The transfer function of a system is given as
This system is (GATE-EE-2008)
A. an overdamped system
B. an underdamped system
C. a critically damped system
D. an unstable system
Explanatory answer:
Systems are classified according to their damping ratio( ζ ) vales,
If ζ < 1, underdamped system
if ζ = 1, critically damped system
if ζ > 1, overdamped system .
Comparing s^2+ 2ζwn +wn^2 with s^2+ 20s +100
wn^2=100, wn = 10
A. an overdamped system
B. an underdamped system
C. a critically damped system
D. an unstable system
Explanatory answer:
Systems are classified according to their damping ratio( ζ ) vales,
If ζ < 1, underdamped system
if ζ = 1, critically damped system
if ζ > 1, overdamped system .
Comparing s^2+ 2ζwn +wn^2 with s^2+ 20s +100
wn^2=100, wn = 10
2ζwn = 20, ζ = 20/20= 1
ζ=1, hence this system is a critically damped system.
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