I am searching for the best values for gain values for a PI controller, my supervisor suggested that I may choose the best values according to the error signal. he suggested that I would choose according to the integration of the area under the curve of the error signal, However, this led to incorrect results. I changed my metric to overshoot, settling time, and steady state error. However, I still think they are old metrics. Does anyone suggest a better metric for the error signal?
Dear Mariam Abbadi,
I suggest to you a links and attached files in topics.
-Control Systems/System Metrics - Wikibooks, open books for an open ...
https://en.wikibooks.org/wiki/Control_Systems/System_Metrics
-Read/write robustness estimation metrics for spin transfer torque (STT ...
dl.acm.org/citation.cfm?id=2755855
-JACR - A Jitter Compensating PID Controller to Mitigate the ...
jacr.avestia.com/2014/003.html
Best regards
It totally depends upon your case study. In some cases, reaching to the desired level is sufficient by its own and the settling time is not that much important. In others the overshoot may be so. I think the best solution to this problem is defining a function which attributes some weight values to each of settling time, overshoot and steady state error and then evaluate your controller. So you may be sure that your system is observed all the important criteria simultaneously.
I think from my experience that using a sophisticated performance index will give a better performance at two level, first improving the time response (you should use ITAE).
finally, to save the energy injected by the controller to the controlled plant (you should use ISU)
for more details, you can read (see page 87)
https://thesai.org/Downloads/Volume7No12/Paper_11-Improved_Sliding_Mode_Nonlinear_Extended_State_Observer.pdf
Best regards
Try to read SIMPLE PID CONTROLLER ALGORITHM
in the paper at the following link
https://www.researchgate.net/publication/288834441_Simplified_intelligent_Universal_PID_Controller
Article Simplified intelligent Universal PID Controller
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