Fractional PID Controller Applied to a Chemical Plant with Level and pH Control

2018 ◽  
Vol 13 (4) ◽  
Author(s):  
Renato Aparecido Aguiar ◽  
Ivan Carlos Franco ◽  
Fabrizio Leonardi ◽  
Fábio Lima
Keyword(s):  
Fractional Order ◽  
Pid Control ◽  
Pid Controller ◽  
Ph Control ◽  
Dynamic Responses ◽  
Control Performance ◽  
Proportional Integral Derivative ◽  
Control Effort ◽  
Multivariable Process ◽  
Fractional Order Pid

Abstract One of the most important processes in the chemical, biological and petrochemical industries is the control of the potential of hydrogen (pH). As it is a multivariable process and non-linear, pH control gives rise to many challenges for designers in both dynamic responses and robustness issues. Despite all this complexity, in many circumstances pH control is performed by using a conventional proportional integral derivative (PID) control, which is very common in industry. This paper proposes using a fractional-order PID to improve the pH control performance of a lab-scale process, as it is more flexible, i. e., there is a higher number of variables to be adjusted. Results from a simulation have been compared to those from both conventional and fractional-order PID controls, which has shown the better performance of the latter related to important metrics such as the control effort and dynamic response of the controlled variables.

A novel fractional order PID plus derivative (PIλDµDµ2) controller for AVR system using equilibrium optimizer

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Abdulsamed Tabak
Keyword(s):  
Fractional Order ◽  
Transient Response ◽  
Superior Performance ◽  
Control Performance ◽  
Proportional Integral Derivative ◽  
Content Type ◽  
Proportional Integral ◽  
Avr System ◽  
Optimization Parameters ◽  
Fractional Order Pid

Purpose The purpose of this paper is to improve transient response and dynamic performance of automatic voltage regulator (AVR). Design/methodology/approach This paper proposes a novel fractional order proportional–integral–derivative plus derivative (PIλDµDµ2) controller called FOPIDD for AVR system. The FOPIDD controller has seven optimization parameters and the equilibrium optimizer algorithm is used for tuning of controller parameters. The utilized objective function is widely preferred in AVR systems and consists of transient response characteristics. Findings In this study, results of AVR system controlled by FOPIDD is compared with results of proportional–integral–derivative (PID), proportional–integral–derivative acceleration, PID plus second order derivative and fractional order PID controllers. FOPIDD outperforms compared controllers in terms of transient response criteria such as settling time, rise time and overshoot. Then, the frequency domain analysis is performed for the AVR system with FOPIDD controller, and the results are found satisfactory. In addition, robustness test is realized for evaluating performance of FOPIDD controller in perturbed system parameters. In robustness test, FOPIDD controller shows superior control performance. Originality/value The FOPIDD controller is introduced for the first time to improve the control performance of the AVR system. The proposed FOPIDD controller has shown superior performance on AVR systems because of having seven optimization parameters and being fractional order based.

scholarly journals Performance Evaluation of Fractional Order Pid and Sliding Mode Control with Optimization Tuning Access

2019 ◽  
Vol 8 (2S8) ◽  
pp. 1448-1454
Keyword(s):  
Fractional Order ◽  
Pid Controller ◽  
World Economy ◽  
Sliding Mode ◽  
Proportional Integral Derivative ◽  
Robust Controller ◽  
The Past ◽  
Control Schemes ◽  
Different Types ◽  
Fractional Order Pid

The statistical analyses in the past showing the important properties of the electrohydraulic actuator (EHA) system, especially in the growth of the world economy. Dealing with the existing drawback in the EHA system, various types of control schemes have been introduced in the past. In this paper, to produce a more insightful view of the performance and the capabilities of the controller, three different types of controllers have been designed and compared. The favourite controller in the industry field, which is the proportional-integral-derivative (PID) controller will be first introduced. Follow by the improved PID controller, named Fractional Order (FO-PID) controller will be designed. Then, the prominent robust controller in the control field, called sliding mode controller (SMC) will be established. Instead of obtaining the controller’s parameters without any appropriate technique, the well-known tuning technique in computer science, named particle swarm optimization (PSO) will be utilized. Referring to the performances produced by these controllers, it can be concluded that the SMC is capable to generate most desired control performance that produced the highest accuracy with the smallest error in the analyses.

Optimal fractional-order PID control design for time-delayed multi-input multi-output seismic-excited structural system

2021 ◽  
pp. 107754632110531
Author(s):  
Abbas-Ali Zamani ◽  
Sadegh Etedali
Keyword(s):  
Time Delay ◽  
Control Systems ◽  
Design Process ◽  
Fractional Order ◽  
Seismic Performance ◽  
Pid Control ◽  
Pid Controller ◽  
Control Design ◽  
Structural System ◽  
Fractional Order Pid

The application of the fractional-order PID (FOPID) controller is recently becoming a topic of research interest for vibration control of structures. Some researchers have successfully implemented the FOPID controller in a single-input single-output (SISO) control structural system subjected to earthquake excitations. However, there is a lack of research that focuses on its application in multi-input multi-output (MIMO) control systems to implement it in seismic-excited structures. In this case, the cross-coupling of the process channels in the MIMO control structural system may result in a complex design process of controllers so that each loop is independently designed. From an operational point of view, the time delay and saturation limit of the actuators are other challenges that significantly affect the performance and robustness of the controller so that ignoring them in the design process may lead to unrealistic results. According to the challenges, the present study proposed an optimal fractional-order PID control design approach for structural control systems subjected to earthquake excitation. Gases Brownian motion optimization (GBMO) algorithm is utilized for optimal tuning of the controller parameters. Considering six real earthquakes and seven performance indices, the performance of the proposed controller, implemented on a ten-story building equipped with an active tendon system (ATS), is compared with those provided by the classical PID controller. Simulation results indicate that the proposed FOPID controller is more efficient than the PID in both terms of seismic performance and robustness against time-delay effects. The proposed FOPID controller can maintain suitable seismic performance in small time delays, while a significant performance loss is observed for the PID controller.

scholarly journals Magnetorheological Elastomer Precision Platform Control Using OFFO-PID Algorithm

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Ying-Qing Guo ◽  
Jie Zhang ◽  
Dong-Qing He ◽  
Jin-Bao Li
Keyword(s):  
Real Time ◽  
Fractional Order ◽  
Pid Controller ◽  
Vibration Isolation ◽  
Dynamic Responses ◽  
Magnetorheological Elastomer ◽  
Controlled System ◽  
Pid Algorithm ◽  
Fractional Order Pid ◽  
Fractional Order Pid Controller

The magnetorheological elastomer (MRE) is a kind of smart material, which is often processed as vibration isolation and mitigation devices to realize the vibration control of the controlled system. The key to the effective isolation of vibration and shock absorption is how to accurately and in real time determine the magnitude of the applied magnetic field according to the motion state of the controlled system. In this paper, an optimal fuzzy fractional-order PID (OFFO-PID) algorithm is proposed to realize the vibration isolation and mitigation control of the precision platform with MRE devices. In the algorithm, the particle swarm optimization algorithm is used to optimize initial values of the fractional-order PID controller, and the fuzzy algorithm is used to update parameters of the fractional-order PID controller in real time, and the fractional-order PID controller is used to produce the control currents of the MRE devices. Numerical analysis for a platform with the MRE device is carried out to validate the effectiveness of the algorithm. Results show that the OFFO-PID algorithm can effectively reduce the dynamic responses of the precision platform system. Also, compared with the fuzzy fractional-order PID algorithm and the traditional PID algorithm, the OFFO-PID algorithm is better.

scholarly journals Identification and Speed Control of DC Motor Using Fractional Order PID: Microcontroller

2020 ◽  
Vol 4 (1) ◽  
Author(s):  
Magdi M. El-Saadawi ◽  
Eid Abdelbaqi Gouda ◽  
Mostafa A. Elhosseini ◽  
Mohamed Said Essa
Keyword(s):  
Fractional Order ◽  
Pid Control ◽  
Pid Controller ◽  
Dc Motor ◽  
Grey Wolf ◽  
Control Effect ◽  
Grey Wolf Optimization ◽  
And Control ◽  
Fractional Order Pid

This paper uses Fractional-order PID control (FOPID) to control the speed of the DC motor.  FOPID is more flexible and confident in controlling control higher-order systems compared to classical PID. In this work, the FOPID controller tuning is carried out using different methods ranging from classical techniques to most recent heuristic methods are Fractional Grey wolf Optimization and Nelder-Mead. Moreover, parameter estimation of real-world DC motor is carried out experimentally using Matlab/Simulink interfaced to an Arduino Uno board. The feasibility of FOPID is demonstrated through applications to well-known DC motor case study and the estimated DC motor. Based on ISE, ITE, and ISTE performance measures, the proposed approach provide less settling time, rise time and comparable overshoot compared with existing literature approaches. A robustness assessment with differences in the DC motor components is performed. Simulation finding provide validation of the suggested work and the FOPID controller effectiveness as compared to classical PID controller in terms of robustness and control effect.

Fractional-Order PID Controller of a Heating-Furnace System

2012 ◽  
Vol 490-495 ◽  
pp. 1145-1149 ◽  
Author(s):  
Yan Mei Wang ◽  
Yi Jie Liu ◽  
Rui Zhu ◽  
Yan Zhu Zhang
Keyword(s):  
Fractional Calculus ◽  
Fractional Order ◽  
Pid Control ◽  
Pid Controller ◽  
Control Method ◽  
Heating Furnace ◽  
Order Model ◽  
Integer Order ◽  
System A ◽  
Fractional Order Pid

This paper discusses the fractional-order controller of heating-furnace system, a new PID controller of heating-furnace system based on fractional calculus will be considered. Classical PID control method is also studied. Then, this paper presents the fractional-order PID control method based on integer-order model of heating-furnace system. Meanwhile, simulation study is done. Comparing the control methods and strategies of integer order model of the heating-furnace system, a conclusion is drawn that PID control based on fractional calculus is much more complex than that of integer order controller. Numerical simulations are used to illustrate the improvements of the proposed controller for the integer-order heating-furnace systems.

Fractional Order Control of Fractional Diffusion Systems Subject to Input Hysteresis

2010 ◽  
Vol 5 (2) ◽  
Author(s):  
Necati Özdemir ◽  
Beyza Billur İskender
Keyword(s):  
Fractional Order ◽  
Pid Controller ◽  
Fractional Diffusion ◽  
Pid Controllers ◽  
Algebraic Equations ◽  
Proportional Integral Derivative ◽  
Diffusion Systems ◽  
Hysteresis Nonlinearity ◽  
Liouville Fractional Derivative ◽  
Fractional Order Pid

This paper concerns the control of a time fractional diffusion system defined in the Riemann–Liouville sense. It is assumed that the system is subject to hysteresis nonlinearity at its input, where the hysteresis is mathematically modeled with the Duhem operator. To compensate the effects of hysteresis nonlinearity, a fractional order Proportional+Integral+Derivative (PID) controller is designed by minimizing integral square error. For numerical computation, the Riemann–Liouville fractional derivative is approximated by the Grünwald–Letnikov approach. A set of algebraic equations arises from this approximation, which can be solved numerically. Performance of the fractional order PID controllers are analyzed in comparison with integer order PID controllers by simulation results, and it is shown that the fractional order controllers are more advantageous than the integer ones.

Fuzzy Logic Based Set-Point Weighting for Fractional Order PID Control

2013 ◽  
Vol 367 ◽  
pp. 369-376 ◽  
Author(s):  
R. Karthikeyan ◽  
Sreekanth Pasam ◽  
S. Sudheer ◽  
Vallabhaneni Teja
Keyword(s):  
Fractional Order ◽  
Dynamic Systems ◽  
Pid Control ◽  
Pid Controller ◽  
Research Community ◽  
Control Structures ◽  
Set Point ◽  
Integer Order ◽  
Second Order Systems ◽  
Fractional Order Pid

Differentiation and integration of non-integer order have drawn increasing attention in research community. Fractional order dynamic systems have been recognized as effective tool for characterizing the real world phenomena. This may be implemented by using different control structures in which a fuzzy mechanism is adopted to tune the parameters by using Ziegler-Nichols method. Fractional-order PID control is the development of general integer-order PID controller. This paper proposes the basic framework of fractional order dynamic system with fuzzy weighted set-point. Comparisons are made with PID and FOPID controllers for first and second order systems. The response shows the superiority of the fuzzy set-point weighting methodology over the other methods.

Fractional Order PID Control of Railway Rescue Crane Leveling System

2014 ◽  
Vol 620 ◽  
pp. 449-455
Author(s):  
Jun Peng Shao ◽  
Ling Zhang ◽  
Zhao Hui Jin ◽  
Xiao Dong Yang
Keyword(s):  
Fractional Order ◽  
Pid Control ◽  
Pid Controller ◽  
Control Method ◽  
Servo System ◽  
Response Speed ◽  
Simulation Software ◽  
Step Response ◽  
Fractional Order Pid ◽  
Fractional Order Pid Controller

Aiming at the overshoot problem of electro-hydraulic position servo system used in the process of railway rescue crane hydraulic automatic leveling, and based on its characteristics such as big output power, high control accuracy, quick response speed, et al, this paper established the linear mathematical model of railway rescue crane electro-hydraulic automatic leveling system, besides, the fractional order PID control method was proposed based on the oustaloup digital filter algorithm and the working principle of fractional order PID control method was given, and then the fractional order PID controller was designed. In order to verify the effectiveness of the proposed control strategy, the MATLAB/Simulink simulation software was used. The simulation results show that the fractional order PID controller improved the speed of electro-hydraulic servo system unit step response and the capacity of resisting disturbance compared to traditional integer order PID controller, besides it can ensure the response without overshoot at the same time, so it meets the requirements for rapidity and no overshoot of railway rescue crane hydraulic automatic leveling system very well.

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