Most PID tuning rules are based on first-order plus time delay assumption of the plant hence cannot ensure the best control performance. Using mordern optimization techniques, it is possible to tune a PID controller based on the actual transfer function of the plant to optimize the closed-loop performance.
This submission contains a function to perform optimal PID design based on four different performance indices, e.g. the ISE, the IAE, the ITSE and the ITAE. A published m-file provides two 4th-order examples to explain the usage and to show impact of using different performance indices.
The example file requires the znpidtuning function, which can be downloaded from http://www.mathworks.com/matlabcentral/fileexchange/loadFile.do?objectId=18561&objectType=FILE
Yi Cao (2022). Learning PID Tuning III: Performance Index Optimization (https://www.mathworks.com/matlabcentral/fileexchange/18674-learning-pid-tuning-iii-performance-index-optimization), MATLAB Central File Exchange. Retrieved .
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