Frequency specifications regions of fractional-order PI controllers for first order plus time delay processes

2013 ◽  
Vol 23 (4) ◽  
pp. 598-612 ◽  
Author(s):  
F.J. Castillo-Garcia ◽  
V. Feliu-Batlle ◽  
R. Rivas-Perez
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
First Order ◽  
Pi Controllers

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.

Fractional order proportional derivative control for first order plus time delay plants: achieving phase and gain specifications simultaneously

2019 ◽  
Vol 41 (15) ◽  
pp. 4358-4369 ◽  
Author(s):  
Bilal Şenol ◽  
Uğur Demiroğlu
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Phase Curve ◽  
First Order ◽  
Bode Plot ◽  
Loop Shaping ◽  
Ideal System ◽  
New Perspective ◽  
And Performance ◽  
Proportional Derivative Controller

The aim of the method in this paper is to achieve desired gain and phase specifications for robustness and performance of first order plus time delay plants. The previously proposed method “frequency frame”, implemented for tuning fractional order proportional integral controllers, is applied on such plants controlled with a fractional order proportional derivative controller. Four specifications of gain and phase are considered in the Bode plot inspired from an ideal system. The frame is drawn enclosing the magnitude and phase curves limited by gain and phase crossover frequencies. Then, the size of the frame is tuned to provide loop-shaping of the curves to meet desired properties. The iso-damping property is achieved by shaping the phase curve. Similarly, numerous studies in the literature work on robustness achievement by loop shaping the phase curve of the Bode plot. However, the “frequency frame” approach is a new perspective in controller tuning. Two examples are illustratively given to prove the proposed method. Plants in the examples are also considered to be due to load disturbances. Simulation results and effects of the method are clearly explained.

TEACHING CONTROL WITH FIRST ORDER TIME DELAY MODEL AND PI CONTROLLERS

2010 ◽  
Vol 42 (24) ◽  
pp. 31-36 ◽  
Author(s):  
M.L. Ruz ◽  
F. Morilla ◽  
F. Vázquez
Keyword(s):  
Time Delay ◽  
Delay Model ◽  
First Order ◽  
Pi Controllers
Sign in / Sign up

Export Citation Format

Share Document