A block diagram of the yaw acceleration control system for a bank-to-turn missile is shown. The input is yaw acceleration command (in g's), and the output is missile yaw acceleration (in g's). The controller is specified to be a proportional, integral (PI) controller. The nominal value of b0 is 0.5.
(a) Using the margin function, compute the phase margin, gain margin, and system crossover frequency (0 dB), assuming the nominal value of b().
(b) Using the gain margin from part (a), determine the maximum value of 60 for a stable system. Verify your answer with a Routh-Hurwitz analysis of the characteristic equation.