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