Fuzzy Model Based Iterative Learning Control for Phenol Biodegradation

Mürquez, Marco; Waissman, Julio; Gutú, Olivia

doi:10.1007/978-3-540-72950-1_33

Cited by 5 publications

(5 citation statements)

References 8 publications

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“…The mathematical model was proposed and proved in [15], and an estimator design was simulated in [6]. The mass balance equations for the state variables are presented by the differential equations set (1), where the states are the biomass, phenol, intermediate, and oxygen concentrations, and the last one is the volume inside the reactor. Due to agitation, concentrations are assumed to be the same in all the bioreactor.…”

Section: Process Descriptionmentioning

confidence: 99%

Interval Type-2 Fuzzy Observers Applied in Biodegradation

Márquez-Vera

Rodríguez-Romero

Márquez-Vera

et al. 2021

IJRCS

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There exist processes difficult to control because of the lack of inline sensors, as occurs in biotechnology engineering. Commonly the sensor is expensive, damaged, or even they do not exist. It is important to build an observer to have an approximation of the process output to have a closed-loop control. The biotechnological processes are nonlinear, thus in this work is proposed a fuzzy observer to endure nonlinearities. To improve the results reported in the literature, type-2 fuzzy logic was used to justify the membership functions used. The observer's gains were computed via LMIs to guarantee the observer's stability. To facilitate the fuzzy inference computation, interval type-2 fuzzy sets were implemented. The results obtained with the interval type-2 fuzzy observer were compared with a similar technique that uses a fuzzy sliding mode observer; this new approach gives better results obtaining an error 60% lower than the obtained with the other technique. They were designed three observers that work ensemble via a fuzzy relation. The best approximation was to estimate the intermediate concentration. It is important to know this variable because this sub-product was also toxic. It was concluding that by using the oxygen concentration and the liquid volume inside the reactor, the other concentrations were estimated. Finally, this result helps to design a fuzzy controller by using the estimated state. Using this approach, the estimation errors for the phenol and biomass concentrations were 49.26% and 21.27% lower than by using sliding modes.

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Section: Process Descriptionmentioning

confidence: 99%

Interval Type-2 Fuzzy Observers Applied in Biodegradation

Márquez-Vera

Rodríguez-Romero

Márquez-Vera

et al. 2021

IJRCS

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show abstract

“…It is useful when it is difficult to make a mathematical model, or when the system is not well understood [11]. The fuzzy rules are shown as (23) R i : If dy j ðnÞ is f EN and…”

Section: Fuzzy Pd Iterative Controlmentioning

confidence: 99%

“…The biotechnological processes are nonlinear and not well known systems to easily design the observers required, in this way, the fuzzy logic can be used to have an approached model and to used it for the observers design [9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Fuzzy iterative learning control applied in a biological reactor using a reduced number of measures

Márquez-Vera

Ramos-Velasco

Suárez-Cansino

et al. 2014

Applied Mathematics and Computation

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“…Para colocar los polos en la ubicación deseada, es necesario que la suma de los ángulos de los polos y ceros hacia la ubicación deseada sea de 180°, el ángulo i  requerido de obtiene con (6) 1 Re( ) 180 90 arctan Im( )…”

Section: Fig 2 Validación De Los Modelosunclassified

“…Se han desarrollado algunos modelos en la literatura, de manera que se tomó en cuenta una estructura clásica mostrada en [6], en este trabajo se usaron tres funciones de pertenencia para la partición difusa, de manera que se tendrían 3 6 reglas difusas, una estructura jerárquica emplea submodelos colaborativos, e.g. usando tres submodelos para el mismo sistema, es posible usar sólo 3(3 2 ) reglas, este modelo es más fácil de implementar.…”

Section: Introductionunclassified