pH control in raceway photobioreactors using Extremum Seeking with out-of-bandwidth dither and phase shift compensation Abstract
DOI:
https://doi.org/10.17979/ja-cea.2025.46.12190Keywords:
ESC, Microalgae, Feedfoward, Measurable disturbancesAbstract
This work presents the design and implementation of an Extremum Seeking Control (ESC) approach applied to pH regulation in a microalgae raceway. The dynamics of the system presents a variable and very slow time constant, which prevents the dither signal from being located within the effective bandwidth of the system. Therefore, the dither is placed outside the effective bandwidth, generating attenuation and phase shift in the modulated signal. To counteract this effect, the cutoff frequency of a high-pass filter in the demodulation stage is adjusted so that the total phase shift - resulting from the sum of the system and filter phase shifts - is approximately in the centre of the expected range. This strategy improves the robustness and stability of the ESC to system dynamic variations. In addition, a feedforward action is incorporated to compensate for measurable disturbances caused by incident radiation.
References
Acién, F. G., Fernández, J. M., Magán, J. J., Molina, E., 2012. Production cost of a real microalgae production plant and strategies to reduce it. Biotechnology Advances 30 (6), 1344–1353, special issue on ACB 2011.
Acién, F. G., Molina, E., Reis, A., Torzillo, G., Zittelli, G. C., Sepúlveda, C., Masojídek, J., 2017. Photobioreactors for the production of microalgae. In: Gonzalez-Fernandez, C., Mu˜noz, R. (Eds.), Microalgae-Based Biofuels and Bioproducts. Woodhead Publishing Series in Energy. Woodhead Publishing, pp. 1–44.
Berenguel, M., Rodríguez, F., Acién, F., García, J., 2004. Model predictive control of ph in tubular photobioreactors. Journal of Process Control 14 (4), 377–387.
Caparroz, M., Guzmán, J. L., Berenguel, M., Aci´en, G., 04 2024. A novel data-driven model for prediction and adaptive control of ph in raceway reactor for microalgae cultivation. New Biotechnology 82.
Dewasme, L., Vande Wouwer, A., 2020. Model-free extremum seeking control of bioprocesses: A review with a worked example. Processes 8 (10).
Feudjio Letchindjio, C. G., Dewasme, L., Vande Wouwer, A., 2021. An experimental application of extremum seeking control to cultures of the microalgae scenedesmus obliquus in a continuous photobioreactor. International Journal of Adaptive Control and Signal Processing 35 (7), 1285–1297.
Gil, J. D., Roca, L., Zaragoza, G., P´erez, M., Berenguel, M., 2022. Improving the performance of solar membrane distillation processes for treating high salinity feeds: A process control approach for cleaner production. Journal of Cleaner Production 338, 130446.
González-Hernández, J., Rodríguez-Miranda, E., Guzmán, J. L., Acién Fernández, F. G., Visioli, A., 03 2022. Optimizaci´on de temperatura en reactores raceway para la producci´on de microalgas mediante regulaci´on de nivel. Revista Iberoamericana de Automática e Informática industrial 19, 164–173.
Guzmán, J. L., Hägglund, T., 2024a. Feedforward Control: Analysis, Design, Tuning rules, and Implementation. Walter de Gruyter GmbH & Co KG.
Guzmán, J. L., Hägglund, T., 2024b. Tuning rules for feedforward control from measurable disturbances combined with pid control: a review. International Journal of Control 97 (1), 2–15.
Guzmán, J. L., Acien, G., Berenguel, M., 12 2020. Modelado y control de la producci´on de microalgas en fotobiorreactores industriales 18, 1.
Johnson, D. A., Weissman, J., Goebel, R., 1988. An outdoor test facility for the large-scale production of microalgae. Tech. rep., Solar Energy Research Inst., Golden, CO (USA); Microbial Products, Inc.
Krstic, M., Wang, H.-H., 2000. Stability of extremum seeking feedback for general nonlinear dynamic systems. Automatica 36 (4), 595–601.
Nordio, R., Delgado, F., Sánchez-Zurano, A., González-Hernández, J., Rodríguez-Miranda, E., Guzmán, J. L., Lafarga, T., Acien, G., 11 2022. Long-term assessment of the nutrient recovery capacity and biomass productivity of scenedesmus almeriensis in raceway reactors using unprocesed urban wastewater. Bioresource Technology 369, 128374.
Sánchez-Zurano, A., Rodríguez-Miranda, E., Guzmán, J. L., Acién Fernández, F. G., Fernández-Sevilla, J. M., Molina Grima, E., 2021. Abaco: a new model of microalgae-bacteria consortia for biological treatment of wastewaters. Applied Sciences 11 (3), 998.
Tapie, P., Bernard, A., 1988. Microalgae production: Technical and economic evaluations. Biotechnology and Bioengineering 32 (7), 873–885.
Downloads
Published
Issue
Section
License
Copyright (c) 2025 Jose González-Hernández, Laurent Dewasme, Alain Vande Wouwer, José Luis Guzmán, José Carlos Moreno

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.