Answer Happy

Problem 1 [10 marks] All your answers to the following questions should be justified and computation steps provided. 1. From the block diagram shown in Figure 1, derive the transfer function relating the disturbance input d to the output y. [5 Marks] d у C(s) G1(s) G2(s) Figure 1 2. For which values of k, if they exist, does the characteristic equation of the feed- back loop shown in Figure 2 have complex roots? [2 marks] 3. Does the root-locus of the feedback loop shown in Figure 2 contain the points $= 0 and s = -2. [3 Marks] k s+0.2 -у Figure 2