Answered: Q.3. a-) Consider the control system… | bartleby

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Q.3.
a-) Consider the control system given below. Find the value of the parameter K if it is known that
the closed loop system is critically damped.
G(s)
R(s)
C(s)
K
s+ K
1
H(s)
b-) Find the range of values for K for which the system is underdamped and overdamped?
c-) What is the parameter K if it is known that the step response of the closed loop system displays
damped oscillations of frequency 1rad/sec.

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Please explain why beta = 3omega is an example of a critically damping motion for a damped harmonic oscillator?