Obtaining Transfer Function using Block Diagram Reduction Technique

Original circuit:

Step 2:

Refer to the unsimplified circuit and the value so that the logic of the circuit remains same but it gets simplified.

Required circuit:

Step 3:

Refer to the unsimplified circuit and the value so that the logic of the circuit remains same but it gets simplified.

Hint - Shift the branch point towards right

Required circuit :

Step 4:

Refer to the unsimplified circuit and the value so that the logic of the circuit remains same but it gets simplified.

Hint - Two blocks are in series

Required circuit:

Step 5:

Refer to the unsimplified circuit and the value so that the logic of the circuit remains same but it gets simplified.

Hint - Two blocks are in series

Required circuit:

Step 6:

Refer to the unsimplified circuit and the value so that the logic of the circuit remains same but it gets simplified.

Hint - Shift the Summing point towards left

Required circuit :

Step 7:

Refer to the unsimplified circuit and the value so that the logic of the circuit remains same but it gets simplified.

Hint - Two blocks are in series

Required circuit:

Step 8:

Refer to the unsimplified circuit and the value so that the logic of the circuit remains same but it gets simplified.

Hint - Two blocks are in series

Riquired circuit:

Step 9:

Refer to the unsimplified circuit and the value so that the logic of the circuit remains same but it gets simplified.

Hint - Summing point 1 & 2

Riquired circuit:

Step 10:

Refer to the unsimplified circuit and the value so that the logic of the circuit remains same but it gets simplified.

Hint - Summing point 1 & 2

Riquired circuit:

Step 11:

Refer to the unsimplified circuit and the value so that the logic of the circuit remains same but it gets simplified.

Hint - There is a negative feedback loop.

Riquired circuit:

Original circuit:

Step 12:

Refer to the unsimplified circuit and the value so that the logic of the circuit remains same but it gets simplified.

Final step:

Refer to the unsimplified circuit and the value so that the logic of the circuit remains same but it gets simplified.

Hint - There is a negative feedback loop.

Riquired circuit:

Final step: