How to design PI controllers within Maltab?

Answer 1

[Sam Chak]

Hi @Kyle Ramphal

If the result from the PID Tuner app can be admitted as the design solution, then just do so to directly obtain and .

https://www.mathworks.com/help/slcontrol/ug/designing-controllers-with-the-pid-tuner.html

Otherwise, you may have to design the PI controller manually, by finding the Characteristic Equation.

For example, since the PI controller is given by , can you compute the Closed-loop system for us to see?

%% Simulation

s = tf('s');

Gp = 1/(0.52*s + 1)

Gc = 131/25 + (468/25)/s

Gcl = feedback(Gp*Gc, 1);

Gcl = minreal(Gcl)

figure(1)

step(Gcl, 3) % step response for 3 seconds

figure(2)

rlocus(Gcl) % root locus to evaluate the stability

Results:

[Kyle Ramphal]

Thank you for your response and yes the result from the PID tuner can be addmitted.