Attached I have a picture of a 2 degree of freedom controller I have to come up with a transfer function for. Problem is, I'm not sure if I made the equations correctly (we were given only one very simple example).
I have:
Y(s)=E(s)*C1(s)+P(s)
E(s)=X(s)-C2(s)-P(s)*Y(s)-Y(s)
if those are even correct then I need to solve for Y(s)/X(s), which I am also having trouble with.
I'm stuck at:
Y(s)/X(s)=(1-C2(s)/X(s)+P(s)/(C1(s)*X(s)))/(1/C1(s)+P(s)+1)
with no way to eliminate the extra X(s)'s.
Any help would be appreciated.
I have:
Y(s)=E(s)*C1(s)+P(s)
E(s)=X(s)-C2(s)-P(s)*Y(s)-Y(s)
if those are even correct then I need to solve for Y(s)/X(s), which I am also having trouble with.
I'm stuck at:
Y(s)/X(s)=(1-C2(s)/X(s)+P(s)/(C1(s)*X(s)))/(1/C1(s)+P(s)+1)
with no way to eliminate the extra X(s)'s.
Any help would be appreciated.
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