Root locus, how to find natural frequency?

Thread Starter

woodmark75

Joined Dec 11, 2014
36
I have a system for 'pitch control', I have to estimate the rise time, settling time , peak time etc at 20% overshoot. I'm using the trig relationships below:
  • https://app.box.com/s/ler2mje0d7711b46v0ov
  • I've found damping ratio (Zeta) & the angle of nayural frequency (Theta).
  • I need to find the length of the hypotenuse which equates to natural frequency (Omega).
  • Obviously I need the length of either the 'adjacent' or 'opposite', how do I find the value for these?
 
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