How do you find the damping ratio of this feedback system?

[Mathew Kurian]

Consider this open loop gain in a unity feedback system:

.......G(s) = 10000
.............------------
..............s(s + 100)

with the step input of `10u(t)`

How do you find the damping ratio for this transfer function?

 

[dillikumar406]

sqrt(5/2). no need of input response because

c(s)/r(s) = g(s)/(1+g(s)h(s))

 

[rajkumar@carc]

use the formula c(s)/r(s) given by dillikumar406.
in that take h(s)=1
=>compared c(S)/r(s) with standard second order equation.
=>damping ratio is 0.5