s+1
s+4
Exercise 1: Given the following transfer function G(s) = \frac{s+1}{s^2+2s+3}, H(s) = \frac{s+4}{s+5}, enter the
transfer functions into the following block diagrams, first calculate the transfer function of whole
system by hand, then use MATLAB to find the transfer function.
(a)
(b)
G(s)
Y(s)
X(s)
+
Y(s)
X(s)
G(s)
H(s)
\Sigma
H(s)
(c)
(d)
X(s)+
Y(s)
X(s) +
Y(s)
\Sigma
G(s)
\Sigma
H(s)
H(s)
G(s)
Exercise 2: Use the results from Exercise 1,
(a) Test your TF functions (1(a) and 1(b) are Open Loop system, 1(c) and 1(d) are Closed Loop
system) using the impulse and step responses.
(b)Explain your results obtain above in terms of percent overshoot, settling time, natural frequency
and damping ratio. Is there any difference between Open Loop (OL) and Closed Loop (CL)?
(c) Explain. What happens to the poles and Zeros of OL and CL.
