Great question Ayub. There is a tradeoff between performance and controller aggressiveness. That response wouldn't be good if the actuator could wear out from overuse such as a valve. Here is an example of improving PID performance with modeling and optimization:
https://youtu.be/0LiNb_MEXmQ
Moura Oliveira, P.B., Hedengren, J.D., Pires, E.J.S., Swarm-Based design of Proportional Integral and Derivative Controllers using a Compromise Cost Function: An Arduino Temperature Laboratory Case Study, Special Issue: Algorithms for PID Controller, Algorithms,
13(12), 315, DOI: 10.3390/a13120315, 2020.
Article
Taysom, S., Hedengren, J.D., Sorensen, C., A Comparison of Model Predictive Control and PID Temperature Control in Friction Stir Welding, Journal of Manufacturing Processes, 29, pp. 232-241, 2017, doi: 10.1016/j.jmapro.2017.07.015.
Article
Park, J., Patterson, C., Kelly, J., Hedengren, J.D., Closed-Loop PID Re-Tuning in a Digital Twin By Re-Playing Past Setpoint and Load Disturbance Data, AIChE Spring Meeting, New Orleans, LA, April 2019.
Abstract
Many other researchers and practitioners have come up with suggestions for tuning PID controllers. There are ITAE and IMC approaches in the control course:
https://apmonitor.com/pdc
John Hedengren
Associate Professor
Department of Chemical Engineering
Brigham Young University