The space shuttle carries large payloads into space and returns them to earth for reuse [19]. The shuttle uses elevons at the trailing edge of the wing and a brake on the tail to control the flight during entry. The block diagram of a pitch rate control system is shown in Figure P9.9(b). The sensor is represented by a gain. H(s) = 0.5, and the vehicle by the transfer function

The controller Gc(s) can be a gain or any suitable transfer function, (a) Sketch the Bode diagram of the system when Gc(s) - 2 and determine the stability margin, (b) Sketch the Bode diagram of the system when
Gc(J) = KP + K1/s and K1,/KP = 0.5.
The gain Kp should be selected so that the gain margin is 10 dB.

0.30 0.05)(s2 1600) G)0.05s 16(s 70)