Abstract
The Proportional–Integral–Derivative (PID) tuning problem stated in Chap. 4 is solved using the Enhanced Normalized Normal Constraint methodology presented in Chap. 5. The problem is solved using a MATLAB script that can be found in the appendix of this chapter and also downloaded as a companion software. The result of this script is a set of files that define 2200 Pareto fronts with the optimal solutions of the problem of finding the tuning of Two Degree of Freedom Proportional–Integral–Derivative controller for soptd plant families. Then, two possible approaches are presented to interpret these results: first an attempt to find a tuning rule based on these data is presented. This approach was found to be very difficult to apply given the complexity of the data. The second approach is to use the data as a database and create a Graphical User Interface (GUI) to serve as the bridge between the user and the results. This GUI was encapsulated as a MATLAB app and is also included as the companion software for this book.
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Notes
- 1.
The function fmincon of the MATLAB optimization toolbox was applied.
- 2.
The tool was created using MATLAB 2020a, earlier versions may not work as expected.
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Rojas, J.D., Arrieta, O., Vilanova, R. (2021). PID Tuning as a Multiobjective Optimization Problem. In: Industrial PID Controller Tuning. Advances in Industrial Control. Springer, Cham. https://doi.org/10.1007/978-3-030-72311-8_7
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