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Problem #2 (25 points): Obtain the transfer function H(s) = Y(s)/R(s) for control system shown in Figure 1.a using \"block algebra\" ; that is by simplification using series, parallel, and feedback connecting blocks to a single block connecting input and output (see Figure 1.b). Then, create a simulation of this system with a time increment of 0.1 seconds and a total simulation time of 10 seconds. From this simulation, obtain the offset error, in percentage. Hint: At steady-steady, the error is the difference between the desired set point and the actual response at steady-state). $G_1$ $G_2$ $G_3$ $G_4$ $G_5$ $R(s)$ $\sum$ $x$ $\sum$ $Y(s)$ $4$ $1 --- s$ $5$ $2 ----- 0.1s + 1$ $1 --- s$ Figure 1.a. Positional Control System for Problem #2. $R(s)$ $Y(s)$ Figure 1.b. Reduced block diagram for the control system in Problem #2.

          Problem #2 (25 points): Obtain the transfer function H(s) = Y(s)/R(s) for control system shown
in Figure 1.a using \"block algebra\" ; that is by simplification using series, parallel, and feedback
connecting blocks to a single block connecting input and output (see Figure 1.b). Then, create a
simulation of this system with a time increment of 0.1 seconds and a total simulation time of 10
seconds. From this simulation, obtain the offset error, in percentage. Hint: At steady-steady, the
error is the difference between the desired set point and the actual response at steady-state).
$G_1$
$G_2$
$G_3$
$G_4$
$G_5$
$R(s)$
$\sum$
$x$
$\sum$
$Y(s)$
$4$
$1
---
s$
$5$
$2
-----
0.1s + 1$
$1
---
s$
Figure 1.a. Positional Control System for Problem #2.
$R(s)$
$Y(s)$
Figure 1.b. Reduced block diagram for the control system in Problem #2.

Problem #2 (25 points): Obtain the transfer function H(s) = Y(s)/R(s) for control system shown
in Figure 1.a using b̈lock algebra;̈ that is by simplification using series, parallel, and feedback
connecting blocks to a single block connecting input and output (see Figure 1.b). Then, create a
simulation of this system with a time increment of 0.1 seconds and a total simulation time of 10
seconds. From this simulation, obtain the offset error, in percentage. Hint: At steady-steady, the
error is the difference between the desired set point and the actual response at steady-state).
G1
G2
G3
G4
G5
R(s)
∑
x
∑
Y(s)
4
1
—
s
5
2
—–
0.1s + 1
1
—
s
Figure 1.a. Positional Control System for Problem #2.
R(s)
Y(s)
Figure 1.b. Reduced block diagram for the control system in Problem #2.

Added by Soledad S.

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