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QUESTION: 1

The transfer function of the control system represented by the block diagram shown below is

Solution:

On combining the blocks G_{2} and G_{3} which are in parallel, the given block diagram will be reduced as shown below.

QUESTION: 2

Which one of the following block diagrams in options given is equivalent to the below shown block diagram?

Solution:

The T.F. of the given block diagram can be reduced to:

Its block diagram is shown below, where a closed loop feedback system is transformed into an unity feedback system and vice-versa,

QUESTION: 3

Consider the following statements:

1. Transfer function is an expression which relates output to input in s-domain.

2. Transfer function gives information about the internal structure of the system.

3. A system can be represented by the block diagram if the transfer function of the system is known.

4. Block diagram is the flow of system variables from one block to another block represented by a single line.

Q. Which of the above statements is/are true?

Solution:

Transfer function does not gives information about the internal structure of the system. Hence, staement-2 is false.

QUESTION: 4

The ratio C(s)/R(s) for the system shown in figure below is

Solution:

On shifting the take-off point beyond the block G_{3} and combining blocks G_{2} and G_{3}, the given block diagram is reduced as shown below.

The block diagram is further reduced as shown below.

QUESTION: 5

The transfer function C(s)/R(s) for the system described by the block diagram shown below is given by:

Solution:

On shifting the take-off point beyond block G, we have the reduced block diagram as shown below:

On further reducing the above block diagram, we get the block diagram as shown below.

QUESTION: 6

The transfer matrix for the multi input-multi output (MIMO) system represented by the block diagram shown below is given by

Match List-I with List-II and select the correct answer using the codes given below the lists:

Solution:

QUESTION: 7

Consider the three block diagrams A, B and C shown below.

Q. Which one of the following statements is correct in respect of the above block diagrams?

Solution:

Shifting the take-off point after block G_{3} in block diagram-A, the reduced block diagram will be as shown below.

Reducing further, the block diagram is reduced as shown below.

Thus, the block diagrams A and B are equivalent to each other.

On further reducing the block diagram-B, we get the block diagram-C. Hence, all the three block diagrams A, B and C are equivalent to each other,

QUESTION: 8

The poles of the transfer function C(s)/R(s) of the system represented by the block diagram shown below are located at

Solution:

The given block diagram can be reduced as shown below.

QUESTION: 9

The transfer function C(s) / R(s) for the block diagram shown below is

Solution:

Combining the blocks in parallel, the block diagram is reduced as shown below.

QUESTION: 10

The value of for the system described by the block diagram shown in figure below Is.

Solution:

The given block diagram can be reduced as shown below.

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