In an optimization problem (say for finding the optimal PID controller gains) usually it is observed that there exists upper and lower limits set for the gains so that the optimal solution could be reached quickly. Is there any systematic (scientific) approach for setting these limits on the controller gains ? Or, is it done through trial and error?
Dear Ashik,
I suggest to you links and attached files in topics.
-Introduction to the Mathematical Theory of Systems and Control
wwwhome.math.utwente.nl/~poldermanjw/onderwijs/DISC/mathmod/book.pdf
-Optimal Control - ANU CECS
users.cecs.anu.edu.au/~john/papers/BOOK/B03.PDFLimitations and Countermeasures of PID
-Controllers - Industrial ...
cdn-pubs.acs.org/doi/full/10.1021/ie960090+
-Patent US5442544 - Single input single output rate optimal controller ...
www.google.si/patents/US5442544
-The Optimization of Variable Blank Holder Force ... - ASME Proceedings
proceedings.asmedigitalcollection.asme.org/pdfaccess.ashx?...
Best regards
Dear Ashik
My suggestion is:
1- Draw the root locus of the system supposing that the controller is just a proportional controller, Kp.
2- Find out the ultimate gain, Ku, at the point of intersection between the root locus and the imaginary axis.
3- Take this value, or slightly lower than it, as the upper limits of the gains.
Best wishes and regards
Dear Mohamed-Mourad Lafifi,
Thanks a lot for your comments. However, my actual concern is on the selection process of the parameter range. For example, in the paper titled 'A new multiobjective performance criterion used in PID tuning optimization algorithms' there is a table (Table 1 , page - 130) mentioning the searching range of parameters (which is attached here for your convenience). How are the authors selecting this range?
- Badges
- Science topic
- Similar topics
- Engineering
- Control Theory
- Control Systems
- Control Systems Engineering