I guess I finally did it.
my characteristic equation is (s+2)(s+5)(s+K) + 10K = 0.
we expand to s³ + 7s² + 10s + Ks² 7Ks + 20K = 0
the C.E. must be written as 1 + K*F(s) = 0, then
s³ + 7s² + 10s + K(s² + 7s + 20) = 0
1 + K(s² + 7s + 20)/( s³ + 7s² + 10s) = 0
this is...
yeah, that's what I'm doing... the problem is: K is not a constant. to use the root locus drawing rules the characteristic equation of the closed loop system must be written as 1 + GH = 0. All that I got in this case is
(s+2)(s+5)(s+K) + 10K = 0.
Hello guys, I need help to sketch the root locus of the system when K is varying from 0 to infinity. (K>=0)
The system:
http://www.freeimagehosting.net/newuploads/anspe.jpg
I'm stuck. I really don't know how proceed.
Thanks in advance.
hello sundaram...
you did right... let me call the current that is flowing through the inductor iL = x1
using kirchhoff voltage law you got
x1' = u/L - (R/L)*X1
to "control" your current you just need to use y = x1
in MATLAB you can use
A = [-R/L]
B = [u/L]
C = [1]
D = 0
sys...