Learning PID Tuning III: Performance Index Optimization

A tool and tutorial to perform optimal PID tuning

Description

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

Acknowledgements

The author wishes to acknowledge the following in the creation of this submission:
Learning PID Tuning I: Process Reaction Curve, Learning PID Tuning II: Stability Margin

• Required Products: Control System Toolbox; Optimization Toolbox
• MATLAB release: MATLAB 7.5 (R2007b)

[AKIN YILMAZ]

 

[V. Poor]

 

[Arkadiy Turevskiy]

Thanks for an interesting submission. If you are interested in designing and tuning PID controllers in MATLAB and Simulink, please take a look at new PID tuning capabilities shipped in Simulink Control Design in R2009b:
http://www.mathworks.com/products/simcontrol/

There is also a webinar on the subject:
http://www.mathworks.com/company/events/webinars/wbnr38619.html?id=38619&p1=636028070&p2=636028082

and MATLAB Digest article:
http://www.mathworks.com/matlabcentral/fileexchange/22150-pid-controller-matlab-code