How can I mimic a specific PID Tuner App scenario with a GUI-less MATLAB script?

Hi there,

Using MATLAB 2019a with the Control Toolbox on MacOS Mojave.

I am trying to write a Matlab script to mimic what the PID Tuner App does in the following scenario:

Ts = 0.001
big1d = c2d( tf(0.71,[2.5 1]), Ts)
pidTuner

My script must be non-interactive.

Using pidtune() I'm able to set the controller type (PIDF), the Controller Options (Integrator and Derivator formulae), and the Design Focus = balanced (through the pidtuneoptions).

opt = pidtuneOptions('DesignFocus','balanced');
C0 = pid(1,1,1,1, Ts, 'IFormula','BackwardEuler', 'DFormula','ForwardEuler'); % template PID controller
C = pidtune(big1d,'pidf',C0,opt) % I assume the PID Form is Parallel by default

How can I programmatically set or imitate the Response Time slider = 1.4 and the Transient Behavior Slider = 0.83?

Thank you!

Philippe Couvignou

Brain Corporation - R &D

[Philippe Couvignou]

I just found the answer by reading the Help more carefully.

From the PID Tuner App, we can find the phase margin = 83 deg and the zero-dB crossover frequency = 1.43 rad/s of the tuned open-loop response as shown below.

Then, the following commands will generate the same PID controller as the PID Tuner App.

opt = pidtuneOptions('PhaseMargin',83, 'DesignFocus','balanced')
wc = 1.43;  % zero-dB crossover frequency in rad/sec
pidtune(big1d, C0, wc, opt)

Answer 1

[Philippe Couvignou]

The answer is in the comment above.