PID Controller Tuning Method Research Articles

Multivariable PID Control Systems Design by Stable Partial Model Matching on Frequency Domain

In this paper, a tuning method of multivariable PID controllers based on partial model matching on frequency domain is proposed. Different from the previous methods which were considered by authors, in this case, determination of multivariable PID controller parameters is defined as a nonlinear optimization problem with inequality constraints. In this procedure, the objective function is constructed so as to minimize the relative frequency model error between the loop transfer function of the control system and that of reference model system at finite frequency points. Inequality constraints are introduced so as to guarantee the stability criteria of multivariable control system given in Rosenbrock's stability theorem. The effectiveness of the method is illustrated through a simulation of 2-input 2-output system.

An energy effective PID tuning method for the control of polybutadiene latex reactor based on closed-loop identification

The PBL (Polybutadiene Latex) production process is a t ypical batch process. Changes of the reactor char- acteristics due to the accumulated scaling with the increase of batch cycles require adaptive tuning of the PID controller being used. In this work we propose a tuning method for PID controllers based on the closed-loop identification and the genetic algorithm (GA) and apply it to control the PBL process. An approximated process transfer function for the PBL reactor is obtained from the closed-loop data by using a suitable closed-loop identification method. Tuning is performed by GA optimization in which the objective function is given by ITAE for the setpoint change. The pro- posed tuning method showed good control performance in actual operations.

Relay Based Closed-Loop Tuning of PID Controllers (Adaption der PID-Reglerparameter im geschlossenen Kreis durch Einkopplung eines Zweipunktreglers)

Abstract A relay based on-line tuning method for PID controllers is presented. Due to a new structure to use the relay for identification reasons the method is well appropriate for a large class of linear and non-linear processes which may have load and noise disturbances. The new structure inserts a relay in parallel to a conventional P, PI or PID controller inducing limit cycle oscillations of small amplitude around the process value. With the limit cycle measurements, a transfer function model of the process dynamics is obtained by a robust identification method. Using a model based tuning algorithm the controller settings are retuned to achieve enhanced performance without disrupting the closed-loop control. The performance of the proposed scheme is discussed by different simulations to show the benefits of the new method.

PID controller tuning using Bode's integrals

A new method for PID controller tuning based on Bode's integrals is proposed. It is shown that the derivatives of amplitude and phase of a plant model with respect to frequency can be approximated by Bode's integrals without any model of the plant. This information can be used to design a PID controller for slope adjustment of the Nyquist diagram and improve the closed-loop performance. Besides, the derivatives can be also employed to estimate the gradient and the Hessian of a frequency criterion in an iterative PID controller tuning method. The frequency criterion is defined as the sum of squared errors between the desired and measured gain margin, phase margin and crossover frequency. The method benefits from specific feedback relay tests to determine the gain margin, the phase margin and the crossover frequency of the closed-loop system. Simulation examples and experimental results illustrate the effectiveness and the simplicity of the proposed method to design and tune the PID controllers.

Simple PID Controller Tuning Method for Processes with Inverse Response Plus Dead Time or Large Overshoot Response Plus Dead Time

Whenever a controlled variable encounters two (or more) competing dynamic effects with different time constants from the same manipulated variable, the resulting composite dynamic behavior of this process can exhibit a troublesome inverse response or a large overshoot response. These unusual dynamic behaviors together with the process dead time can cause problems in PID controller tuning. These types of responses are observed in some particle control loops in the chemical industry or can be observed more frequently in multiloop systems. In this paper, a simple PID controller tuning method will be proposed to handle these two difficult types of control loops. The proposed tuning method is derived from a direct synthesis controller design method. Both PID and PI-only tuning rules will be proposed in this paper.

操作量の微分値を考慮したPIDコントローラの調整

This paper concerns a tuning method for PID controller using optimization subject to constraints on derivatives of control input. To evaluate the control performance, the responses to load disturbance and reference input changes are presented compared to those by the partial model matching method. Moreover, it is found that the PID controller tuned by this optimization technique is somewhat robust and effective enough for practical applications.

MP criterion based multiloop PID controllers tuning for desired closed loop responses

A tuning method of multiloop PID controllers is developed based on the generalized IMC PID tuning rule by Lee et al. (1998a). To extend the SISO PID tuning method to MIMO systems, a new tuning criterion is proposed. The criterion is based on the closed loop frequency response method to meet desired performance and robustness as close as possible. Examples for 2x2, 3x3 and 4x4 systems are used to illustrate the proposed method. The results show that the proposed method is superior to conventional methods such as the BLT tuning method.

A Novel Robust Pid Controller Design By Fuzzy Neural Network

ABSTRACTIn this paper, we propose a robust PID controller tuning method for parametric uncertainty systems (or interval plant family) using fuzzy neural networks (FNNs). This robust controller is based on robust gain and phase margin (GM/PM) specifications that satisfy user requirements. Here, the FNN system is used to identify the relation between the PID controller parameters and robust GM/PM. We can use the trained FNN system to determine the parameters of the PID controllers in order to satisfy robust GM/PM specifications that guarantee robustness and performance. Simulation results are shown to illustrate the effectiveness of the robust controller scheme.

Optimal PID controller tuning method for single‐input/single‐output processes

AIChE JournalVolume 48, Issue 6 p. 1358-1361 R&D Note Optimal PID controller tuning method for single-input/single-output processes Su Whan Sung, Corresponding Author Su Whan Sung Dept. of Chemical Engineering and Center for Ultramicrochemical Process Systems, Korea Advanced Institute of Science and Technology, Yusong-ku, Taejon, 305-701, Republic of KoreaDept. of Chemical Engineering and Center for Ultramicrochemical Process Systems, Korea Advanced Institute of Science and Technology, Yusong-ku, Taejon, 305-701, Republic of KoreaSearch for more papers by this authorTai-yong Lee, Tai-yong Lee Dept. of Chemical Engineering and Center for Ultramicrochemical Process Systems, Korea Advanced Institute of Science and Technology, Yusong-ku, Taejon, 305-701, Republic of KoreaSearch for more papers by this authorSunwon Park, Sunwon Park Dept. of Chemical Engineering and Center for Ultramicrochemical Process Systems, Korea Advanced Institute of Science and Technology, Yusong-ku, Taejon, 305-701, Republic of KoreaSearch for more papers by this author Su Whan Sung, Corresponding Author Su Whan Sung Dept. of Chemical Engineering and Center for Ultramicrochemical Process Systems, Korea Advanced Institute of Science and Technology, Yusong-ku, Taejon, 305-701, Republic of KoreaDept. of Chemical Engineering and Center for Ultramicrochemical Process Systems, Korea Advanced Institute of Science and Technology, Yusong-ku, Taejon, 305-701, Republic of KoreaSearch for more papers by this authorTai-yong Lee, Tai-yong Lee Dept. of Chemical Engineering and Center for Ultramicrochemical Process Systems, Korea Advanced Institute of Science and Technology, Yusong-ku, Taejon, 305-701, Republic of KoreaSearch for more papers by this authorSunwon Park, Sunwon Park Dept. of Chemical Engineering and Center for Ultramicrochemical Process Systems, Korea Advanced Institute of Science and Technology, Yusong-ku, Taejon, 305-701, Republic of KoreaSearch for more papers by this author First published: 16 April 2004 https://doi.org/10.1002/aic.690480622Citations: 14AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat Citing Literature Volume48, Issue6June 2002Pages 1358-1361 RelatedInformation

Multiloop PID controllers tuning for desired closed loop responses

A tuning method of multiloop PID controllers is developed based on the generalized IMC PID tuning rule by Lee et al. (1998a). To extend the SISO PID tuning method to MIMO systems, a new tuning criterion is proposed. The criterion is based on the closed loop frequency response method to meet desired performance and robustness as close as possible. Examples for 2×2, 3×3 and 4×4 systems are used to illustrate the proposed method. The results show that the proposed method is superior to the conventional methods such as the BLT tuning method.

PID controller tuning for integrating and unstable processes with time delay

A new method for PID controller tuning based on process models for integrating and unstable processes with time delay is proposed in this paper. The proposed method is an extension of the PID controller tuning method by Lee, Lee, Park and Brosilow (1998) to general unstable and integrating processes with time delay. The proposed method is simpler to use because the proposed method is an explicit tuning method compared with other frequency response methods. Closed-loop responses tuned by the proposed method are compared with those of existing methods. The results show that the proposed tuning method gives better closed loop performance than the existing methods.

Automatic Tuning of PID Controllers for MIMO Processes

Abstract In this paper, an automatic tuning method of PID controllers for MIMO processes is proposed. The tuning method consists of three steps. In the first, discrete sets of gain and phase of the process are identified by using of the adaptive identification method of a critical point, in the second step, the discrete sets are transformed into the parametric models, and rough decouplers are calculated. In the third step, rough decouplers are added to the process and an augmented plant is constructed. By applying the adaptive identification method of a critical point to the augmented plant, the critical point is identified for the augmented plant. PID control parameters for augmented plant are calculated by using the Ziegler-Nichols method. This method can easily be extended to any number of loops, and be applicable for automatic tuning of PID controllers with rough decouplers for MIMO processes. The efficiency of this method is shown through some simulation results.

Collection of Java Applets for PD Controller Design

A collection of modeling tools and PID controller tuning methods is implemented using the Java programming language and made accessible as an Internet site. The contents and structure of the site are presented. Descriptions of the modeling and tuning methods are given.

A new PID controller tuning method based on multiple integrations

The magnitude optimum (MO) technique provides a non-oscillatory closed-loop response for a large class of process models. However, this technique is based on a transfer function model that requires precise process identification and extensive computations. In the present paper, it is shown that a close relation exists between multiple integrations of the process step response and the MO criterion. Due to this relation, the MO criterion can be more simply achieved. Some practical guidelines for performing multiple integrations and for re-tuning controller parameters are also given.

A Simple Multiloop Tuning Method for PID Controllers with No Proportional Kick

A simple tuning method for multiloop PID controllers will be presented in this article. The method is suited for PID algorithms with no proportional and derivative kick. This tuning method is derived from a controller synthesis method with a control performance specification of 5% overshoot on servo response. Depending on the interaction natures of the multiloop systems, tuning based on the diagonal elements of the model or further detuning may be necessary. For systems with a relative gain array [RGA(λii)] < 1, a detuning factor based on this information is proposed. The information needed for controller tuning purposes is the dynamic model parameters of the diagonal elements and the process gain information of the off-diagonal elements. The tuning method procedure is very simple and straightforward, utilizing only nth identification tests with n as the number of the interacting control loops. The tuning method can easily be applied to various industrial situations with almost no need for a priori process knowledge.

PID Controller Tuning to Obtain Desired Closed-Loop Responses for Cascade Control Systems

A new method for PID controller tuning based on process models for cascaded control systems is proposed in this paper. The method consists of first finding the ideal controller that gives the desired closed loop response and then finding the PID approximation of the ideal controller by Maclaurin series. This method can be applied to anv open loop stable processes. Furthermore, it enables us to tune the PID controllers both for the inner-loop and the outer-loop simultaneously while existing tuning methods tune the inner loop first and the outer loop next. Closed-loop responses or cascade control loops tuned by the proposed method are compared with those of existing methods such as the frequency response method and the ITAE method. The results show that the proposed tuning method is superior to the existing methods.

On-line process identification and automatic tuning method for PID controllers

We propose a new and simple on-line process identification method for the automatic tuning of the PID controller. A least-squares method is used to obtain the model from measured process 0outputs and inputs without any structural information. Thus, any kind of test signal generators such as a relay, a P controller, the controller itself, pulse and step signal generators, etc can be utilized only if they contain sufficient information because it requires only the measured process output and the controller output. General time-invariant linear systems including open-loop stable, nonminimum phase, unstable and integrating processes can be identified effectively by the proposed identification method. We then use a model reduction method to tune the PID controller using usual tuning rules based on the first- or second-order plus time-delay model.

PID Controller Tuning To Obtain Desired Closed Loop Responses for Cascade Control Systems

A new method for PID controller tuning based on process models for cascaded control systems is proposed in this paper. The method consists of first finding the ideal controller that gives the desired closed loop response and then finding the PID approximation of the ideal controller by Maclaurin series. This method can be applied to any open loop stable processes. Furthermore, it enables us to tune the PID controllers both for the inner loop and the outer loop simultaneously while existing tuning methods tune the inner loop first and the outer loop next. Closed loop responses of cascade control loops tuned by the proposed method are compared with those of existing methods such as the frequency response method and the ITAE method. The results show that the proposed tuning method is superior to the existing methods.

A New Tuning Method for PID Controllers

In this paper a new tuning approach for the PID controllers is proposed. The tuning algorithm is based on a relatively demanding magnitude optimum criterion. However, the tuning procedure is simple and only requires a process open-loop step response in order to calculate controller parameters. Additional relay excitation may be provided so as to obtain more optimal values of the PID controller parameters.

Robust PID Controller Tuning for Input Disturbance Rejection

This paper presents a new method of PID controller tuning for robust load disturbance rejection, and its results for two important practical cases: firstorder delay with dead-time and integrating system with dead-time. The new method deals with plant uncertainty explicitly, thus providing controller gain settings that perform well not only for nominal models but also for all the models described by the model parameter variations. The tuning principle is applicable to both the PI and PID controllers, and is suitable for comparing the performance of PI and PID controllers. It is shown that PID controllers perform much bettern than PI controllers for integrating processes, while there is not much advantage for PID controllers over PI controllers for first-order delay with dead-time processes.