3. Consider the following feedback system: r(t) y(t) 1 s3+ s2 + 2s +1 (a) Find the entire range of K so that the closed-loop system (i.e., between r(t) and y(t)) is stable. (b) If the step reference input r(t) is given to the system, will y(t) perfectly track the step reference r(t) with zero steady-state error? Why or Why not? Justify your answer.
3. Consider the following feedback system: r(t) y(t) 1 s3+ s2 + 2s +1 (a) Find the entire range of K so that the closed-loop system (i.e., between r(t) and y(t)) is stable. (b) If the step reference input r(t) is given to the system, will y(t) perfectly track the step reference r(t) with zero steady-state error? Why or Why not? Justify your answer.
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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Transcribed Image Text:UIU ranster function of the system.
3. Consider the following feedback system:
r(t)
K
1
y(t)
g3 + s2 + 2s+1
(a) Find the entire range of K so that the closed-loop system (i.e., between r(t) and y(t)) is stable.
(b) If the step reference input r(t) is given to the system, will y(t) perfectly track the step reference r(t) with
zero steady-state error? Why or Why not? Justify your answer.
4. You are asked to design a 2nd order stable system having the following property: (1) its step response has
overshoot less than or equal to 10% of the input magnitude and (2) the 2% settling time of the step response
is less than or equal to 1 second. What are the locations of the poles of such a system?
1
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