The transfer function of a system is given as 100 s2 +

The transfer function of a system is given as 100
s² + 20s + 100

This system is

1. an overdamped system
2. an underdamped system
3. a critically damped system
4. an unstable system

M(s) =	100
	s² + 20s + 100

Comparing with standard form,

M(s) =	ω²_n
	s² + 2ξω_ns + ω²_n

we get 2ξω_n = 20

&rArrr; ξ =	20	= 1
	2 × 10

and ω²_n = 100
&rArrr; ω_n = 10
For ξ = 1, system is critically damped.