A H infinity design method of PID controller for second-order processes with integrator and time delay

2004 ◽  
Author(s):  
Tao Liu ◽  
Danying Gu ◽  
Weidong Zhang
Keyword(s):  
Time Delay ◽  
Pid Controller ◽  
Design Method ◽  
Second Order ◽  
H Infinity

A Novel PID Controller with Second Order Lead/Lag Filter for Stable and Unstable First Order Process with Time Delay

2018 ◽  
Vol 13 (1) ◽  
Author(s):  
Praveen Kumar Medarametla ◽  
Manimozhi Muthukumarasamy
Keyword(s):  
Time Delay ◽  
Pid Controller ◽  
Chemical Reactor ◽  
Initial Guess ◽  
Second Order ◽  
Maximum Sensitivity ◽  
Tuning Parameter ◽  
First Order ◽  
In Series ◽  
Made In

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.

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

2016 ◽  
Vol 60 ◽  
pp. 244-253 ◽  
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

A Direct Estimation Method of Second Order Plus Time Delay Model Parameters for PID Controller Autotuning.

1999 ◽  
Vol 32 (3) ◽  
pp. 288-294 ◽  
Author(s):  
Kyung Joo Chung ◽  
Hee Jin Kwak ◽  
Su Whan Sung ◽  
In-Beum Lee ◽  
Jin Yong Park
Keyword(s):  
Time Delay ◽  
Pid Controller ◽  
Estimation Method ◽  
Second Order ◽  
Model Parameters ◽  
Delay Model ◽  
Direct Estimation

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

1996 ◽  
Vol 29 (6) ◽  
pp. 990-999 ◽  
Author(s):  
Su Whan Sung ◽  
Jungmin O ◽  
In-Beum Lee ◽  
Jietae Lee ◽  
Seok-Ho Yi
Keyword(s):  
Time Delay ◽  
Pid Controller ◽  
Second Order ◽  
Automatic Tuning ◽  
Delay Model

scholarly journals An Improved Analytical Tuning Rule of a Robust PID Controller for Integrating Systems with Time Delay Based on the Multiple Dominant Pole-Placement Method

Symmetry ◽  
2020 ◽  
Vol 12 (9) ◽  
pp. 1449 ◽  
Author(s):  
Wei Zhang ◽  
Yue Cui ◽  
Xiangxin Ding
Keyword(s):  
Time Delay ◽  
Pid Controller ◽  
Second Order ◽  
Pole Placement ◽  
Tuning Parameter ◽  
Third Order ◽  
Placement Method ◽  
The Third ◽  
Dominant Pole ◽  
Fifth Order

An improved analytical tuning rule of a Proportional-Integral-Derivative (PID) controller for integrating systems with time delay is proposed using the direct synthesis method and multiple dominant pole-placement approach. Different from the traditional multiple dominant pole-placement method, the desired characteristic equation is obtained by placing the third-order dominant poles at −1/λ and placing the second-order non-dominant poles at −5/λ (λ is the tuning parameter). According to root locus theory, the third-order dominant poles and the second-order non-dominant poles are nearly symmetrically located at the two sides of the fifth-order dominant poles. This makes the third-order dominant poles closer to the imaginary axis than the fifth-order dominant poles, which means that, possibly, better performances can be achieved. Analytical formulas of a PID controller with a lead-lag filter are derived. Simple tuning rules are also given to achieve the desired robustness, which is measured by the maximum sensitivity (Ms) value. The proposed method can achieve better performances and maintain better performances when there exist parameters’ perturbation compared with other methods. Simulations for various integrating processes as well as the nonlinear continuous stirred tank reactor (CSTR) model illustrate the applicability and effectiveness of the proposed method.

scholarly journals GA Tuning PID Controller Based on Second-order Time-delay Industrial System

2019 ◽  
Vol 288 ◽  
pp. 01009
Author(s):  
Zhi Wang ◽  
Xiangtao Ran ◽  
Bin Zhao ◽  
Jie Zhao
Keyword(s):  
Time Delay ◽  
Pid Controller ◽  
Optimization Methods ◽  
Optimization Method ◽  
Delay System ◽  
Second Order ◽  
Step Response ◽  
Time Delay System ◽  
Performance Indexes ◽  
Intelligent Genetic Algorithm

For a typical second-order time-delay system model, an intelligent genetic algorithm is used to initially optimize the initial parameters of the PID controller, and a step response curve of the system is obtained, and the performance index is compared with performance indexes obtained by other optimization methods. The results show that the GA optimization method is more robust.

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