i have a feed-forward tf
G(s) = K(s+2) / s(s+8)(s+1+3j)(s+1-3j)
Poles: 0,-8,-1+j,-1-j (four fintite)
zeros: -2 (Three @ infinity)
Asymptotes:
(-8-1+3j-1-3j)-(-2) / (4-1) = -8/3 = -2.6667
(2k+1)Pi / 4-1 = (Pi/3)(2k+1)
k=0, (Pi/3);
K=1, (Pi);
k=2, (5/3)Pi;
Break In/Away points:
CLTF: K(s+2)/s(s+8)(s+1+3j)(s+1-3j)+k(s+2)=-1
then do i solve for k and take the derivative wrt to s?
jw-axis crossing do i use the denominator from CLTF
s(s+8)(s+1+3j)(s+1-3j)+k(s+2)
and do Routh Hurwitz and manipulate till get row a zero's and figure out what values of k the system is stable and use above row to figure out where it crosses the jw axis?
Any help would be appreciated, been a while and dont remember dealing with imaginaries in the denominator of a feed-forward-loop.
Thanks,
G(s) = K(s+2) / s(s+8)(s+1+3j)(s+1-3j)
Poles: 0,-8,-1+j,-1-j (four fintite)
zeros: -2 (Three @ infinity)
Asymptotes:
(-8-1+3j-1-3j)-(-2) / (4-1) = -8/3 = -2.6667
(2k+1)Pi / 4-1 = (Pi/3)(2k+1)
k=0, (Pi/3);
K=1, (Pi);
k=2, (5/3)Pi;
Break In/Away points:
CLTF: K(s+2)/s(s+8)(s+1+3j)(s+1-3j)+k(s+2)=-1
then do i solve for k and take the derivative wrt to s?
jw-axis crossing do i use the denominator from CLTF
s(s+8)(s+1+3j)(s+1-3j)+k(s+2)
and do Routh Hurwitz and manipulate till get row a zero's and figure out what values of k the system is stable and use above row to figure out where it crosses the jw axis?
Any help would be appreciated, been a while and dont remember dealing with imaginaries in the denominator of a feed-forward-loop.
Thanks,