Closed-loop identification of a first-order plus time delay model using Lambert W function

2019 ◽  
Author(s):  
Radmila Gerov ◽  
Zoran Jovanovic
Keyword(s):  
Time Delay ◽  
Closed Loop ◽  
Lambert W Function ◽  
Delay Model ◽  
First Order ◽  
Closed Loop Identification

Closed-Loop Identification Using Laguerre Series Expansions for Second-Order Plus Time Delay Model

2013 ◽  
Vol 416-417 ◽  
pp. 822-833
Author(s):  
Qi Bing Jin ◽  
Si Nian Li ◽  
Qie Liu ◽  
Qi Wang
Keyword(s):  
Time Delay ◽  
Closed Loop ◽  
Second Order ◽  
High Order ◽  
Series Expansions ◽  
Delay Model ◽  
Order Process ◽  
High Order Process ◽  
Laguerre Series ◽  
Closed Loop Identification

In this paper, a simple yet robust closed-loop identification method based on step response is presented. By approximating the process response firstly using Laguerre series expansions, a high-order process transfer function can be obtained. Then, a linear two-step reduction technique is used to reduce the high-order process to a second-order plus time delay model based on the frequency response data. This method is robust to measurement noise and it also does not need any numerical technique or iterative optimization. Simulation examples show the effectiveness of the proposed method for different process models. Comparison of identification performance between different methods is also illustrated in this work.

Research on a reduced order closed-loop identification algorithms based on AIC for process with time delay

2018 ◽  
Vol 22 (S6) ◽  
pp. 13247-13260
Author(s):  
Yimin Zheng ◽  
Guoli Ji ◽  
Zhuoyun Nie ◽  
Jiangyin Huang
Keyword(s):  
Time Delay ◽  
Closed Loop ◽  
Reduced Order ◽  
Closed Loop Identification

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.

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