A satellite single-axis amplitude control system can be represented by the block diagram is as shown in Figure 2.11. The variable k, a and b are controller parameters, andj is the spacecraft moment of inertia. Suppose the moment of inertia is J=7.8E+08 (slug-ft), and the controller parameters are k=10.8E+08, a=1.5 and b=8. Spacecraft Rotational R(s) Controller motion C(s) k(s + a) (s + b) js? Figure 2.11 A negative feedback control system a) Develop an m-file script to compute the closed loop transfer function. b) Compute and plot the step response to a 10° step input. c) The exact moment of inertia is generally unknown and any change slowly with time. Compare the step response performance of the spacecraft when J is reduced by 25% and 60%.

Understanding Motor Controls
4th Edition
ISBN:9781337798686
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter54: The Operational Amplifier
Section: Chapter Questions
Problem 7RQ: Name two effects of negative feedback.
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A satellite single-axis amplitude control system can be represented by the block diagram is
as shown in Figure 2.11. The variable k, a and b are controller parameters, andj is the
spacecraft moment of inertia. Suppose the moment of inertia is J=7.8E+08 (slug-ft), and the
controller parameters are k=10.8E+08, a=1.5 and b=8.
Spacecraft
Rotational
R(s)
Controller
motion
C(s)
k(s + a)
(s + b)
js?
Figure 2.11 A negative feedback control system
a) Develop an m-file script to compute the closed loop transfer function.
b) Compute and plot the step response to a 10° step input.
c) The exact moment of inertia is generally unknown and any change slowly with time.
Compare the step response performance of the spacecraft when J is reduced by 25%
and 60%.
Transcribed Image Text:A satellite single-axis amplitude control system can be represented by the block diagram is as shown in Figure 2.11. The variable k, a and b are controller parameters, andj is the spacecraft moment of inertia. Suppose the moment of inertia is J=7.8E+08 (slug-ft), and the controller parameters are k=10.8E+08, a=1.5 and b=8. Spacecraft Rotational R(s) Controller motion C(s) k(s + a) (s + b) js? Figure 2.11 A negative feedback control system a) Develop an m-file script to compute the closed loop transfer function. b) Compute and plot the step response to a 10° step input. c) The exact moment of inertia is generally unknown and any change slowly with time. Compare the step response performance of the spacecraft when J is reduced by 25% and 60%.
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