Automatic Tuning of PID Controller Using Second-Order Plus Time Delay Model.

AbstractA novel Proportional-Integral-Derivative (PID) controller is proposed for stable and unstable first order processes with time delay. The controller is cascaded in series with a second order filter. Polynomial approach is employed to derive the controller and filter parameters. Simple tuning rules are derived by analysing the maximum sensitivity of the control loop. Formulae are provided for initial guess of tuning parameter. The range of tuning parameter around the initial guess and the corresponding range of maximum sensitivity is specified based on time delay to time constant ratio. Promising results are obtained with the proposed method is compared against recently proposed methods in the literature. The comparison is made in terms of various performance indices for servo and regulatory responses separately. The proposed method is implemented for an isothermal chemical reactor at an unstable equilibrium point.

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An optimal PID controller via LQR for standard second order plus time delay systems

ISA Transactions ◽

10.1016/j.isatra.2015.11.020 ◽

2016 ◽

Vol 60 ◽

pp. 244-253 ◽

Cited By ~ 22

Author(s):

Saurabh Srivastava ◽

Anuraag Misra ◽

S.K. Thakur ◽

V.S. Pandit

Keyword(s):

Time Delay ◽

Pid Controller ◽

Second Order ◽

Delay Systems ◽

Time Delay Systems

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Design of advanced PID controller for enhanced disturbance rejection of second-order processes with time delay

AIChE Journal ◽

10.1002/aic.11483 ◽

2008 ◽

Vol 54 (6) ◽

pp. 1526-1536 ◽

Cited By ~ 69

Author(s):

M. Shamsuzzoha ◽

Moonyong Lee

Keyword(s):

Time Delay ◽

Disturbance Rejection ◽

Pid Controller ◽

Second Order

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

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.416-417.822 ◽

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.

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