Given the unity feedback system shown in Figure P8.3 where do the

Given the unity feedback system shown in Figure P8.3 where do the following:

a. If z = 2, find K so that the damped frequency of oscillation of the transient response is 5 rad/s.

b. For the system of Part a, what static error constant (finite) can be specified? What is its value?

c. The system is to be redesigned by changing the values of z and K. If the new specifications are %OS = 4.32% and T_s = 0.8 s, find the new values of z and K.