scholarly journals New tuning rules for PID controllers based on IMC with minimum IAE for inverse response processes

DYNA ◽  
2015 ◽  
Vol 82 (194) ◽  
pp. 111-118 ◽  
Author(s):  
Fabio Castrillón Hernández ◽  
Duby Castellanos-Cárdenas
Keyword(s):  
Dead Time ◽  
Stability Limit ◽  
Absolute Error ◽  
Internal Model Control ◽  
Tuning Parameter ◽  
Pid Controllers ◽  
Response System ◽  
Model Control ◽  
Inverse Response ◽  
Tuning Rules

In this paper new tuning rules for Proportional Integral Derivative (PID) are presented, which are based on Internal Model Control (IMC). This set of equations minimizes the performance index, in this case, the Integral Absolute Error (IAE). Furthermore, a correlation is proposed in order to calculate the tuning parameter of the method, where a holding oscillation response is obtained regarding changes in the set point. This value represents a stability limit for the IMC method. The overall development is then applied to an Inverse Response System of second order and with dead time.

scholarly journals PID Tuning Method Based on IMC for Inverse-Response Second-Order Plus Dead Time Processes

Processes ◽  
2020 ◽  
Vol 8 (9) ◽  
pp. 1183 ◽  
Author(s):  
Duby Castellanos-Cárdenas ◽  
Fabio Castrillón ◽  
Rafael E. Vásquez ◽  
Carlos Smith
Keyword(s):  
Transfer Function ◽  
Objective Function ◽  
Dead Time ◽  
Second Order ◽  
Internal Model Control ◽  
Tuning Method ◽  
Wide Range ◽  
Model Control ◽  
Inverse Response ◽  
Tuning Rules

This work addresses a set of tuning rules for PID controllers based on Internal Model Control (IMC) for inverse-response second-order systems with dead time. The transfer function, and some time-response characteristics for such systems are first described. Then, the IMC-based methodology is developed by using an optimization objective function that mixes performance and robustness. A correlation that minimizes the objective function and that allows the user to compute the controller’s tuning parameter is found. The obtained expressions are mathematically simple, which facilitate their application in a ten-step systematic methodology. Finally, the proposed tuning method is compared to other well-known tuning rules that have been reported in literature, for a wide range of parameters of the process. The performance achieved with the proposed method is very good not only for disturbance rejection but for set-point tracking, when considering a wide-range of parameters of the process’ transfer function.

scholarly journals Arduino based platform for process control learning

2020 ◽  
Vol 6 (5) ◽  
pp. 0585-0593
Author(s):  
Bruna Couto Molinar Henrique ◽  
Leonardo Couto Molinar Henrique ◽  
Humberto Molinar Henrique
Keyword(s):  
Open Source ◽  
Real Time ◽  
Low Cost ◽  
Control Unit ◽  
Absolute Error ◽  
Internal Model Control ◽  
Pid Controllers ◽  
Experimental Unit ◽  
Source Codes ◽  
Model Control

This work deals with implementation of an experimental flowrate control unit using free and low-cost hardware and software. The open-source software Processing was used to develop the source codes and user graphical interface and the open-source electronic prototyping platform Arduino was used to acquire data from an experimental unit. Work presents descriptions of the experimental setup, the real-time PID controllers used and theoretical/conceptual issues of Arduino. PID controllers based on internal model control, minimization of the integral of time-weighted absolute error, Ziegler-Nichols, and others were tuned for setpoint and load changes and real-time runs were carried out in order to make real-time use of  control theory learned in academy. Results showed the developed platform proved to be suitable for use in experimental setups allowing users compare their ideas and expectations with the experimental evidence in a real and low-cost fashion. In addition, the instrumentation is simple to configure with acceptable level noise and particularly useful for control/automation learning with educational purposes.

scholarly journals PERANCANGAN METODE INTERNAL MODEL CONTROL 2 DEGREE OF FREEDOM (IMC 2 DOF) UNTUK PENGENDALIAN MODEL SHELL HEAVY OIL FRACTIONATOR (SHOF)

TRANSIENT ◽  
2018 ◽  
Vol 7 (1) ◽  
pp. 40
Author(s):  
Fatamorgana Surgani ◽  
Budi Setiyono ◽  
Sumardi Sumardi
Keyword(s):  
Heavy Oil ◽  
Internal Model ◽  
Dead Time ◽  
Internal Model Control ◽  
Tuning Parameter ◽  
Relative Gain ◽  
Set Point ◽  
First Order ◽  
Model Control ◽  
Relative Gain Array

Shell Heavy Oil Fractionator (SHOF) adalah jenis kolom distilasi yang digunakan untuk memisahkan heavy oil mentah menjadi produk-produk yang diinginkan berdasarkan perbedaan titik didih dari masing-masing produk tersebut. Perancangan kendali pada SHOF memiliki beberapa kendala yang disebabkan oleh non-linearitas pada proses, interaksi multivariabel, adanya waktu tunda (dead time) yang panjang, dan adanya gangguan. Berdasarkan hal tersebut, dibutuhkan metode kendali yang mampu membuat respon sistem mengikuti perubahan set point dan meredam gangguan, sehingga keluaran komposisi produk sesuai dengan yang diharapkan. Pada penelitian ini dibahas perancangan metode IMC 2 DoF untuk pengendalian SHOF MIMO 3x3 terdesentralisasi dalam bentuk fungsi alih first order plus dead time (FOPDT), hal ini dikarenakan metode IMC 2 DoF merupakan salah satu jenis metode kendali modern yang mampu mengendalikan plant multivariabel dan meredam gangguan yang ada. Tuning parameter filter pada pengendali ini menggunakan empat metode tuning parameter filter IMC. Interaksi antar subsistem dikurangi dengan menerapkan metode Relative Gain Array dan melakukan decoupling. Berdasarkan seluruh pengujian yang telah dilakukan, pengendali IMC 2 DoF menggunakan decoupling metode tuning parameter filter Rivera memiliki jumlah nilai IAE terbaik dibandingkan dengan ketiga metode tuning lainnya dengan nilai IAE 93,9585 pada respon , 40,0476 pada respon , dan  0,0102 pada respon .

Analytical design of constraint handling optimal two parameter internal model control for dead-time processes

2019 ◽  
Vol 36 (3) ◽  
pp. 356-367 ◽  
Author(s):  
Rodrigue Tchamna ◽  
Muhammad Abdul Qyyum ◽  
Muhammad Zahoor ◽  
Camille Kamga ◽  
Ezra Kwok ◽  
...  
Keyword(s):  
Internal Model ◽  
Dead Time ◽  
Internal Model Control ◽  
Constraint Handling ◽  
Analytical Design ◽  
Model Control ◽  
Two Parameter

scholarly journals Design of Internal Model Control Based on an Optimal Control for a Servo System

2015 ◽  
Vol 2015 ◽  
pp. 1-5 ◽  
Author(s):  
Hiromitsu Ogawa ◽  
Ryo Tanaka ◽  
Takahiro Murakami ◽  
Yoshihisa Ishida
Keyword(s):  
Optimal Control ◽  
Control System ◽  
Transfer Function ◽  
Internal Model ◽  
Dead Time ◽  
Servo System ◽  
Previous Method ◽  
Internal Model Control ◽  
Model Control ◽  
Disturbance Response

This paper describes a design of internal model control based on an optimal control for a servo system. The control system has the feedback based on the proposed disturbance compensator in the disturbance response. The compensator is designed to become the denominator of the transfer function without a dead time in the disturbance responses. The disturbance response of the proposed method is faster than that of the previous method.

scholarly journals Complete suppression of torque ripple in BLDC machines caused by back emf and dead time

2021 ◽  
Author(s):  
Miodrag Joksimovic ◽  
Emil Levi ◽  
Slobodan Vukosavic
Keyword(s):  
Dead Time ◽  
Torque Ripple ◽  
Internal Model Control ◽  
Complete Suppression ◽  
Brushless Dc Motors ◽  
Current Harmonics ◽  
Brushless Dc ◽  
Dc Motors ◽  
Model Control ◽  
Dead Time Compensation

<div>Abstract—This paper introduces a novel algorithm for suppresion of phase current harmonics in three-phase brushless dc motors caused by non-ideal back-emf waveform and dead-time effects. Proposed feedback acquisition chain obtains an exact information on all the relevant harmonics within each period of the fundamental. Design of the harmonic regulator based on the internal model control principle is given. The paper outlines the relevant details of implementation and the results of verification performed by both computer simulations and experimentally, using a laboratory prototype machine. Experimental results conducted in presence of non-sinusoidal back-emf and with erroneous dead time compensation prove the ability of the proposed solution to remove the stator current harmonics quickly, in just two fundamental periods.</div>

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