Problem 5: Consider the following LTI system: r(t) y(1) D(s) G(s) where D(s) = K1 +2, G(s) = - and K1, K2 + 0. (a) Show that the transfer function of the feedback system (that is, from r(t) to y(?))...

Help me please

Extracted text: Problem 5: Consider the following LTI system: r(t) y(1) D(s) G(s) where D(s) = K1 +2, G(s) = - and K1, K2 + 0. (a) Show that the transfer function of the feedback system (that is, from r(t) to y(?)) is: K1s + K2 s2 + (K1 – 1)s + K2' T(s) = (b) Assume that K1 and K2 have been selected such that the system is asymptotically stable but the values are unknown. And assume that the input is r(t) = u(t). Show that the final value of the output y(f) is always equal to 1 regardless of the values of K1 and K2. (c) Now, assume that the parameters are selected as K1 = -3, K2 = . Calculate the zero-state response of the system to input r(1) = u(1) and the final value of the response (d) Compare your results of (b) and (c) and comment on any common or differences between them.