Tuning and comparison of design concepts applying Pareto optimality. A case study of Cholette bioreactor

[EN] The linear control PI (D) and its variants are control structures (design concepts) that are still used in industrial processes. The control engineer will prefer one over another according to a desired tradeoff among complexity and performance indices. Given that this exchange might be in conflict, an analisis using multiobjective optimisation tools could be interesting. With this perspective, different Pareto fronts from different design concetps are compared, enabling a global, and not punctual, performance comparison. In this work a global methodology for comparing design concepts in dfferent stages was developed. The first step was to establish a region of stability. In the second stage, the stability region was considered as a search space for the multiobjective optimization process, approximating a Pareto set and front. In the third stage, a multicriteria analysis of the Pareto fronts was carried out, together with the simulation in the time domain for the output and control signals. As case study to validate this proposal the Cholette’s biorreactor was selected. The proposed methodology allows a better understanding of a conceptual solution, justifies and determines the use of a design concept thus meeting the needs of the designer.[ES] El control lineal PI(D) y sus variantes, son estructuras de control (conceptos de diseño) que actualmente se siguen utilizando en procesos industriales. La elección de una estructura de control sobre otra reside en el intercambio de prestaciones entre complejidad y rendimiento. Dado que este intercambio de prestaciones normalmente estará en conflicto, un análisis desde el punto de vista multiobjetivo puede ser de interés. Desde tal perspectiva, se analizan frentes de Pareto de diferentes conceptos de diseño, con lo que se realiza una comparación global y no puntual de tales conceptos. En este trabajo se plantea una propuesta metodológica para dicha comparación en diferentes etapas. La primera, fue establecer una región de estabilidad. En la segunda etapa se consideró la región de estabilidad como espacio de búsqueda para el proceso de optimización multiobjetivo calculando un conjunto y frente de Pareto. En la tercera etapa se realizó un análisis multicriterio de los frentes de Pareto, junto con la simulación en el dominio del tiempo para las señales de salida y de control. Como caso de estudio para validar la propuesta se ha elegido el biorreactor de Cholette que presenta diferentes condiciones de operación. 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Tuning of Pareto-optimal robust controllers for multivariable systems. Application on helicopter of two-degress-of-freedom

[ES] La sintonización de controladores Pareto-óptimo robustos ha sido empleada para mejorar el rendimiento de un helicóptero de dos grados de libertad con un algoritmo de control lineal. El procedimiento de sintonización del controlador está basado en la minimización simultánea de las integrales de la suma del cuadrado del error y de la acción de control. Como resultado de dicha minimización y dado que los objetivos entran en conflicto, se obtiene un conjunto de soluciones que describen un frente de Pareto. Posteriormente, un proceso de análisis en los mismos es llevado a cabo para seleccionar los controladores a implementar en el sistema físico. Los resultados experimentales con los controladores seleccionados muestran que el procedimiento de ajuste es eficaz y práctico.[EN] The tuning of Pareto-optimal robust controllers was applied to improve the performance of a helicopter with two-degrees-of-freedom with a linear control algorithm. The tuning procedure is based on the simultaneous minimization of the integral of square sum of errors and the integral of square sum of control action. A 2D Pareto front is built with these integrals. Afterwards, a decision-making process is carried out to select the most preferable controller. Experimental results on the physical platform validate the tuning procedure as practical and reliable.Dirección General de Educación Tecnológica Superior (DGEST), Consejo Nacional de Ciencia y Tecnología (CONACyT), l Ministerio de Economía y Competitividad de España y Consejo Nacional de Desarrollo Científico y Tecnológico de BrasilCarrillo Ahumada, J.; Reynoso Meza, G.; Sanchís Saez, J.; García Nieto, S.; García Alvarado, M. (2015). Sintonización de controladores Pareto-óptimo robustos para sistemas multivariables. Aplicación en un helicóptero de 2 grados de libertad. 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Comparative study of auto-tuning algorithms for PID controllers. Results of the 2010-2011 match of the control engineering group of CEA

In this paper three PID auto-tuning algorithms which are mainly focused on the disturbance rejection problem are compared. The algorithms differ in both the experiments carried out to obtain information of the process dynamic and the methods for calculating the controller parameters. The algorithms were presented in the 2010-2011 Match of the Control Engineering Group of CEA. The comparison is based on an evaluation methodology that takes into account the experimental phase as well as the closed loop performance during the control phase. © 2011 CEA. Publicado por Elsevier España, S.L