Why does the denominator of TF change in MATLAB when multiplying by proportional gain?

1 vue (au cours des 30 derniers jours)

Joe le 24 Oct 2014

Hi everybody, Trying to simulate a unity feedback closed loop system with gain of K

Let's say I want a system:

 K = 5 ;
s = tf('s');
G = 10/(s^2+2*s+1);
sysCL = feedback(K*G,1);

The script returns:

sysCL =
          50
    --------------
    s^2 + 2 s + 51

Am I missing something here? I thought K*G the denominator would be (s^2 + 2*s +1). I'm just starting out in my design controls systems course.

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