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?

Respuesta :

Answer:

Transfer function for feedback path is given by:

[tex]\frac{C(s)}{R(s)}[/tex]=[tex]\frac{G(s)}{1+G(s)H(s)}[/tex]       (1)

Explanation:

with reference to fig1:

two blocks in series are multiplied:

[tex]\frac{5}{s(s+1)}[/tex]

for feedback function:

1+G(s)H(s)=[tex]1+\frac{5}{s+1}.\frac{2}{s}[/tex]

Now from eqn (1):

[tex]\frac{C(s)}{R(s)} = \frac{5}{s(s+1)+10}[/tex]

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