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Question: Transfer Fuction from Experimental Data (System Identification)

Question:Transfer Fuction from Experimental Data (System Identification)

ThU 891
discrete
June 10 2012
0

Let's say we have the response of a discrete system  to a unit step, the measured data is available as a vector in Maple. As example: seq(evalf[2](exp(-n/5)*sin(n)),n=0..20);

How can I find the coefficients of the transfer function G(z)=(a1*z+a2)/(b1*z^2+b2*z+b3)?

Here is a paper that describes on page 27ff how to do this with regression.
http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.136.373&rep=rep1&type=pdf

Maybe there is a better way.

 

Thanks for ideas.

 

 
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