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Reduce The Block Diagram and Calculate The Transfer Function For Figures 1 - 3

The document contains multiple problems involving analyzing block diagrams and control systems. It provides block diagrams and transfer functions for various systems and asks questions about calculating outputs, stability, steady state error and determining number of poles in different regions of the s-plane.

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222 views13 pages

Reduce The Block Diagram and Calculate The Transfer Function For Figures 1 - 3

The document contains multiple problems involving analyzing block diagrams and control systems. It provides block diagrams and transfer functions for various systems and asks questions about calculating outputs, stability, steady state error and determining number of poles in different regions of the s-plane.

Uploaded by

bilal butt
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Problem-1 (Block Diagram Reduction)

Reduce the block diagram and calculate the transfer function for Figures 1 - 3.

Figure 1: System 1a

1
Problem 1(b):

Figure 2: System 1b

2
Problem 1(c):

Figure 3: System 1c

3
Problem-2 (Block Diagram Reduction)
Calculate the output C(s) for the system shown in Figure-4.

Figure 4: System 2

4
Problem-3

1. Draw the output for the system shown in Figure-5 for a step input.
2. Consider a system with open loop equation and unity gain negative
feedback as:
d2y dy
dt2 + dt + 3y = u(t)
Draw the output response for this system for a step input.

Figure 5: System 3a

5
Problem-4(Stability)
Identify the characteristic equation for the systems shown in figures - 6 and 7.
Also find whether the system is stable or not using Routh-Hurwitz Criterion.

Figure 6: System 4a

6
Problem-4(b)

Figure 7: System 4b

Problem-5 (Stability)
Find the value/range for K which makes the systems shown in figures - 8 and
9.

Figure 8: System 5a

7
Problem-5 (b)

Figure 9: System 5b

8
Problem-6 (Steady State Error)
Calculate the steady state error for the systems below:
1. for a step input with gain equal to 12.5.
s+3
G(s) =
20s3 +
12s + 25
2. for a ramp input.
1
G(s) = s2 + s + 1

3. for a parabolic input. 1.5


G(s) =
(s + 2)(s + 1)

9
Figure 10: System 7a

1
0
Problem-8 (Stability)
For the systems shown in figures -11 and 12, determine whether the systems
stable or not? Also find how many poles are in right half plane, left half plane
or on jω axis.

Figure 11: System

1
1
Problem-8 (Stability)

Figure 12: System 8b

1
2
1
3

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