Problem 3) 1. If G(s) (s-1)/(s-10) (same Block Diagram as Problem 1), suggest a compensator K(s) which stabilizes the system. Consider that the zero at 1 and the pole at 10 are only approximate values. The real values are unknown. Show that your compensator works using root locus. 2. From a frequency response experiment on an unknown plant, the Bode diagram in the figure below is obtained where the frequency was swept from O to very high values. See diagram (Figure below) where co is the frequency. By observing the amplitude plot in Figure, determine the transfer function of the unknown open-loop system. Assume that the system has no poles or zeros on the right-hand side. Is the closed-loop system stable? Justify your answer. R(s) 2Dec Dec 1 Log | KG (i)|| 1Dec Dec +90 -180 -270 0 Logw 2Dec Dec 3Dec Dec Logw 2 C(s) K(s) G(s)