Automatic Control

Thread Starter

Cheddarost

Joined Nov 5, 2011
1
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!
 

steveb

Joined Jul 3, 2008
2,436
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!
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.
 
Top