homework 08d block diagrams problem 1: problem 2: + - + -
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HOMEWORK 08D
Block diagrams
Problem 1:
Problem 2:
5s1s2
10s2s
12
)t(u )t(v
s02.01 )25s(s
K2
sK t+-+-
)s(C)s(R
Problem 1:
In the system shown in the figure, u(t) is the input, v(t) is the response. For a step input with amplitude of -3, a) write the form of the response by determining the steady state value. b) Partial fraction expansion of V(s) is given below, find v(t).
s
06.0
)i31(s
i1340.01380.0
)i31(s
i1340.01380.0
)5s(
216.0)s(V
06.0)t3cos(eaea)t(v 2t
2t5
1 a)
06.0)7707.0t3cos(e3847.0e216.0)t(v tt5 b)
Click for answer.
5s1s2
10s2s
12
)t(u )t(v
Problem 2:
Block diagram of a closed loop system is given below. Find the transfer function of the closed loop system . K and Kt are constants.
KKs)K02.0(s25s
)1s02.0(K)s(H
t23
s02.01 )25s(s
K2
sK t
+-
+-
)s(C)s(R
Click for answer.
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