Question

A closed-loop system has a forward path having two series elements with transfer functions 5 and 1/(s + 1). If the feedback path has a transfer function 2/s, what is the overall transfer function of the system?

Answer 1

Transfer function for feedback path is given by:

`(C(s))/(R(s))`=
`(G(s))/(1+G(s)H(s))` (1)

Step-by-step explanation:

with reference to fig1:

two blocks in series are multiplied:

`(5)/(s(s+1))`

for feedback function:

1+G(s)H(s)=
`1+(5)/(s+1).(2)/(s)`

Now from eqn (1):

`(C(s))/(R(s)) = (5)/(s(s+1)+10)`