CHALLENGE You are now given a problem to test your knowledge of this chapter's objectives: Referring to the antenna azimuth position control system shown in Appendix A2, Configuration 2, do the following: a. Find the closed-loop transfer function using block diagram reduction. b. State Space SS Represent each subsystem with a signal-flow graph and find the state-space representation of the closed-loop system from the signal-flow graph. c. Use the signal-flow graph found in (b) along with Mason's rule to find the closed- loop transfer function. d. Replace the power amplifier with a transfer function of unity and evaluate the closed-loop percent overshoot, settling time, and peak time for K = 5. e. For the system used for (d), derive the expression for the closed-loop step response. f. For the simplified model in (d), find the value of preamplifier gain, K, to yield 15% overshoot. CONFIGURATION 2: HAS THE FOLLOWING VALUES Vp(s) 150 S+ 150 0.16 5(5+1.32) Power amp Motor and load 1,00 Ea(s) (s+100) 0.2083 s(s+1.71) (a) 0,(s) Vp(s) 20.83 (s+100 (s+1.71) wo(s) (b) Convert to angular velocity 31.245 (5+150) (5+1.32) S wo(s)

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CHALLENGE
You are now given a problem to test your knowledge of this chapter's objectives:
Referring to the antenna azimuth position control system shown in Appendix A2,
Configuration 2, do the following:
a. Find the closed-loop transfer function using block diagram reduction.
b.
State Space
SS
Represent each subsystem with a signal-flow graph and find the state-space
representation of the closed-loop system from the signal-flow graph.
c. Use the signal-flow graph found in (b) along with Mason's rule to find the closed-
loop transfer function.
d. Replace the power amplifier with a transfer function of unity and evaluate the
closed-loop percent overshoot, settling time, and peak time for K = 5.
e. For the system used for (d), derive the expression for the closed-loop step response.
f. For the simplified model in (d), find the value of preamplifier gain, K, to yield 15%
overshoot.
Transcribed Image Text:CHALLENGE You are now given a problem to test your knowledge of this chapter's objectives: Referring to the antenna azimuth position control system shown in Appendix A2, Configuration 2, do the following: a. Find the closed-loop transfer function using block diagram reduction. b. State Space SS Represent each subsystem with a signal-flow graph and find the state-space representation of the closed-loop system from the signal-flow graph. c. Use the signal-flow graph found in (b) along with Mason's rule to find the closed- loop transfer function. d. Replace the power amplifier with a transfer function of unity and evaluate the closed-loop percent overshoot, settling time, and peak time for K = 5. e. For the system used for (d), derive the expression for the closed-loop step response. f. For the simplified model in (d), find the value of preamplifier gain, K, to yield 15% overshoot.
CONFIGURATION
2:
HAS THE FOLLOWING VALUES
Vp(s)
150
S+ 150
0.16
5(5+1.32)
Power amp
Motor and load
1,00
Ea(s)
(s+100)
0.2083
s(s+1.71)
(a)
0,(s)
Vp(s)
20.83
(s+100 (s+1.71)
wo(s)
(b)
Convert to
angular velocity
31.245
(5+150) (5+1.32)
S
wo(s)
Transcribed Image Text:CONFIGURATION 2: HAS THE FOLLOWING VALUES Vp(s) 150 S+ 150 0.16 5(5+1.32) Power amp Motor and load 1,00 Ea(s) (s+100) 0.2083 s(s+1.71) (a) 0,(s) Vp(s) 20.83 (s+100 (s+1.71) wo(s) (b) Convert to angular velocity 31.245 (5+150) (5+1.32) S wo(s)
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