On the model matching approach to PID design: Analytical perspective for robust Servo/Regulator tradeoff tuning

Alcántara, S.; Pedret, Carles; Vilanova, Ramón

doi:10.1016/j.jprocont.2010.02.011

Cited by 39 publications

(29 citation statements)

References 14 publications

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“…De esta forma se tiene para la primera definición los métodos desarrollados con base en el control con modelo interno [11][12][13][14][15][16], donde las reglas de sintonías no quedan directamente vinculadas a un indicador o medida de robustez.…”

Section: Existen Otras Medidas De Sensibilidad Comounclassified

A proposal of robust tunning rules for PI-2DoF controllers

Rivero

Llanes‐Santiago

2017

Ingeniare. Rev. chil. ing.

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RESUMENUna estructura de dos grados de libertad permite unificar el diseño del controlador tanto para perturbaciones en la carga como para cambios en la referencia. En el diseño de un controlador proporcional integral derivativo de dos grados de libertad (PI-2DoF) es necesario introducir condiciones de robustez. El presente trabajo propone una regla de sintonía que permite obtener el nivel de robustez en un intervalo continuo con un error no mayor que "± 0,06" del valor deseado, superando la dificultad de los márgenes de robustez discretos. Las reglas se obtuvieron mediante un ajuste de curvas de los parámetros óptimos del controlador, obtenidos a partir de la aplicación del algoritmo de optimización evolución diferencial sobre un conjunto de plantas de prueba representativa de procesos industriales. Se utilizan las reglas de ajuste para el control PI-2DoF para establecer la comparación con las reglas existentes en la literatura.Palabras clave: Control PI-2DoF, robustez, reglas de sintonía, evolución diferencial. ABSTRACT A structure of two degrees of freedom permits uniting the controller's design so much for disturbances in the load same as for changes in the reference. In the design of a proportional integral derivative controller of two degrees of freedom (PI-2DoF) it is necessary to introduce conditions of robustness. The present paper proposes a rule of tuning that permits getting the level of robustness in a continuous interval with a smaller error than "± 0.06" of the desired value, surpassing the difficulty of the discreet margins of robustness. The rules was obtained using an adjustment of curves of the controller's optimal parameters, obtained as from the application of the differential evolution optimization's algorithm on a set of representative test's plants of industrial processes.The tuning rules for PI-2DoF control are used to establish the comparison with the rules in literature.Keywords: Controller PI-2DoF, robustness, rules of tuning, differential evolution. INTRODUCCIÓNUn controlador Proporcional Integral Derivativo (PID) es uno de los métodos de control más frecuentes y precisos dentro de la regulación automática. Su gran aceptación se debe, entre otras características, a su sencillez, ya que son solo tres parámetros a sintonizar, y a la efectividad de sus acciones de control [1][2][3].El desarrollo de reglas de sintonía para controladores PID surge en gran medida por la necesidad de contar con métodos de ajuste que relacionen los parámetros del controlador con los parámetros del modelo del

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Section: Existen Otras Medidas De Sensibilidad Comounclassified

A proposal of robust tunning rules for PI-2DoF controllers

Rivero

Llanes‐Santiago

2017

Ingeniare. Rev. chil. ing.

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“…The facts of just having to adjust two parameters and its simple structure allow an easy application and tuning of the controller parameters. See [39,40] for a review on PI and PID control. The computation of the control action or manipulated variable, u(t), is done according to:…”

Section: Feedback Control Systemmentioning

confidence: 99%

Joint Environmental and Economical Analysis of Wastewater Treatment Plants Control Strategies: A Benchmark Scenario Analysis

2016

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Abstract:In this paper, a joint environmental and economic analysis of different Wastewater Treatment Plant (WWTP) control strategies is carried out. The assessment is based on the application of the Life Cycle Assessment (LCA) as a method to evaluate the environmental impact and the Benchmark Simulation Model No. 1 (BSM1). The BSM1 is taken as the benchmark scenario used to implement the control strategies. The Effluent Quality Index (EQI) and the Overall Cost Index (OCI) are two indicators provided by BSM1 and used to evaluate the plant's performance from the effluent quality and the economic points of view, respectively. This work conducts a combined analysis and assessment of ten different control strategies defined to operate a wastewater treatment plant. This analysis includes the usual economic and performance indexes provided by BSM1 joined with the LCA analysis that determines the environmental impact linked to each one of the considered control strategies. It is shown how to get an overall evaluation of the environmental effects by using a normalized graphical representation that can be easily used to compare control strategies from the environmental impact point of view. The use of only the BSM1 indexes provides an assessment that leads to a clustering of control strategies according to the cost/quality tradeoff they show. Therefore, regarding the cost/quality tradeoff, all strategies in the same group are almost equal and do not provide an indication on how to proceed in order to select the appropriate one. It is therefore shown how the fact of adding a new, complementary, evaluation (LCA based) allows either to reinforce a decision that could be taken solely on the basis of the EQI/OCI tradeoff or to select one control strategy among the others.

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“…The study suggests how to shift each compromise based upon constraint for several types of processes. They have extended the preliminary design concept of balanced autotuning, which was published earlier [24][25][26]. K-SIMC method, a modification of SIMC rule has been proposed recently by Lee et al [27].…”

Section: Introductionmentioning

confidence: 99%

A Frequency Domain PID Controller Design Method Using Direct Synthesis Approach

2015

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In this study, the PID controller design method based on direct synthesis approach for achieving the desired set-point or load-disturbance response is proposed. The PID controller is derived using an approximate frequencyresponse-matching criteria. A simple criterion has been also provided to choose the frequency points for matching of the proposed PID controller with the desired direct synthesis controller. It is a unified approach which deals with broad class of processes including integrating and inverse response, and it is directly applicable to any order of process with time delay. The ideal controller based on the direct synthesis approach has been directly approximated to the PID controller in desired frequency range. Therefore, the proposed method is free from model reduction in high-order process to low-order process and also rational approximation of the time-delay term e −sL . The advantage of method is illustrated through examples taken from the literature and compared with some of the well-known methods.

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On the model matching approach to PID design: Analytical perspective for robust Servo/Regulator tradeoff tuning

Cited by 39 publications

References 14 publications

A proposal of robust tunning rules for PI-2DoF controllers

A proposal of robust tunning rules for PI-2DoF controllers

Joint Environmental and Economical Analysis of Wastewater Treatment Plants Control Strategies: A Benchmark Scenario Analysis

A Frequency Domain PID Controller Design Method Using Direct Synthesis Approach

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