PID auto-tuning using new model reduction method and explicit PID tuning rule for a fractional order plus time delay model

2014 ◽  
Vol 24 (1) ◽  
pp. 113-128 ◽  
Author(s):  
Cheon Yu Jin ◽  
Kyung Hwan Ryu ◽  
Su Whan Sung ◽  
Jietae Lee ◽  
In-Beum Lee
Keyword(s):  
Time Delay ◽  
Model Reduction ◽  
Fractional Order ◽  
Reduction Method ◽  
Delay Model ◽  
New Model ◽  
Pid Tuning ◽  
Auto Tuning

Tuning Fractional Order Proportional Integral Controllers for Time Delayed Systems With a Fractional Pole

2011 ◽  
Author(s):  
Hadi Malek ◽  
Ying Luo ◽  
YangQuan Chen
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Model Systems ◽  
Delay Model ◽  
Delayed Systems ◽  
First Order ◽  
Tuning Method ◽  
Starting Point ◽  
Reaction Curve ◽  
Pi Controllers

First order plus time delay model is widely used to model systems with S-shaped reaction curve. Its generalized form is the use of a single fractional pole to replace the first order (single-time constant) model, which is believed to better characterize the reaction curve. Using time delayed system model with a fractional pole as the starting point, in this paper, designing fractional order controllers for this class of fractional order systems is investigated. The novelty of this paper is on designing the integer order PID and fractional order PI and [PI] controllers for these class of systems. The simulation and lab experimental results are both included to illustrate the effectiveness of the proposed tuning method. By comparing the results of PID controller, fractional order PI and [PI] controllers, the advantages of the fractional order controller are clearly demonstrated in the case of controlling the single fractional pole plants with constant time delay.

A New Model Reduction Method for Time-Delay Systems

2011 ◽  
Vol 219-220 ◽  
pp. 379-382
Author(s):  
Ling Fang Sun ◽  
Xiang Hua Meng ◽  
Fei Fei Zhang
Keyword(s):  
Genetic Algorithm ◽  
Time Delay ◽  
Model Reduction ◽  
Reduction Method ◽  
Model Performance ◽  
Reduction Process ◽  
Degree Of Approximation ◽  
Delay Systems ◽  
Frequency Model ◽  
Actual Model

A new kind of frequency model reduction method is proposed for unstable processes with time delay based on genetic algorithm. By adopting error between actual model and objective model, the model reduction process is transformed into minimal optimization process. To direct at time-delay problem, phase angle condition is introduced to increase degree of approximation between reduction model and actual model. Performance index is optimized with genetic algorithm to enlarge the applicability of traditional algorithm; the problem of model reduction is solved effectively with this method. Simulation results show that the reduced order model not only can approximate the original model but also can give good dynamic and static characteristics.

A new model reduction method for nonlinear dynamical systems

2009 ◽  
Vol 59 (1-2) ◽  
pp. 183-194 ◽  
Author(s):  
Nikolaos Kazantzis ◽  
Costas Kravaris ◽  
Lemonia Syrou
Keyword(s):  
Dynamical Systems ◽  
Model Reduction ◽  
Reduction Method ◽  
Nonlinear Dynamical Systems ◽  
Nonlinear Dynamical ◽  
New Model

scholarly journals Dynamics of fractional order delay model of coronavirus disease

2021 ◽  
Vol 7 (3) ◽  
pp. 4211-4232
Author(s):  
Lei Zhang ◽  
◽  
Mati Ur Rahman ◽  
Shabir Ahmad ◽  
Muhammad Bilal Riaz ◽  
...  
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Disease Transmission ◽  
Numerical Data ◽  
Numerical Approach ◽  
Existence Theory ◽  
Delay Model ◽  
Suggested Model ◽  
Gamma Delta ◽  
The World

<abstract><p>The majority of infectious illnesses, such as HIV/AIDS, Hepatitis, and coronavirus (2019-nCov), are extremely dangerous. Due to the trial version of the vaccine and different forms of 2019-nCov like beta, gamma, delta throughout the world, still, there is no control on the transmission of coronavirus. Delay factors such as social distance, quarantine, immigration limitations, holiday extensions, hospitalizations, and isolation are being utilized as essential strategies to manage the outbreak of 2019-nCov. The effect of time delay on coronavirus disease transmission is explored using a non-linear fractional order in the Caputo sense in this paper. The existence theory of the model is investigated to ensure that it has at least one and unique solution. The Ulam-Hyres (UH) stability of the considered model is demonstrated to illustrate that the stated model's solution is stable. To determine the approximate solution of the suggested model, an efficient and reliable numerical approach (Adams-Bashforth) is utilized. Simulations are used to visualize the numerical data in order to understand the behavior of the different classes of the investigated model. The effects of time delay on dynamics of coronavirus transmission are shown through numerical simulations via MATLAB-17.</p></abstract>

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