Control of a Class of Sulfate Reducing Chemostat Via Feedback Polynomial Injection

 

R. Aguilar–Lopez *¹, V. Peña–Caballero², M. I. Neria–Gonzalez³

 

^1,2 Departamento de Biotecnología y Bioingeniería CINVESTAV–IPN, 2508 I.P.N. Av., San Pedro Zacatenco, Mexico City, Mexico, 07360 *E–mail: raguilar@cinvestav.mx

³ División de Ingeniería Química y Bioquímica, Tecnológico de Estudios Superiores de Ecatepec, Tecnológico Av., Ecatepec, Mexico, 53210

 

ABSTRACT

The main goal of this work is to present a new class of feedback controller which contains on its structure a polynomial form of the named control error, the proposed controller is applied to a class of sulfate–reducing chemostat in order to control the sulfate concentration, which would be useful for several biotechnological issues, as heavy metal removal in wastewater. The closed–loop behavior of the chemostat is theoretically analyzed and a practical convergence to the selected optimum trajectory is proved. The proposed methodology is applied to an experimentally corroborated kinetic model of a sulfate–reducing bacterium and further numerical experiments show the satisfactory closed–loop performance of the process in comparison with other controllers.

Keywords: Sulfate reducing chemostat, polynomial feedback, closed–loop stability.

 

RESUMEN

El principal objetivo de este trabajo es el presentar una nueva clase de controlador de tipo retroalimentado, el cual contiene en su estructura una forma polinomial del llamado error de control, el controlador propuesto es aplicado a un quimiostato sulfato–reductor, el cual pudiera ser usado para varios fines biotecnológicos, como la remoción de metales pesados en aguas residuales. El comportamiento a lazo cerrado del quimiostato considerado es teóricamente analizado y se prueba convergencia práctica a la trayectoria óptima seleccionada. La metodología propuesta es aplicada a un modelo cinético de una bacteria sulfato–reductora experimentalmente validado y experimentos numéricos complementarios muestran un comportamiento a lazo cerrado satisfactorio en comparación con otros controladores.

 

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