Estimation of Sporulated Cell Concentration of Bacillus thuringiensis in a Batch Biochemical Reactor via Simple State Observers

José Luis Zárate-Castrejón, Pablo A. López-Pérez, Milagros López-López, Carlos A. Núñez-Colín, Rafael A. Veloz-García, Hamid Mukhtar and Vicente Peña-Caballero ()
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José Luis Zárate-Castrejón: Programa de Biotecnología, División de Ciencias de la Salud e Ingenierías, Campus Celaya-Salvatierra, Universidad de Guanajuato, Mutualismo #303, Col. La Suiza, Celaya 38060, Guanajuato, Mexico
Pablo A. López-Pérez: Escuela Superior de Apan, Universidad Autónoma del Estado de Hidalgo, Carretera Apan-Calpulalpan, Km.8., Chimalpa Tlalayote s/n, Apan 43900, Hidalgo, Mexico
Milagros López-López: Institute of Industrial Biotechnology, Government College University, Lahore 54000, Pakistan
Carlos A. Núñez-Colín: Programa de Biotecnología, División de Ciencias de la Salud e Ingenierías, Campus Celaya-Salvatierra, Universidad de Guanajuato, Mutualismo #303, Col. La Suiza, Celaya 38060, Guanajuato, Mexico
Rafael A. Veloz-García: Programa de Biotecnología, División de Ciencias de la Salud e Ingenierías, Campus Celaya-Salvatierra, Universidad de Guanajuato, Mutualismo #303, Col. La Suiza, Celaya 38060, Guanajuato, Mexico
Hamid Mukhtar: Institute of Industrial Biotechnology, Government College University, Lahore 54000, Pakistan
Vicente Peña-Caballero: Programa de Biotecnología, División de Ciencias de la Salud e Ingenierías, Campus Celaya-Salvatierra, Universidad de Guanajuato, Mutualismo #303, Col. La Suiza, Celaya 38060, Guanajuato, Mexico

Mathematics, 2024, vol. 12, issue 24, 1-26

Abstract: This paper presents a contrast of two different observation strategies viz a nonlinear observer and a classical extended Luenberger observer applied to a bioreactor system for Bacillus thuringiensis production. The performance of the two observers was evaluated under different conditions, both with and without state perturbations. Firstly, equal initial conditions were considered without the presence of white noise in the measurement of dissolved oxygen concentration in the culture medium. The performance was then analyzed by perturbing the maximum cell growth rate with equal and different initial conditions, and, finally, the performance of the observer with the presence of white noise was evaluated. The proposed observer performed better than the extended Luenberger observer against initial conditions different from the model. The results of this study are of great interest, as they provide insight into the estimation of the state of the dynamics for the B. thuringiensis bioreactor in a batch mode. In addition, these results provide valuable information for future research in the design of observers for B. thuringiensis bioprocessing.

Keywords: observer design; bioprocess state estimation; observability; batch biochemical reactor; modeling bioreactor; nonlinear observer (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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