scholarly journals Model reference PI controller tuning for Second Order Inverse Response and Dead Time Processes

Author(s):  
J.A. Martinez ◽  
O. Arrieta ◽  
R. Vilanova ◽  
J.D. Rojas ◽  
L. Marin ◽  
...  
1999 ◽  
Vol 5 (1) ◽  
pp. 19-31 ◽  
Author(s):  
I.K. Kookos ◽  
A.I. Lygeros ◽  
K.G. Arvanitis

Processes ◽  
2020 ◽  
Vol 8 (9) ◽  
pp. 1183 ◽  
Author(s):  
Duby Castellanos-Cárdenas ◽  
Fabio Castrillón ◽  
Rafael E. Vásquez ◽  
Carlos Smith

This work addresses a set of tuning rules for PID controllers based on Internal Model Control (IMC) for inverse-response second-order systems with dead time. The transfer function, and some time-response characteristics for such systems are first described. Then, the IMC-based methodology is developed by using an optimization objective function that mixes performance and robustness. A correlation that minimizes the objective function and that allows the user to compute the controller’s tuning parameter is found. The obtained expressions are mathematically simple, which facilitate their application in a ten-step systematic methodology. Finally, the proposed tuning method is compared to other well-known tuning rules that have been reported in literature, for a wide range of parameters of the process. The performance achieved with the proposed method is very good not only for disturbance rejection but for set-point tracking, when considering a wide-range of parameters of the process’ transfer function.


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