For the unity negative feedback system g(s) = k(s+6)/ (s + 1)(s + 2)(s + 5) it's known that the system is operating with a dominant-pole damping ratio of 0.5. design a pd controller so that the settling time is reduced by a factor of 3, compared with the uncompensated unity negative feedback system. compare the percentage overshoot and resonant frequencies of the uncompensated and compensated systems.