A unit feedback control system has the following transfer function Gx. The system has the following specifications In = 4 rad / sec, ts, s 2 seconds, which are achieved with a cascade controller like the one indicated. Gx Gc K (s + 6) As + a) s(s +3)(s +5) (s + b) a) For the uncontrolled system, based on the response specifications, determine for the desired dominant poles. For this value of O, determine the value of K and the transient response parameters. b) Determine the values of A, a, and b such that the desired poles of the controlled system are truly dominant and the degree of the controlled system is 3. c) Determine the transient response parameters of the closed-loop system. d) Obtain the graph of the output and check the values of the transient response parameters, are they the same as those of subsection (e)? Why the difference if it exists? A unit feedback control system has the following transfer function Gx. The system has the following specifications In = 4 rad / sec, ts, s 2 seconds, which are achieved with a cascade controller like the one indicated. Gx Gc K (s + 6) As + a) s(s +3)(s +5) (s + b) a) For the uncontrolled system, based on the response specifications, determine for the desired dominant poles. For this value of O, determine the value of K and the transient response parameters. b) Determine the values of A, a, and b such that the desired poles of the controlled system are truly dominant and the degree of the controlled system is 3. c) Determine the transient response parameters of the closed-loop system. d) Obtain the graph of the output and check the values of the transient response parameters, are they the same as those of subsection (e)? Why the difference if it exists