scholarly journals Tuning Three-Term Controllers for Integrating Processes with both Inverse Response and Dead Time

10.5772/33678 ◽  
2012 ◽  
Author(s):  
K. G. Arvanitis ◽  
N. K. Bekiaris Liberis ◽  
G. D. Pasgianos ◽  
A. Pantelous
Keyword(s):  
Dead Time ◽  
Inverse Response

scholarly journals New tuning rules for PID controllers based on IMC with minimum IAE for inverse response processes

DYNA ◽  
2015 ◽  
Vol 82 (194) ◽  
pp. 111-118 ◽  
Author(s):  
Fabio Castrillón Hernández ◽  
Duby Castellanos-Cárdenas
Keyword(s):  
Dead Time ◽  
Stability Limit ◽  
Absolute Error ◽  
Internal Model Control ◽  
Tuning Parameter ◽  
Pid Controllers ◽  
Response System ◽  
Model Control ◽  
Inverse Response ◽  
Tuning Rules

In this paper new tuning rules for Proportional Integral Derivative (PID) are presented, which are based on Internal Model Control (IMC). This set of equations minimizes the performance index, in this case, the Integral Absolute Error (IAE). Furthermore, a correlation is proposed in order to calculate the tuning parameter of the method, where a holding oscillation response is obtained regarding changes in the set point. This value represents a stability limit for the IMC method. The overall development is then applied to an Inverse Response System of second order and with dead time.

scholarly journals PID Tuning Method Based on IMC for Inverse-Response Second-Order Plus Dead Time Processes

Processes ◽  
2020 ◽  
Vol 8 (9) ◽  
pp. 1183 ◽  
Author(s):  
Duby Castellanos-Cárdenas ◽  
Fabio Castrillón ◽  
Rafael E. Vásquez ◽  
Carlos Smith
Keyword(s):  
Transfer Function ◽  
Objective Function ◽  
Dead Time ◽  
Second Order ◽  
Internal Model Control ◽  
Tuning Method ◽  
Wide Range ◽  
Model Control ◽  
Inverse Response ◽  
Tuning Rules

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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