- #1
Jacer2
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Homework Statement
[/B]
I am trying to answer two questions:
1. Solve part (b) in the image above by hand.
2. What are the differences between transfer function (a) and transfer function (b).
Homework Equations
cos(Im(s) / Re(s)) = ζ
The Attempt at a Solution
1. For part one given the damp I know that cos-1(ζ) = 45. Thus the magnitude of the real and imaginary parts of the root has to be the same. However I can't seem to think of a way to do this by hand. I can plot the root locus in Matlab.
Once I find the root locus I know I can find K by using:
[tex]K = \frac{|denominator \quad of \quad tf|}{|numerator \quad of \quad tf|} [/tex]2. The transfer functions are [tex]K = \frac{KGH}{1+KGH} [/tex] and [tex]K = \frac{KG}{1+KGH} [/tex] . Besides a different output response would the root locus and bode plots of the both transfer functions be the same?