis, S., Rozzi, A., Sanders, W., Siegrist, H., and Vavilin, V. (2002). The iwa anaerobic digestion model no 1 (adm1). Water Science and technology, 45(10):65–73.
Bernard, O., Hadj-Sadok, Z., and Dochain, D. (2000). Software sensors to monitor the dynamics of microbial communities: application to anaerobic digestion. Acta biotheoretica, 48(3):197–205.
Fedailaine, M., Moussi, K., Khitous, M., Abada, S., Saber, M., and Tirichine, N. (2015). Modeling of the anaerobic digestion of organic waste for biogas production. Procedia Computer Science, 52:730–737.
Gasca, C. E. (2013). Transición energética, energías renovables y energía solar de potencia. Revista Mexicana de Física, 59(2):75–84.
Genocchi, A. (1884). Calcolo diferenziale e principii di calcolo integrale, volume 1. Bocca.
Guevara, O. J. C. (2014). Fuentes renovables y generación de energía limpia su regulación en honduras. La Revista de Derecho, 35:93–112.
Jeong, H.-S., Suh, C.-W., Lim, J.-L., Lee, S.-H., and Shin, H.-S. (2005). Analysis and application of adm1 for anaerobic methane production. Bioprocess and biosystems engineering, 27(2):81–89.
Kazemi, P., Steyer, J.-P., Bengoa, C., Font, J., and Giralt, J. (2020). Robust datadriven soft sensors for online monitoring of volatile fatty acids in anaerobic digestion processes. Processes, 8(1):67.
Khalil, H. K. (1996). Noninear systems. Prentice-Hall, New Jersey, 2.
López-Pérez, P., Neria-González, M., and Aguilar-López, R. (2013). Nonlinear controller design with application to a continuous bioreactor. Theoretical Foundations of Chemical Engineering, 47(5):585–592.
López-Pérez, P., Neria-González, M., and Aguilar-López, R. (2016). Improvement of activated sludge process using a nonlinear pi controller design via adaptive gain. International Journal of Chemical Reactor Engineering, 14(1):407–416.
Pérez, P. L., González, M. N., and López, R. A. (2013). Cadmium concentration stabilization in a continuous sulfate reducing bioreactor via sulfide concentration control. Chemical Papers, 67(3):326–335.
Rao, P. V., Baral, S. S., Dey, R., and Mutnuri, S. (2010). Biogas generation potential by anaerobic digestion for sustainable energy development in india. Renewable and sustainable energy reviews, 14(7):2086–2094.
Ruíz-Leza, H., Rodríguez-Jasso, R., Rodríguez-Herrera, R., Contreras- Esquivel, J., and Aguilar, C. (2007). Diseño de biorreactores para fermentación en medio sólido. Revista Mexicana de ingeniería química, 6(1):33–40.
Sbarciog, M., Loccufier, M., and Noldus, E. (2010). Determination of appropriate operating strategies for anaerobic digestion systems. Biochemical engineering journal, 51(3):180–188.
Sonnenenergie DGf, E. (2005). Planning and installing bioenergy systems: A guide for installers, architects, and engineers, vol. 1. Earthscan, UK.
Torres, A. D. (1996). Evaluación de los parámetros cinéticos de la ecuación de monod. Ingeniería e Investigación, (33):123–138.
Weiland, P. (2010). Biogas production: current state and perspectives. Applied microbiology and biotechnology, 85(4):849–860.
