Plotting RLocus With K variable of Closed Loop System

I'm trying to simulate a system that meets several requirements. The system is;

T(s) = (1000Kc)/ s*(s^2+110s+1250)+1000Kc

and the requirements are;

1. Overshoot of less than or equal to 10%
2. Settling time of less than or equal to 0.1s (100ms)
3. Eramp of less than or equal to 0.001

I intially used the code below to plot the rlocus plot, and it matches my hand calculated results. However, it doesnt allow me to satisfy the requirements of OS less than 10% for example. How do I augment the rlocus plot and closed-loop poles to satisfy these requirements.

den = [1 110 1250 10000]
num = [1000]

k = logspace(-5, 5, 1000);

rlocus(num,den,k)

Answer 1

[Nikhil Sonavane]

In order to simulate a system that meets your requirement, I would suggest you to leverage Control System Designer App. You can get its further details in this link as well.