Finding the damping ratio (zeta) of an nth order system from a transfer function

  1. I am having trouble with some of my homework. I am not quite sure how to find the damping ratio from a third order system when the transfer function (of s) is the only information supplied. Could anyone help me with this? I would like a method that would work with any nth order system, although my current problem is third order.

    Also, I must find the damping ratio WITHOUT using differential equations to convert the transfer function to a function of time.

    Here is a transfer function that may be used as an example:

    s/2 + 1
    -------------------------
    (s/40+1)[(s/4)^2+s/4+1]

    Thanks to anyone who is willing to contribute!
     
    Last edited: Sep 7, 2011
  2. jcsd
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