Natural frequency second order transfer function

Discussion in 'Homework Help' started by Ande, Nov 9, 2018.

  1. Ande

    Thread Starter Member

    Feb 3, 2017
    I have been attempting to solve the problem attached (question 1). I am however stuck on getting an expression for the natural frequency. Please help in this regard. My attempt is also attached.
  2. drc_567

    AAC Fanatic!

    Dec 29, 2008
    ... something is not quite right with your fractional multiplication. Try multiplying numerator and denominator by the s(s+1) factor.
    ... You are given the percent overshoot. You can find a formula for \zeta, given PO ... ought to be in the text.
  3. MrAl

    AAC Fanatic!

    Jun 17, 2014

    I agree with the previous post in that your math is not correct when calculating Gs/(1+Gs*Hs).
    Try that again and if successful you will see the right constant in the denominator which represents w^2.

    Also, the diagram was extremely hard to read. Here is a better diagram.
    bertus likes this.