Consider a unity feedback control system with an unstable plant,
\(G(s) = \frac{1}{10000(s^2 - 1.1772)}\)
Design a PD Controller G_c(s) = K_p + K_d*s using 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.