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)
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)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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