Hello,

I have a transfer function Y(s)/X(s) = G/(1+GH) H = 0.5,G not given and a step input going into the system and want to see the steady state output when G goes to infinity. Is this the proper way of doing it?

Y(s) = (1/s)*(infinity/(1+infinity*0.5))
= (1/s)*(infinity/infinity)
= 1/s

Thanks.

 

Y(s)=(1/s)(1/H)

 

Hello,

I have a transfer function Y(s)/X(s) = G/(1+GH) H = 0.5,G not given and a step input going into the system and want to see the steady state output when G goes to infinity. Is this the proper way of doing it?

Y(s) = (1/s)*(infinity/(1+infinity*0.5))
= (1/s)*(infinity/infinity)
= 1/s

Thanks.

That's not the correct approach. First divide the generic TF [Y(s)/X(s) = G/(1+GH)] top & bottom (i.e. numerator & denominator) by G first, then allow G to tend to infinity.