scholarly journals Fractional-Order Approximation and Synthesis of a PID Controller for a Buck Converter

Energies ◽  
2020 ◽  
Vol 13 (3) ◽  
pp. 629 ◽  
Author(s):  
Allan G. Soriano-Sánchez ◽  
Martín A. Rodríguez-Licea ◽  
Francisco J. Pérez-Pinal ◽  
José A. Vázquez-López
Keyword(s):  
Fractional Order ◽  
Pid Controller ◽  
Order Approximation ◽  
Buck Converter ◽  
Step Response ◽  
Pid Controllers ◽  
Limited Frequency ◽  
Tuning Process ◽  
Band Limited ◽  
Fractional Order Pid

In this paper, the approximation of a fractional-order PIDcontroller is proposed to control a DC–DC converter. The synthesis and tuning process of the non-integer PID controller is described step by step. A biquadratic approximation is used to produce a flat phase response in a band-limited frequency spectrum. The proposed method takes into consideration both robustness and desired closed-loop characteristics, keeping the tuning process simple. The transfer function of the fractional-order PID controller and its time domain representation are described and analyzed. The step response of the fractional-order PID approximation shows a faster and stable regulation capacity. The comparison between typical PID controllers and the non-integer PID controller is provided to quantify the regulation speed introduced by the fractional-order PID approximation. Numerical simulations are provided to corroborate the effectiveness of the non-integer PID controller.

Exploiting Fractional Order PID Controller Methods in Improving the Performance of Integer Order PID Controllers: A GA Based Approach

2009 ◽  
Author(s):  
Bijoy K. Mukherjee ◽  
Santanu Metia ◽  
Sio-Iong Ao ◽  
Alan Hoi-Shou Chan ◽  
Hideki Katagiri ◽  
...  
Keyword(s):  
Fractional Order ◽  
Pid Controller ◽  
Pid Controllers ◽  
Integer Order ◽  
Fractional Order Pid ◽  
Fractional Order Pid Controller

Design and Realization of Stand-Alone Digital Fractional Order PID Controller for Buck Converter Fed DC Motor

2016 ◽  
Vol 35 (6) ◽  
pp. 2189-2211 ◽  
Author(s):  
Swapnil Khubalkar ◽  
Amit Chopade ◽  
Anjali Junghare ◽  
Mohan Aware ◽  
Shantanu Das
Keyword(s):  
Fractional Order ◽  
Pid Controller ◽  
Dc Motor ◽  
Buck Converter ◽  
Fractional Order Pid ◽  
Fractional Order Pid Controller

DESIGN OF ADAPTIVE FUZZY FRACTIONAL ORDER PID CONTROLLER FOR AUTONOMOUS UNDERWATER VEHICLE (AUV) IN HEADING AND DEPTH ATTITUDES

2021 ◽  
Vol 158 (A1) ◽  
Author(s):  
M H Khodayari ◽  
S Balochian
Keyword(s):  
Fractional Order ◽  
Pid Controller ◽  
Autonomous Underwater Vehicle ◽  
Path Following ◽  
Transient State ◽  
Pid Controllers ◽  
Adaptive Fuzzy ◽  
Highly Nonlinear ◽  
Self Tuning ◽  
Fractional Order Pid

This paper deals with the design of new self-tuning Fuzzy Fractional Order PID (AFFOPID) controller based on nonlinear MIMO structure for an AUV in order to enhance the performance in both transient state and steady state of traditional PID controller. It is particularly advantageous when the effects of highly nonlinear processes, like high maneuver, parameters variation, have to be controlled in presence of sensor noises and wave disturbances. Aspects of AUV controlling are crucial because of Complexity and highly coupled dynamics, time variety and difficulty in hydrodynamic modeling. In this try, the comprehensive nonlinear model of AUV is derived through kinematics and dynamic equations. The scaling factor of the proposed AFFOPID Controller is adjusted online at different underwater conditions. Combination of adaptive fuzzy methods and PID controllers can enhance solving the uncertainty challenge in the PID parameters and AUV parameter uncertainty. The simulation results show that developed control system is stable, competent and efficient enough to control the AUV in path following with stabilized and controlled speed. Obtained results demonstrate that the proposed controller has good performance and significant robust stability in comparison to traditional tuned PID controllers.

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.

Design of Fractional Order PID Controller Based on Artificial Immune Algorithm

2011 ◽  
Vol 268-270 ◽  
pp. 1061-1066 ◽  
Author(s):  
You Rui Huang ◽  
Hai Bo Hu
Keyword(s):  
Fractional Order ◽  
Pid Controller ◽  
Immune Algorithm ◽  
Pid Controllers ◽  
Time Varying ◽  
Artificial Immune ◽  
Artificial Immune Algorithm ◽  
Fractional Order Pid ◽  
Fractional Order Pid Controller ◽  
Method Of Design

PID control scheme has been widely used in most of control system. The method of design PID controller is mature gradually. Due to the controlled object is nonlinear and time-varying, so the integer PID controller can not achieve the desired effect. After study people found that the application of fractional order PID controllers can solve the problem of time-varying and nonlinear very well and the controller has high control precision. Currently, the method of design fractional order PID controllers is little. This article describes an artificial immune algorithm and using MATLAB for simulation, the simulation results demonstrate that the artificial immune algorithm has little error and high optimization speed than traditional optimization algorithm, and the fractional order PID controller has a better control effect than traditional integer PID controller.

scholarly journals Variable, Fractional-Order PID Controller Synthesis Novelty Method

2020 ◽  
Author(s):  
Piotr Ostalczyk ◽  
Piotr Duch
Keyword(s):  
Fractional Order ◽  
Pid Controller ◽  
Main Idea ◽  
Pid Controllers ◽  
Time Interval ◽  
Discrete Variable ◽  
Closed Loop Systems ◽  
The Stability ◽  
Fractional Order Pid ◽  
Fractional Order Pid Controller

The novelty method of the discrete variable, fractional order PID controller is proposed. The PID controllers are known for years. Many tuning continuous time PID controller methods are invented. Due to different performance criteria there are optimized three parameters: proportional, integral and differentiation gains. In the fractional order PID controllers there are two additional parameters: fractional order integration and differentiation. In the variable, fractional order PID controller fractional orders are generalized to functions. Nowadays all PID controllers are realized by microcontrollers in a discrete time version. Hence, the order functions are discrete variable bounded ones. Such controllers offer better transient characteristics of the closed loop systems. The choice of the order functions is still the open problem. In this Section a novelty intuitive idea is proposed. As the order functions one applies two spline functions with bounded functions defined for every time subinterval. The main idea is that in the final time interval the variable, fractional order PID controller transforms itself to the classical one preserving the stability conditions and zero steady-state error signal. This means that in the last time interval the discrete integration order is −1 and differentiation is 1.

Pareto Optimal Robust Design of Fuzzy Fractional-Order Pid Controllers

2011 ◽  
Vol 403-408 ◽  
pp. 4735-4742
Author(s):  
Nader Nariman Zadeh ◽  
Amir Hajiloo
Keyword(s):  
Fractional Order ◽  
Robust Design ◽  
Pid Controller ◽  
Pid Controllers ◽  
Pareto Optimum ◽  
Pareto Optimal ◽  
Objective Functions ◽  
Trade Off ◽  
Fractional Order Pid ◽  
Fractional Order Pid Controller

In this paper, a multi-objective uniform-diversity genetic algorithm (MUGA) is used for Pareto optimum design of fuzzy fractional-order PID controllers for plants with parametric uncertainties. Two conflicting objective functions have been used in Pareto design of the fuzzy fractional-order PID controller. The results clearly show that an effective trade-off can be compromisingly achieved among the different fuzzy fractional-order PID controllers obtained using the methodology of this work and to achieve a robust design against the plant’s uncertainties.

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.

scholarly journals Design of a Fractional Order PID Controller for Electric Hydraulic Actuator

2021 ◽  
pp. 59-68
Author(s):  
Erinna Dyah Atsari ◽  
Abdul Halim
Keyword(s):  
Steady State ◽  
Fractional Order ◽  
Pid Controller ◽  
Pid Controllers ◽  
System Response ◽  
Hydraulic Actuator ◽  
Fluid Flow Control ◽  
Two Parameters ◽  
Fractional Order Pid ◽  
Fractional Order Pid Controller

Electric hydraulic actuators are more used especially in industries that demand high levels of accuracy. A common problem with this type of actuator is consistency in fluid flow control. PID controllers can accelerate the achievement of defined output values, eliminate offsets, and reduce maximum overshoots but result in considerable errors. Therefore, it is necessary to design controllers that can reduce errors significantly. In this research, a Fractional Order PID controller is developed to reduce maximum overshoots and steady state. Unlike conventional PID controllers that have three  parameters, in the Fractional Order PID controller, there are extra two parameters of the λ and μ. The   parameters were selected using the Ziegler Nichols method with a 1st order approach with a delay time. Meanwhile, the λ and μ parameters were selected the best value to make the system response better. The results of the design of the Fractional Order PID controller were evaluated using matlab simulation. The simulation results showed that the Fractional Order PID controller was able to reduce the steady state error response by 0.5 %, and the maximum overshoots by 17.4 %. From this result, it can be noted that the Fractional Order PID controller is better than conventional PID.

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