R(s) C(s) G(s) H(s) K G(s) and H(s) = 1 s(s +2)² find two values of gain that will yield closed-loop, overdamped, second-order poles. Repeat for underdamped poles find the value of gain, K, that will make the system critically damped. find the value of gain, K, that will make the system marginally stable. Also, find the frequency of oscillation at that value of K that makes the system marginally stable.

R(s) C(s) G(s) H(s) K G(s) and H(s) = 1 s(s +2)² find two values of gain that will yield closed-loop, overdamped, second-order poles. Repeat for underdamped poles find the value of gain, K, that will make the system critically damped. find the value of gain, K, that will make the system marginally stable. Also, find the frequency of oscillation at that value of K that makes the system marginally stable.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

Question

Find the equivalent transfer function of the negative feedback system of figure below:
R(s)
C(s)
G(s)
H(s)
G(s)
K
and H(s) =1
s(s +2)?
find two values of gain that will yield closed-loop, overdamped, second-order poles.
Repeat for underdamped poles
find the value of gain, K, that will make the system critically damped.
find the value of gain, K, that will make the system
marginally stable. Also, find the frequency of oscillation at that value of K that
makes the system marginally stable.

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