Commanded elevator Elevator Elevator deflection actuator deflection Pitch Vehicle command Pitch gain dynamics Pitch 2 8,(s) -0.125(s+0.435) -K, s+2 (s+1.23)(s²+0.226s+0,0169) Pitch rate sensor -K,8 FIGURE Pitch control loop for the UFSS vehicle a. Using only the second-order poles shown in the transfer function, predict

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Commanded
Pitch
elevator Elevator Elevator
Vehicle
command
Pitch gain
deflection actuator deflection
dynamics
Pitch
0,(8)
2
8,(s)
-0.125(s+0.435)
-K,
s+2
(s+1.23)(s²+0.226s+0.0169)
Pitch rate
sensor
-K,s
FIGURE
Pitch control loop for the UFSS vehicle
a. Using only the second-order poles shown in the transfer function, predict
percent overshoot, rise time, peak time, and settling time.
b. Using Laplace transforms, find the analytical expression for the response of the
pitch angle to a step input in elevator surface deflection.
c. Evaluate the effect of the additional pole and zero on the validity of the second-
order approximation.
d. Plot the step response of the vehicle dynamics and verify your conclusions found
in (c).
Transcribed Image Text:Commanded Pitch elevator Elevator Elevator Vehicle command Pitch gain deflection actuator deflection dynamics Pitch 0,(8) 2 8,(s) -0.125(s+0.435) -K, s+2 (s+1.23)(s²+0.226s+0.0169) Pitch rate sensor -K,s FIGURE Pitch control loop for the UFSS vehicle a. Using only the second-order poles shown in the transfer function, predict percent overshoot, rise time, peak time, and settling time. b. Using Laplace transforms, find the analytical expression for the response of the pitch angle to a step input in elevator surface deflection. c. Evaluate the effect of the additional pole and zero on the validity of the second- order approximation. d. Plot the step response of the vehicle dynamics and verify your conclusions found in (c).
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