2. The block diagram of a pitch rate control system used, for example, on space shuttles, is shown in Figure 3. (a) Sketch the Bode plot of the system when Ge(s)

= 2 and determine the stability margin. (b) Suppose that Ge is a proportional-integral controller Ge(s) = Kp + K₁ with K₁/Kp = 0.5. Select a gain Kp so that the gain margin is 10 dB and sketch the Bode plot.