UFSS Vehicle: Transient Design via Gain In this case study, we apply the root locus to the UFSS vehicle pitch control loop. The pitch control loop is shown with both rate and position feedback on the back endpapers. In the example that follows, we plot the root locus without the rate feedback and then with the rate feedback. We will see the stabilizing effect that rate feedback has upon the system.
PROBLEM: Consider the block diagram of the pitch control loop for the UFSS vehicle shown on the back endpapers (Johnson, 1980).
a. If K_{2}=0 (no rate feedback), plot the root locus for the system as a function of pitch gain, K_{1} and estimate the settling time and peak time of the closed-loop response with 20% overshoot.
b. Let K_{2}=K_{1} (add rate feedback) and repeat a.