3. In this problem, use the two closed loop systems given in the figure to answer the questions below. R(s) Y(s) R(s) Y(s) K, K, 0.09 0.09 0.0099 (a) Show that these two systems have the same transfer...

Extracted text: 3. In this problem, use the two closed loop systems given in the figure to answer the questions below. R(s) Y(s) R(s) Y(s) K, K, 0.09 0.09 0.0099 (a) Show that these two systems have the same transfer function for K1 = K2 = 100 (b) Using the definition of sensitivity, S(s), for each system calculate the sensitivity to the parameter K1 with K1 and K2 as variables. Recall: aGa G aG Ga S(s) (e) Substitute K1 = K2 = 100 into cach S(s) and compare the sensitivities to parameter K1.