Robust Design of PID Controller Using IMC Technique for Integrating Process Based on Maximum Sensitivity

2015 ◽  
Vol 26 (5) ◽  
pp. 466-475 ◽  
Author(s):  
Gopi Krishna Rao Panyam Vuppu ◽  
Subramanyam Makam Venkata ◽  
Satyaprasad Kodati
Keyword(s):  
Robust Design ◽  
Pid Controller ◽  
Maximum Sensitivity ◽  
Integrating Process

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.

Graphic IMC-PID tuning based on maximum sensitivity for uncertain systems

2018 ◽  
Vol 41 (8) ◽  
pp. 2196-2204 ◽  
Author(s):  
Minghui Chu ◽  
Chi Xu ◽  
Jizheng Chu
Keyword(s):  
Pid Controller ◽  
Uncertain Systems ◽  
Dynamic Performance ◽  
Uncertain System ◽  
Internal Model Control ◽  
Maximum Sensitivity ◽  
Tuning Method ◽  
Pid Tuning ◽  
Gain Margin ◽  
Model Control

Obtaining all feasible parameters of the proportional-integral-differential (PID) controller is the key goal in uncertain systems. This paper proposes a graphical tuning method based on an internal model control (IMC) strategy for uncertain systems with time delay. Specifically, the Kharitonov theorem is introduced first to simplify the uncertain system into 32 polynomials. Then, for each polynomial, the IMC structure is applied to reduce the tuning parameters of the PID controller in order to rapidly determine the controller parameters. Finally, the maximum sensitivity (Ms) is used to further guarantee the controlled system with a certain robustness and dynamic performance, which can portray constant gain margin and phase margin boundaries, and can even determine the range of parameters of the proposed IMC filter. Three example results from simulations are presented to demonstrate the effectiveness and applicability of the proposed method.

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