Effects of real random perturbations on Monod and Haldane consumption functions in the chemostat model

Caraballo, Tomás; López-de-la-Cruz, Javier; Caraballo-Romero, Verónica

doi:10.1016/j.matcom.2023.11.035

Mathematics and Computers in Simulation

2024

DOI: 10.1016/j.matcom.2023.11.035

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Effects of real random perturbations on Monod and Haldane consumption functions in the chemostat model

Tomás Caraballo,

Javier López-de-la-Cruz,

Verónica Caraballo-Romero

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2024

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Cited by 1 publication

References 28 publications

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

Zárate-Castrejón,

López-Pérez,

López-López

et al. 2024

Mathematics

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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.

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

Zárate-Castrejón,

López-Pérez,

López-López

et al. 2024

Mathematics

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show abstract

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Effects of real random perturbations on Monod and Haldane consumption functions in the chemostat model

Cited by 1 publication

References 28 publications

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

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

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