An antenna control system was analyzed in Problem P4.5, and it was determined that, to reduce the effect of wind disturbances, the gain of the magnetic amplifier, ka, should be as large as possible.
(a) Determine the limiting value of gain for maintaining a stable system.
(b) We want to have a system settling time equal to 1.5 seconds. Using a shifted axis and the Routh-Hurwitz criterion, determine the value of the gain that satisfies this requirement. Assume that the complex roots of the closed-loop system dominate the transient response. (Is this a valid approximation in this case?)