The feedback control system shown in Figure 4 is used to control the angular position of a satellite dish. The desired angle, Bref, is set using a rotary dial. Km, T, and K, are system parameters, constant and un-adjustable. Kp is the gain of the proportional controller (amplifier). Find the closed loop transfer function Find the steady state error if the desired angle is 3 degrees. Determine the effect of Kp. Replace the amplifier with a proportional-plus-integral (PI) controller and set Km = K = 1, t= 0.5 for parts c) and d). Determine the gains of the controller that result in double poles of -0.25 for the closed loop system. Use half of the Kp found for part c) and determine the new K; and double poles. Comment on the effect of Kp on the pole locations. Amplifier Motor and Mechanical Load Actual Satelite dish angle K Ω Ꮎ Desired Satellite dish angle Kp 1+ Ts S Ks Angle Sensor Figure 4 Feedback Control System for a satellite

Elements Of Electromagnetics
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The feedback control system shown in Figure 4 is used to control the angular
position of a satellite dish. The desired angle, Bref, is set using a rotary dial. Km, T, and K, are system
parameters, constant and un-adjustable. Kp is the gain of the proportional controller (amplifier).
Find the closed loop transfer function
Find the steady state error if the desired angle is 3 degrees. Determine the
effect of Kp.
Replace the amplifier with a proportional-plus-integral (PI) controller and set Km = K = 1, t=
0.5 for parts c) and d).
Determine the gains of the controller that result in double poles of -0.25 for the closed
loop system.
Use half of the Kp found for part c) and determine the new K; and double poles. Comment
on the effect of Kp on the pole locations.
Amplifier
Motor and
Mechanical Load
Actual
Satelite
dish angle
K
Ω
Ꮎ
Desired
Satellite dish
angle
Kp
1+ Ts
S
Ks
Angle Sensor
Figure 4 Feedback Control System for a satellite
Transcribed Image Text:The feedback control system shown in Figure 4 is used to control the angular position of a satellite dish. The desired angle, Bref, is set using a rotary dial. Km, T, and K, are system parameters, constant and un-adjustable. Kp is the gain of the proportional controller (amplifier). Find the closed loop transfer function Find the steady state error if the desired angle is 3 degrees. Determine the effect of Kp. Replace the amplifier with a proportional-plus-integral (PI) controller and set Km = K = 1, t= 0.5 for parts c) and d). Determine the gains of the controller that result in double poles of -0.25 for the closed loop system. Use half of the Kp found for part c) and determine the new K; and double poles. Comment on the effect of Kp on the pole locations. Amplifier Motor and Mechanical Load Actual Satelite dish angle K Ω Ꮎ Desired Satellite dish angle Kp 1+ Ts S Ks Angle Sensor Figure 4 Feedback Control System for a satellite
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