Stability Improvement of Fractional-Order Filters Using Gain Bandwidth and Step Response Approach

2021 ◽  
pp. 113-123
Author(s):  
Kumar Biswal ◽  
Sanjeeb Kumar Kar ◽  
Madhab Chandra Tripathy
Keyword(s):  
Fractional Order ◽  
Step Response ◽  
Gain Bandwidth

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.

Fractional order PID Based Control Strategy for the Valve Plant of Hydraulic Transformer

2012 ◽  
Vol 203 ◽  
pp. 46-50
Author(s):  
Shu Nan Liu ◽  
Dan Tong Xie ◽  
Shu Qiang Jia ◽  
Tao Shang ◽  
Yong Ming Yao ◽  
...  
Keyword(s):  
Fractional Order ◽  
Control Strategy ◽  
Fuzzy Logic Controller ◽  
Differential Evolution Algorithm ◽  
Pressure Control ◽  
Step Response ◽  
Fuzzy Pid Control ◽  
Output Pressure ◽  
Hydraulic Transformer ◽  
Fractional Order Pid

Aiming at the pressure control of hydraulic transformer (HT), the fractional order PID (FOPID) controller is proposed for the control of the position of the valve plate. The assignment system of the HT is carefully modeled. To optimally determine the parameters of the FOPID controller, a self-adapting differential evolution algorithm is employed. Numerical simulation is conducted to investigate the proposed control strategy. Both step response and sinusoidal command signal tracking of the servo system is assessed, and the results demonstrate that the proposed control strategy is obviously superior to the conventional PID, Fuzzy Logic Controller (FLC) and fuzzy-PID control strategy, and can afford precise tracking performances. It is suitable for the precise adjustment of the output pressure of the HT.

scholarly journals Fractional Order PID Controller Design for an AVR System Using Chaotic Yellow Saddle Goatfish Algorithm

Mathematics ◽  
2020 ◽  
Vol 8 (7) ◽  
pp. 1182 ◽  
Author(s):  
Mihailo Micev ◽  
Martin Ćalasan ◽  
Diego Oliva
Keyword(s):  
Fractional Order ◽  
Controller Design ◽  
Step Response ◽  
Voltage Regulator ◽  
Performance Tests ◽  
Avr System ◽  
Pid Controller Design ◽  
Novel Method ◽  
Fractional Order Pid ◽  
Fractional Order Pid Controller

This paper presents a novel method for optimal tunning of a Fractional Order Proportional-Integral-Derivative (FOPID) controller for an Automatic Voltage Regulator (AVR) system. The presented method is based on the Yellow Saddle Goatfish Algorithm (YSGA), which is improved with Chaotic Logistic Maps. Additionally, a novel objective function for the optimization of the FOPID parameters is proposed. The performance of the obtained FOPID controller is verified by comparison with various FOPID controllers tuned by other metaheuristic algorithms. A comparative analysis is performed in terms of step response, frequency response, root locus, robustness test, and disturbance rejection ability. Results of the simulations undoubtedly show that the FOPID controller tuned with the proposed Chaotic Yellow Saddle Goatfish Algorithm (C-YSGA) outperforms FOPID controllers tuned by other algorithms, in all of the previously mentioned performance tests.

Estimation of the Order and Parameters of a Fractional Order Model From a Noisy Step Response Data1

2014 ◽  
Vol 136 (3) ◽  
Author(s):  
Mahsan Tavakoli-Kakhki ◽  
Mohammad Saleh Tavazoei
Keyword(s):  
Numerical Simulation ◽  
Fractional Order ◽  
Closed Loop ◽  
Open Loop ◽  
Measurement Noise ◽  
Step Response ◽  
Order Model ◽  
Response Data ◽  
Fractional Order Model ◽  
Simulation Results

This paper deals with integral based methods to estimate the order and parameters of simple fractional order models from the extracted noisy step response data of a process. This data can be obtained from both open-loop and closed-loop tests. Numerical simulation results are presented to verify the robustness of these proposed methods in the presence of the measurement noise.

Multi-Objective Optimization of Time-Delayed Fractional-Order Damping for Better Step Response

2015 ◽  
Author(s):  
Yousef Sardahi ◽  
Yousef Naranjani ◽  
YangQuan Chen ◽  
Jian-Qiao Sun
Keyword(s):  
Fractional Order ◽  
Optimization Technique ◽  
Absolute Error ◽  
Point Of View ◽  
Step Response ◽  
Peak Time ◽  
Multi Objective Optimization ◽  
Multi Objective ◽  
Squared Error ◽  
The One

In this paper, a multi-objective optimization of a time-delayed fractional order damping system is presented. In previous studies, a single objective optimization of this system was based on minimizing the integral of the squared error JISE, integral of the time-weighted squared error JITSE, integral absolute error JIAE, or integral time-weighted absolute error JITAE. However, from the practical point of view other design goals such as those related to system’s response and stability should be also included since an error-based optimized system can result in a system having the smallest error but at the expense of other crucial objectives. Moreover, the one-objective optimization returns only one design option hiding many important details about other possible design preferences. Here, the system under study is optimized by considering three objectives: peak time tp, the percentage overshoot Mp(%), and JISE. The results show that the multi-objective optimization technique provides more information about the system behavior and grants the decision maker different design options, called the Pareto set. In addition, this study investigates the meaning of the aforementioned integral errors within the multi-objective optimization scope.

scholarly journals Design of IMC-PID controller with fractional-order filter for steam distillation essential oil extraction process

2021 ◽  
Vol 21 (2) ◽  
pp. 801
Author(s):  
Siti Nur Hasinah Binti Johari ◽  
Mohd Hezri Fazalul Rahiman ◽  
Najidah Hambali ◽  
Ramli Adnan ◽  
Mazidah Tajjudin
Keyword(s):  
Essential Oil ◽  
Fractional Order ◽  
Pid Controller ◽  
Steam Distillation ◽  
Reference Model ◽  
Internal Model Control ◽  
Step Response ◽  
Steam Temperature ◽  
Order Filter ◽  
Model Control

<p>Essential oils are one of the industry's major compounds, particularly in the pharmaceutical, perfume and food sectors. They were acquired using several methods such as steam distillation. In this method, heat from the steam will release the aromatic molecule at their specific boiling points. Thus, it is important to regulate the steam temperature at the correct level to get the perfect composition of the yield. Many studies have shown that essential oil is volatile and sensitive to excess heat. In order to maintain the desired steam temperature, this study proposed an internal model control (IMC) based PID with fractional-order filter as a controller for this system. IMC is a model-based control structure that can handle parameter variations and load disturbance very well. With the inverse model imposed in the loop, IMC can gain a perfect tracking control as well. The implementation of a fractional-order filter cascaded to the PID controller may enhance the system robustness to process gain with its iso-damping properties. This study was conducted by simulation using MATLAB R2018. The step response of the closed-loop system has been evaluated with varying filter parameters depending on the desired phase margin of the open-loop reference model. <em></em></p>

scholarly journals A Look-Up Table Based Fractional Order Composite Controller Synthesis Method for the PMSM Speed Servo System

2022 ◽  
Vol 6 (1) ◽  
pp. 47
Author(s):  
Weijia Zheng ◽  
Runquan Huang ◽  
Ying Luo ◽  
YangQuan Chen ◽  
Xiaohong Wang ◽  
...  
Keyword(s):  
Fractional Order ◽  
Synthesis Method ◽  
Differential Evolution Algorithm ◽  
Servo System ◽  
Step Response ◽  
Parametric Uncertainties ◽  
Composite Control ◽  
Look Up Table ◽  
Control Scheme ◽  
Composite Control Scheme

Considering the performance requirements in actual applications, a look-up table based fractional order composite control scheme for the permanent magnet synchronous motor speed servo system is proposed. Firstly, an extended state observer based compensation scheme was adopted to suppress the motor parametric uncertainties and convert the speed servo plant into a double-integrator model. Then, a fractional order proportional-derivative (PDμ) controller was adopted as the speed controller to provide the optimal step response performance for the servo system. A universal look-up table was established to estimate the derivative order of the PDμ controller, according to the optimal samples collected by an improved differential evolution algorithm. With the look-up table, the optimal PDμ controller can be tuned analytically. Simulation and experimental results show that the servo system using the composite control scheme can achieve optimal tracking performance and has robustness to the motor parametric uncertainties and disturbance torques.

Transient and Steady-State Response of a Fractional-Order Dynamic PV Model Under Different Loads

2017 ◽  
Vol 27 (02) ◽  
pp. 1850023 ◽  
Author(s):  
Amr M. AbdelAty ◽  
A. G. Radwan ◽  
A. S. Elwakil ◽  
C. Psychalinos
Keyword(s):  
Transfer Function ◽  
Dynamic Model ◽  
Fractional Order ◽  
Degrees Of Freedom ◽  
Step Response ◽  
Loading Conditions ◽  
Input Admittance ◽  
Solar Module ◽  
Load Current ◽  
Actual Response

In this paper, a fractional-order dynamic model of the photovoltaic (PV) solar module is introduced. Dynamic modeling of PV solar modules is useful when used in switching circuits and grid-connected situations. The dynamic elements of the proposed model are a fractional-order inductor and capacitor of two independent orders which allow for two extra degrees of freedom over the conventional dynamic model. The step response and transfer function of the load current are investigated for different orders under resistive and supercapacitor loading conditions. Closed-form expressions for the time response of the load current at equal orders of capacitor and inductor are derived. Stability analysis of the load current transfer function is carried out for different orders and loading conditions. The regions for pure real and pure imaginary input admittance scenarios are calculated numerically for both resistive and supercapacitor load cases. It is found that the order of the inductor has a dominant effect on the responses. As a proof of concept, the model is fitted to experimental data to show its flexibility in regenerating the actual response. The fitted fractional-order model response is compared to optimized integer-order ones from literature showing noticeable improvement.

Sign in / Sign up

Export Citation Format

Share Document