Is there anyone who knows how to do this? This is part of a homework assignment

Question

Is there anyone who knows how to do this? This is part of a homework assignment that I am working on for my Control Systems course and I really help! This problem has to be completed using only MATLAB. Here's how it works:

Consider a unity feedback control system with an unstable plant,

(G(s) = rac{1}{10000(s^2 - 1.1772)})   

In MATLAB, design a PD controller G_c(s) = K_p + K_d*susing the root-locus method such that the closed-loop system has a damping ratio, zeta = 0.7 and a natural frequency, omega_n = 0.5 rad/sec.

Explanation / Answer

Kp=500;

Kd=10;

numc=[Kd Kp];

[numCL, denCL]=cloop(conv(num,numc),den);

step(numCL, denCL,t)

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