Automatic Control

Discussion in 'Math' started by Cheddarost, Nov 5, 2011.

  1. Cheddarost

    Thread Starter New Member

    Nov 5, 2011
    1
    0
    Hi!
    Ive just started studying automatic control and i wonder how i transfrom from the continous time to discrete time? Say that i hav G(s) = 1/(2^s), how do i get H(z)= h^2(z+1)/(2*((z-1)^2)) ?

    Thanks!
     
  2. steveb

    Senior Member

    Jul 3, 2008
    2,433
    469
    There are a few ways, but the most typical is the bilinear transform, also called the Tustin Method.

    http://en.wikipedia.org/wiki/Bilinear_transform

    This is directly analogous to using the trapezoidal rule for integration.
     
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