Análisis del desempeño de controladores lineales sintonizados en diferentes estados estacionarios del biorreactor de Cholette mediante técnicas de decisión multi-criterio
Comparative performance analysis of different linear controllers tuned for several Cholette's bioreactor steady states using multi-criteria decision making techniques
A. Rodríguez-Mariano2, G. Reynoso-Meza3, D.E. Páramo-Calderón4, E. Chávez-Conde2, M.A. García-Alvarado5 y J. Carrillo-Ahumada1*
1 Universidad del Papaloapan, Instituto de Química Aplicada. Circuito Central 200, colonia Parque Industrial, Tuxtepec, Oax., México 68301. *Autor para la correspondencia. E-mail: jcarrillo@unpa.edu.mx; jesuscarrillo18@yahoo.com, Tel. 01 (287) 87 5 92 40 Ext. 230.
2 Universidad del Papaloapan, Instituto de Agroingeniería. Av. Ferrocarril s/n, Cd. Universitaria, Loma Bonita, Oax., México 68400.
]]> 3 Programa de Posgraduados en Ingeniería de la Producción y Sistemas (PPGEPS). Pontificia Universidad Católica de Paraná (PUCPR). Inmaculada Concepción 1155(80215-901). Curitiba (PR), Brasil.4 Universidad del Papaloapan, Instituto de Biotecnología. Circuito Central 200, Colonia Parque Industrial, Tuxtepec, Oax., México C.P. 68301.
5 Departamento de Ingeniería Química y Bioquímica. Instituto Tecnológico de Veracruz. Av. Miguel Ángel de Quevedo 2779, Veracruz, Ver, México 91860.
Recibido 30 de Abril de 2014
Aceptado 10 de Marzo de 2015
Resumen
En este trabajo se presenta un análisis comparativo del desempeno de diferentes controladores lineales desarrollados para el biorreactor de Cholette en sus diferentes modelos y estados estacionarios. Para tal finalidad, se emplearon y reformularon los índices de desempeño IAE, ISE, ITAE, ISU e IADU para evaluarlos mediante técnicas de decisión multi-criterio utilizando la metodología PROMETHEE. Los resultados demuestran la factibilidad del criterio formulado basado en el concepto de distancia de desempeño; proporcionando un método sistemático para la evaluación del desempeño de controladores lineales en sistemas estables e inestables y con multiplicidad de estados estacionarios.
Palabras clave: Biorreactor de Cholette, multiplicidad de estados, control lineal, estados estacionarios, PROMETHEE.
]]>Abstract
In this work a comparative performance analysis of different linear controllers tuned for several Cholette's bioreactor models at different steady states was realized. To this end the performance indexes IAE, ISE, ITAE, ISU and IADU were tailored for a multi-criteria decision techniques (MCDM) reformulation using PROMETHEE analysis. The results show the feasibility of formulated criteria based on performance distance approach; providing a method for evaluating the performance of linear controllers used on stable and unstable systems with multiple steady states.
Key words: Cholette's bioreactor, multiplicity of states, linear control, steady states, PROMETHEE.
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Agradecimientos
Los autores agradecen al Programa de Mejoramiento del Profesorado (PROMEP) por el financiamiento parcial para esta investigación mediante el proyecto "Análisis de Estabilidad de Procesos Químicos y Alimentarios con Controladores Óptimo-Robustos" (PROMEP/103.5/12/7959; UNPA-PTC-119) y por la beca del estudiante A. Rodríguez-Mariano. Al proyecto interno aprobado UNPA "Análisis del desempeño de controladores lineales sintonizados en diferentes estados estacionarios del biorreactor de Cholette mediante técnicas de decisión multi-criterio". Al Consejo Nacional de Desarrollo Científico y Tecnológico de Brasil-CNPq (proyecto BJT 304804/2014-2).
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