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System Control Query

  1. Nov 7, 2009 #1
    Dear PF Friends,

    Given the system to be controlled.
    I'm stuck in finding the inverse laplace (to find y(t) from Y(S)) - any advice?
     

    Attached Files:

  2. jcsd
  3. Nov 17, 2009 #2
    Must forgive me if it not correct. I'm trying

    [tex]Y(s)=\frac{1}{s} ( \frac{k}{s(s+1)+k}) = \frac{1}{s} ( \frac{k}{(s+1/2)^2+ (k-1/4)})[/tex]

    Invert
    [tex]y(t)=\frac{k}{\sqrt{k-1/4}} \int_0^t e^{-t/2} \sin{(\sqrt{k-1/4})t } dt[/tex]
     
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