scholarly journals High-Order Filtered PID Controller Tuning Based on Magnitude Optimum

Mathematics ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 1340
Author(s):  
Damir Vrančić ◽  
Mikuláš Huba
Keyword(s):  
A Priori ◽  
Higher Order ◽  
Process Models ◽  
Pid Controllers ◽  
Tuning Method ◽  
Output Noise ◽  
Pid Controller Tuning ◽  
Output Time ◽  
Tuning Methods ◽  
Measured Input

The paper presents a tuning method for PID controllers with higher-order derivatives and higher-order controller filters (HO-PID), where the controller and filter orders can be arbitrarily chosen by the user. The controller and filter parameters are tuned according to the magnitude optimum criteria and the specified noise gain of the controller. The advantages of the proposed approach are twofold. First, all parameters can be obtained from the process transfer function or from the measured input and output time responses of the process as the steady-state changes. Second, the a priori defined controller noise gain limits the amount of HO-PID output noise. Therefore, the method can be successfully applied in practice. The work shows that the HO-PID controllers can significantly improve the control performance of various process models compared to the standard PID controllers. Of course, the increased efficiency is limited by the selected noise gain. The proposed tuning method is illustrated on several process models and compared with two other tuning methods for higher-order controllers.

scholarly journals Performance Evaluation of the Good Gain Method Against Other Methods Using a Water Level Control System

2020 ◽  
Vol 14 ◽  
Keyword(s):  
Water Level ◽  
Pid Controller ◽  
The Other ◽  
Pid Controllers ◽  
Proportional Integral Derivative ◽  
Level Control ◽  
Tuning Method ◽  
Pid Tuning ◽  
Pid Controller Tuning ◽  
Tuning Methods

Various tuning methods have been proposed for proportional-integral-derivative (PID) controller. A respectively new and simple experimental method for tuning PID controllers named a Good Gain method that was recently proposed by F. Haugen in 2010, this method is not yet recognized among the other known methods for tuning. However, the founder of this methods claims that it can be an alternative to the famous Ziegler-Nichols. In this paper, PID tuning method has been performed experimentally using a real water level system in order to test and validates the Good Gain method. Also other PID tuning methods applied to the same system to compare the results. The results show that the Good Gain method gives an acceptable stability and response comparing to the other industrial PID controller tuning procedures

scholarly journals Controller Parameter Optimization for Nonlinear Systems Using Enhanced Bacteria Foraging Algorithm

2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
V. Rajinikanth ◽  
K. Latha
Keyword(s):  
Real Time ◽  
Pid Controller ◽  
Nonlinear Process ◽  
Process Models ◽  
Proportional Integral Derivative ◽  
Controller Tuning ◽  
Spherical Tank ◽  
Pid Controller Tuning ◽  
Tank System ◽  
Tuning Methods

An enhanced bacteria foraging optimization (EBFO) algorithm-based Proportional + integral + derivative (PID) controller tuning is proposed for a class of nonlinear process models. The EBFO algorithm is a modified form of standard BFO algorithm. A multiobjective performance index is considered to guide the EBFO algorithm for discovering the best possible value of controller parameters. The efficiency of the proposed scheme has been validated through a comparative study with classical BFO, adaptive BFO, PSO, and GA based controller tuning methods proposed in the literature. The proposed algorithm is tested in real time on a nonlinear spherical tank system. The real-time results show that, EBFO tuned PID controller gives a smooth response for setpoint tracking performance.

scholarly journals PID Controller Tuning using ACO Algorithm for AVR Systems

2020 ◽  
Vol 9 (3) ◽  
pp. 560-563 ◽  
Keyword(s):  
Pid Controller ◽  
Optimization Technique ◽  
Step Response ◽  
Pid Controllers ◽  
Tuning Method ◽  
Avr System ◽  
Disturbance Response ◽  
Pid Controller Tuning ◽  
Control Response ◽  
Optimal Gains

This paper features an effective technique to device the parameters of PID controllers for utilization together with an Automatic Voltage Regulator System (AVR). The quintessential goal is to acquire a good load disturbance response by minimizing the performance index/(Integral time square error). Simultaneously, the transient response is assured by limiting maximum overshoot, settling time and rise time of the step response to minimal values. For achieving these goals, optimum and quick tuning of the parameters (Kp, Ki, and Kd) is essential. In an effort to accomplish the aforementioned, the paper put forth an algorithm developed based on the Ant Colony Optimization technique (ACO) to decide optimal gains of PID controller and for getting optimal performance within an AVR system. Simulation results establish superior control response may be accomplished in comparison with methods like conventional tuning method (trial and error) and built-in genetic algorithm (GA) took-kit.e.

Tuning Methods of PID Controller for DC Motor Speed Control

2016 ◽  
Vol 3 (2) ◽  
pp. 343 ◽  
Author(s):  
Ashwaq Abdulameer ◽  
Marizan Sulaiman ◽  
MSM Aras ◽  
Dawood Saleem
Keyword(s):  
Pid Controller ◽  
Engineering Students ◽  
Speed Control ◽  
Dc Motor ◽  
Motor Speed ◽  
Tuning Method ◽  
Pid Tuning ◽  
Pid Controller Tuning ◽  
Long Time ◽  
Tuning Methods

The traditional PID controllers are used for a long time to control the DC motor for many industrial processes, that because of the simplicity, flexibility, and satisfactory performance of this type of controller. This paper discusses the basic PID tuning method (Ziegler-Nichols) and its modification (Chien-Hrones-Reswick). Also, analysis the speed control DC motor response using the PID controller parameters that result from the tuning methods mentioned earlier. Moreover, explain the advantage and disadvantage of each formula of these methods.  GUL/MATLAB windows used to implementing both methods to create more comfortable and friendly environment for better understanding of the PID controller tuning methods formula for engineering students and practicing engineers.

Fully Automated Tuning and Implementation of Fractional PID Controllers

2009 ◽  
Author(s):  
Guillermo E. Santamaria ◽  
Ine´s Tejado ◽  
Blas M. Vinagre ◽  
Concepcio´n A. Monje
Keyword(s):  
Transfer Function ◽  
Fractional Order ◽  
A Priori ◽  
Pid Controllers ◽  
Relay Feedback ◽  
Modeling And Control ◽  
Tuning Method ◽  
And Control ◽  
Automated Tuning ◽  
Tustin Operator

The advantages and applications of modeling and control of non-integer order linear systems are well known, but the inherent complexity of practical approximations has prevented the generalized appearance in the market of simple devices capable of implementing a fractional order control on a unknown given plant in a reliable way. The purpose of this work is to make a step forward in this sense, looking for a compromise between simplicity and reliability of the system. An automatic method for tuning, design, and implementation of fractional order PIαDμ controllers is presented in this paper. The auto-tuning method is based on plant magnitude and phase measuring at a frequency of interest, obtained by the relay feedback technique. A fractional order PIαDμ controller is designed from these measurements so that specifications of phase margin and robustness to variations of the plant gain are reached. Once the fractional order PIαDμ controller transfer function is obtained, it is discretized applying Pascal Matrix Method, and approximated using continuous fraction expansion of the Tustin Operator, generalized for a general transfer function. Simulation results obtained using the described method on an a priori unknown characteristic servo are presented in this paper.

scholarly journals SIMULATION AND PERFORMANCE OF LIQUID LEVEL CONTROLLERS FOR LINEAR TANK

2020 ◽  
Vol 82 (3) ◽  
Author(s):  
Qahtan A. Mahmood ◽  
Amer T. Nawaf ◽  
Shaho A. Mohamedali
Keyword(s):  
Pid Controller ◽  
Absolute Error ◽  
Liquid Level ◽  
Pid Controllers ◽  
Water Tank ◽  
Level Control ◽  
Tuning Method ◽  
Squared Error ◽  
And Performance ◽  
Tuning Methods

Level control of liquid in a tank or any similar container is widely used in applications such as chemical and oil industrial processes. Control the level at desired value is very important. This paper studies the performance of P, PI, and PID controllers in controlling the level of a liquid. Mass balance is used to find mathematical model of water tank level. Ziegler-Nichol (Z-N) and Cohen-Coon (C-C) tuning methods are used to evaluate parameters of the controllers. The error indices such as Integral Absolute Error (IAE) and Integral Squared Error (ISE) are used to compare between performances of the controllers. MATLAB is used to test the control system performance and compare the results with real values. Both simulation and experimental results show that liquid level system can be controlled effectively by using Z-N tuning method. The result shows that the PI controller gives better performance in comparison with P and PID controller.

scholarly journals Design of Optimal PID Controller withɛ-Routh Stability for Different Processes

2013 ◽  
Vol 2013 ◽  
pp. 1-22 ◽  
Author(s):  
XianHong Li ◽  
HaiBin Yu ◽  
MingZhe Yuan
Keyword(s):  
Pid Controller ◽  
Design Method ◽  
Optimization Methods ◽  
Pid Controllers ◽  
Water Tank ◽  
Nonlinear Constraint ◽  
Order Error ◽  
Interior Method ◽  
Tank System ◽  
Tuning Methods

This paper presents a design method of the optimal proportional-integral-derivative (PID) controller withɛ-Routh stability for different processes through Lyapunov approach. The optimal PID controller could be acquired by minimizing an augmented integral squared error (AISE) performance index which contains control error and at least first-order error derivative, or even may containnth-order error derivative. The optimal control problem could be transformed into a nonlinear constraint optimization (NLCO) problem via Lyapunov theorems. Therefore, optimal PID controller could be obtained by solving NLCO problem through interior method or other optimization methods. The proposed method can be applied for different processes, and optimal PID controllers under various control weight matrices andɛ-Routh stability are presented for different processes. Control weight matrix andɛ-Routh stability’s effects on system performances are studied, and different tuning methods’ system performances are also discussed.ɛ-Routh stability’s effects on disturbance rejection ability are investigated, and different tuning methods’ disturbances rejection ability is studied. To further illustrate the proposed method, experimental results of coupled water tank system (CWTS) under different set points are presented. Both simulation results and experiment results show the effectiveness and usefulness of the proposed method.

scholarly journals A Modified 2-DOF Control Framework and GA Based Intelligent Tuning of PID Controllers

Processes ◽  
2021 ◽  
Vol 9 (3) ◽  
pp. 423
Author(s):  
Gun-Baek So
Keyword(s):  
Disturbance Rejection ◽  
Pid Controller ◽  
Weighting Function ◽  
Pid Controllers ◽  
Set Point ◽  
Tuning Method ◽  
Point Tracking ◽  
Load Disturbance ◽  
Control Framework ◽  
Feedforward Controller

Although a controller is well-tuned for set-point tracking, it shows poor control results for load disturbance rejection and vice versa. In this paper, a modified two-degree-of-freedom (2-DOF) control framework to solve this problem is proposed, and an optimal tuning method for the pa-rameters of each proportional integral derivative (PID) controller is discussed. The unique feature of the proposed scheme is that a feedforward controller is embedded in the parallel control structure to improve set-point tracking performance. This feedforward controller and the standard PID con-troller are combined to create a new set-point weighted PID controller with a set-point weighting function. Therefore, in this study, two controllers are used: a set-point weighted PID controller for set-point tracking and a conventional PID controller for load disturbance rejection. The parameters included in the two controllers are tuned separately to improve set-point tracking and load dis-turbance rejection performances, respectively. Each controller is optimally tuned by genetic algo-rithm (GA) in terms of minimizing the IAE performance index, and what is special at this time is that it also tunes the set-point weighting parameter simultaneously. The simulation results performed on four virtual processes verify that the proposed method shows better performance in set-point tracking and load disturbance rejection than those of the other methods.

scholarly journals Analysis of the Soft-Switching Tuning Effect on the Figures of Merit Involved in the Design of a Class-E Amplifier with Finite DC-Feed Inductance

Electronics ◽  
2021 ◽  
Vol 10 (14) ◽  
pp. 1705
Author(s):  
Ingrid Casallas ◽  
Robert Urbina ◽  
Carlos-Ivan Paez-Rueda ◽  
Gabriel Perilla ◽  
Manuel Pérez ◽  
...  
Keyword(s):  
Case Studies ◽  
Output Power ◽  
Soft Switching ◽  
Figures Of Merit ◽  
Tuning Method ◽  
Tuning Process ◽  
Tuning Methods ◽  
Zero Voltage ◽  
Voltage Switching ◽  
Class E

This paper explores the design of a Class-E amplifier with finite DC-feed inductance using three tuning methods. Furthermore, this work quantifies the impacts of the tuning process (referred to in this paper as the tuning effect) on the main figures of merit (FoMs) of this amplifier. The tuning goals were to guarantee two conditions: zero voltage and zero voltage derivative switching (i.e., soft-switching tuning). To the best of the authors’ knowledge, systematic tuning methods have not been analyzed before for this amplifier topology. Two of them are based on the iterative component tuning process, and they have been explored previously in the design of the conventional class-E amplifier with an RF choke inductance. The last tuning method explores the simultaneous adjustment of the control signal period and one amplifier capacitor. The analyzed tuning methods were validated by extensive simulations of case studies, which were designed following the power specifications of the Qi standard. In 100% and 96% of the case studies, zero voltage switching (ZVS) and zero-derivative voltage switching (ZDS) were achieved, respectively. Furthermore, we identified an unexpected behavior in the tuning process (referred to in this paper as the turning point), which consisted of a change of the expected trend of the soft-switching (i.e., ZVS and ZDS) point, and it occurred in 21% of the case studies. When this behavior occurred and converged to at least ZVS, the tuning process required more iterations and a large number of tuning variables. Additionally, after the tuning process, the total harmonic distortion and output power capacity were improved (i.e., in 78% and 61% of the case studies, respectively), whereas the output power, drain and added power efficiencies deteriorated (i.e., in 83%, 61% and 65% of the case studies, respectively) in the overall case studies. However, we could not identify an improvement in the overall FoMs related to the soft-switching tuning. Furthermore, the tuning impact was significant and produced some improvements and some deleterious effects for the FoMs in each case study, without a clear trend by FoMs or by tuning method. Therefore, the amplifier designer may choose the more favorable tuning method and the related FoM trade-offs for the required design specifications.

Generalized Frequency Domain Robust Tuning of a Family of Fractional Order PI/PID Controllers to Handle Higher Order Process Dynamics

2011 ◽  
Vol 403-408 ◽  
pp. 4859-4866 ◽  
Author(s):  
Saptarshi Das ◽  
Amitava Gupta ◽  
Shantanu Das
Keyword(s):  
Frequency Domain ◽  
Fractional Order ◽  
Test Bench ◽  
Standard Test ◽  
Higher Order ◽  
Pid Controllers ◽  
Order Process ◽  
Controller Tuning ◽  
Process Dynamics ◽  
The Family

Generalization of the frequency domain robust tuning has been proposed in this paper for a family of fractional order (FO) PI/PID controllers. The controller tuning is enhanced with two new FO reduced parameter templates which are capable of capturing higher order process dynamics with much better accuracy. The paper validates the proposed methodology with a standard test-bench of higher order processes to show the relative merits of the family of FO controller structures.

Sign in / Sign up

Export Citation Format

Share Document