The space shuttle shown in figure p99 a carries large

Question

The space shuttle, shown in Figure P9.9 (a), 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 G_c(s) can be a gain or any suitable transfer function, (a) Sketch the Bode diagram of the system when G_c(s) - 2 and determine the stability margin, (b) Sketch the Bode diagram of the system when

The gain K_p should be selected so that the gain margin is 10 dB.